datos corteII

ENCUESTA DE HOGARESMUESTRA FORMADA POR 1500 UNIDADES FAMILIARES

NID PE ING AL AD V A O1 4 47298 9336 4828 1 0 02 5 41739 7490 3840 1 1 03 2 43480 9205 3624 0 1 04 3 36991 7587 4223 1 0 05 3 31259 6372 2906 1 0 06 1 34246 6871 5145 1 0 17 4 43698 9789 4377 0 1 08 2 55049 10880 4589 0 1 09 2 52371 9752 6184 1 0 0

10 3 33274 6507 3335 1 0 011 3 42086 8767 5219 1 0 012 3 34115 6240 3243 1 0 013 2 34306 7403 3192 1 1 014 2 36945 7396 4027 1 1 015 2 53344 10465 6383 0 0 016 3 40847 7783 3723 1 1 017 5 35899 7677 2817 1 0 018 3 42546 8181 5137 0 1 019 3 37580 7736 4491 0 1 020 2 40902 8209 3749 1 1 021 2 51243 11572 4299 0 1 022 3 41463 8675 4532 1 0 023 3 32242 6224 3258 0 0 024 3 39982 8895 2814 1 1 025 4 41524 10694 4122 1 0 026 3 36557 7455 3061 1 1 027 2 40026 7691 3284 0 0 028 3 38400 7797 4014 0 0 029 3 43282 8483 3591 1 0 0

NID: NÚMERO DE ORDENPE: NÚMERO DE PERSONAS EN LA FAMILIAING: INGRESOS FAMILIARES ANUALESAL: GASTOS DE ALIMENTACIÓN ANUALESAD: GASTOS ADICIONALES ANUALESV: VIVIENDA PROPIA. SÍ:1, NO:0A: TIENE AUTOMOVIL. SÍ:1, NO:0O: TIENE COMPUTADOR PERSONAL. SÍ:1, NO:0M: MUNICIPIO. VALORES DE 1 A 100

30 1 40422 7734 4550 1 1 031 4 44914 9745 5599 1 0 032 3 45132 9150 4334 0 0 033 1 42784 8246 4283 1 0 034 2 42952 8056 4595 0 0 035 3 38553 8162 3491 1 1 036 4 37272 7535 3272 1 0 037 2 36197 6961 3100 1 0 038 4 41672 7656 3879 0 0 039 2 44147 9576 3663 1 1 040 2 35837 8486 3485 1 1 041 3 35255 7383 3037 1 1 042 3 38256 7781 3778 1 0 043 3 40063 8812 3914 0 0 044 3 43854 10318 3739 0 0 045 2 43094 9857 4701 1 1 046 3 44665 9362 3810 1 0 047 2 40326 8855 3608 1 0 048 4 32676 6409 3532 1 0 049 2 39957 7512 5359 0 0 050 2 42371 8130 4209 1 1 051 5 39196 8497 4515 1 0 052 3 37453 7661 4324 1 1 053 1 41680 8351 3547 0 0 054 1 39958 8243 3552 1 1 055 3 33620 6074 3178 1 1 056 6 45658 8223 5080 1 1 057 2 43913 8801 4684 1 0 058 1 30488 6399 3056 1 0 059 4 46063 8314 3755 1 1 060 2 41840 8349 5038 1 0 161 1 50378 10327 5075 1 0 062 4 46079 9967 5142 1 1 063 3 49426 9316 4376 1 1 064 4 39905 8684 4873 0 0 065 1 37015 7436 3252 1 1 066 1 39787 8181 3288 0 1 067 4 31051 6739 3430 0 0 168 4 39551 7646 3782 0 0 069 2 42076 7726 4653 1 1 070 2 47077 9582 4155 1 1 071 3 42393 9294 3243 1 0 0

72 4 40531 8460 4038 0 0 073 3 41843 9078 4157 1 0 074 4 38877 8167 3889 1 1 175 4 46589 9877 4873 1 1 076 2 41818 8643 3439 1 1 077 4 43092 9577 4347 1 0 078 4 42084 8738 4480 1 0 079 3 31980 6655 3308 0 0 080 4 44306 8447 5096 1 0 181 3 41973 8854 3689 0 0 082 1 35944 7870 3645 1 0 083 2 33781 6979 3163 1 0 084 4 42979 8633 4670 0 1 085 2 44014 9263 4382 1 0 086 5 42747 9240 4996 0 0 087 3 46084 10677 3198 1 0 088 4 44493 8304 4165 1 0 089 1 44916 9182 2302 0 0 090 3 41282 7779 4102 1 1 091 3 36372 7805 3553 0 0 092 5 46106 9323 4981 1 0 093 3 46845 8734 5308 1 1 094 2 51473 9618 5475 0 0 095 2 44753 8646 4746 1 0 096 3 41896 9201 4233 1 0 097 4 44893 9459 4360 1 1 198 4 38656 7261 3758 1 1 099 4 45079 9687 6574 1 0 0

100 1 47192 10472 5857 1 0 0101 2 43406 9751 4271 1 1 0102 1 40915 7916 3863 0 0 0103 1 30146 5547 2634 1 1 0104 3 42174 7621 4571 1 1 0105 4 36860 6711 4824 0 0 0106 5 37923 8882 4176 0 0 0107 2 38177 7279 2812 1 0 0108 3 35571 5826 3578 1 0 0109 3 34980 7693 4556 1 0 0110 4 39724 7717 3519 0 0 0111 2 32742 5045 2912 1 0 0112 2 39387 8945 4168 1 1 0113 2 31778 6384 2763 0 0 0

114 2 43896 8687 5034 1 1 0115 5 38341 7752 3420 1 0 0116 3 45607 8968 5667 1 1 0117 3 38213 7086 4273 1 1 0118 5 36193 8005 3672 0 0 0119 1 35228 6606 3684 1 0 0120 1 35118 7539 2563 1 0 0121 4 46370 9021 4299 0 0 0122 3 42491 9194 4336 0 0 1123 3 39336 7265 3913 1 0 0124 1 40630 7684 3853 1 1 0125 1 35166 7182 4439 1 0 0126 4 38009 8414 2943 0 0 0127 4 36302 8322 4657 1 0 0128 1 40624 8481 3783 0 0 0129 1 36440 7462 3184 0 0 0130 2 42429 9808 4105 0 0 1131 2 43865 10084 4690 0 0 0132 2 45322 10152 4529 1 1 0133 5 34705 6657 3803 1 1 0134 5 45401 8139 4114 1 0 0135 2 42224 8078 4246 1 0 0136 2 39465 8125 3001 1 1 0137 1 43499 8710 4230 1 0 0138 3 35360 6729 3638 0 0 0139 2 46662 10592 5239 1 1 0140 1 43023 8810 4119 1 0 0141 1 41807 8592 3864 1 0 0142 2 46105 10466 4004 0 0 0143 4 47695 9252 5200 1 0 0144 3 38248 7627 2451 0 1 0145 4 45978 9404 5308 0 0 0146 4 34567 7088 3830 0 0 0147 3 30919 6677 2516 1 1 0148 4 43247 8196 4161 0 1 0149 3 47655 8917 5920 1 0 0150 4 44468 8559 3966 0 0 0151 2 44510 9742 4816 1 1 0152 4 38531 7507 4435 1 0 0153 3 39294 7287 3749 1 1 0154 4 36416 7109 3806 1 0 0155 2 43486 9921 4050 1 1 0

156 1 48492 10107 3719 1 1 1157 3 41733 8231 3592 0 0 0158 2 39962 7242 4576 1 1 0159 4 36127 7646 3575 1 0 0160 1 34850 7713 4055 1 0 0161 3 40885 8507 2977 0 0 0162 2 41855 7113 3630 1 1 0163 3 36794 6299 3530 1 1 0164 2 42090 7904 3856 0 1 1165 3 36791 7476 2944 0 0 0166 5 32687 6357 2681 1 0 1167 4 37867 8652 3870 0 0 0168 2 42886 7622 4527 1 0 0169 3 36176 7990 3679 1 0 0170 3 31632 5943 2194 1 1 0171 3 43218 8933 3739 1 0 0172 2 39265 7801 3178 1 0 0173 3 47377 10061 4175 1 0 0174 2 36757 7695 4355 0 0 1175 2 38251 7879 3460 1 1 0176 4 45419 9048 3745 0 0 0177 3 32305 5190 3239 0 1 0178 2 34327 6863 3273 1 1 0179 6 43726 7586 3571 0 0 0180 3 33119 6765 2836 0 1 0181 3 50161 11480 5371 1 1 0182 3 35562 7419 3060 0 0 0183 1 40527 9329 3424 1 0 0184 3 40665 7960 5061 1 1 0185 2 37571 8659 3713 1 0 0186 3 44262 8656 5269 1 0 0187 2 42587 8328 4256 0 0 0188 3 46309 9587 5368 0 1 0189 5 34832 7608 2837 1 1 1190 2 33757 6005 3761 0 0 0191 3 50132 9851 3822 0 1 0192 1 52082 11613 3612 1 0 0193 1 37964 7521 3225 0 0 1194 2 31611 6250 2985 1 1 1195 4 30458 6422 2637 1 1 0196 1 48979 9845 5538 1 1 0197 4 41246 8817 4574 0 0 0

198 1 35507 7762 4029 0 0 0199 4 48402 8637 3665 0 1 0200 4 39421 8554 4000 1 0 0201 3 39931 8833 4287 0 0 0202 4 33774 6607 3301 1 0 0203 2 38720 7744 3177 0 0 0204 5 32941 6715 3134 0 0 0205 1 42823 9612 3248 0 1 0206 1 38974 7732 3905 0 1 0207 5 37536 6802 3807 1 1 0208 2 41035 8156 3975 1 0 1209 1 34403 7884 3914 0 0 0210 4 32990 6262 3069 0 1 0211 3 40065 8389 3788 1 0 0212 2 47102 9765 4542 1 1 0213 4 36198 7612 4422 1 1 1214 2 37064 7945 2919 1 1 0215 2 46800 10098 4658 1 1 1216 1 47429 11559 5310 0 0 0217 4 42070 7832 5770 0 0 0218 4 45204 8664 4849 0 0 0219 4 45330 8757 5030 1 1 1220 2 39142 8043 4326 0 0 0221 5 32121 6463 3676 1 1 0222 4 49417 9277 3692 1 1 1223 1 44998 8488 4144 1 0 0224 3 36070 7955 4008 1 1 0225 1 44901 9784 4313 1 1 0226 4 40188 8523 4964 1 0 0227 2 36582 6399 2997 0 0 0228 1 43451 8712 4229 1 1 0229 3 42600 8956 4177 1 1 0230 2 40653 8978 4467 1 0 0231 4 34173 6934 3540 1 0 0232 3 47436 9019 4888 1 1 0233 3 43918 8392 4108 1 0 0234 4 49450 10222 4489 0 0 0235 4 41808 8649 3686 1 1 0236 1 39555 7037 3510 1 1 0237 4 46666 9133 5199 1 1 0238 3 37994 7365 3442 0 0 0239 3 37212 6738 3399 0 1 1

240 2 35229 5867 3730 0 1 0241 1 36608 6744 3128 1 0 0242 3 40909 8895 4045 1 1 0243 5 36336 7305 3755 1 1 1244 3 35889 7577 3933 0 1 0245 1 39480 9076 3932 1 1 0246 2 38268 8935 4441 1 0 0247 3 42005 9338 4404 1 0 0248 1 35020 7008 3594 0 1 0249 3 41243 8016 4243 0 0 0250 4 45274 9095 4040 0 0 0251 2 40604 9541 3940 0 1 0252 2 42380 8027 4639 0 0 0253 3 42576 9677 5134 1 0 1254 3 48097 8888 4592 1 0 1255 4 39953 8221 3777 0 0 0256 3 48089 10060 4481 1 1 0257 5 31991 6703 3139 0 0 0258 1 35441 7314 3259 0 0 0259 4 37890 8577 4205 1 0 0260 3 40821 8941 4876 0 0 0261 1 38477 7861 3534 0 0 0262 4 47318 9862 5333 1 1 0263 1 45449 9687 4681 1 0 1264 4 36785 6889 3175 1 0 0265 1 33072 7014 3152 1 0 0266 4 39286 7912 4801 1 0 0267 2 45414 10173 4864 1 0 1268 4 36677 6877 3251 1 0 0269 3 38259 7198 4419 1 0 0270 1 45707 9737 4726 1 0 0271 5 40202 8280 3030 0 0 0272 4 46410 8578 4537 1 1 0273 4 48246 8924 5293 0 1 0274 2 44316 8478 3759 1 1 0275 1 30694 6002 2399 0 1 1276 1 31376 5779 2986 1 0 0277 2 30661 6089 2259 0 0 0278 1 46658 9170 5198 1 1 0279 4 43219 8103 3726 1 1 0280 2 35178 7592 3272 1 1 0281 3 49361 9149 4214 1 0 1

282 1 37852 6365 4703 0 1 0283 4 46870 10367 4850 0 0 0284 3 43776 9857 5217 1 1 0285 2 43048 8903 4669 1 1 0286 3 44105 8965 5267 1 1 1287 2 43331 9138 4418 1 0 0288 2 45977 9486 4375 0 0 0289 1 44367 9130 4178 0 1 0290 1 36412 7534 3145 1 1 0291 5 46422 10065 4441 1 1 0292 2 46216 9899 6186 0 0 0293 6 34183 7705 3797 0 1 0294 3 38894 7325 2577 1 0 0295 5 38530 7931 4032 1 0 0296 5 35551 6982 3757 1 0 0297 5 45720 9764 5103 1 1 0298 3 40199 8368 4627 0 0 0299 4 41127 7661 3132 1 1 0300 1 46825 9726 3774 0 0 0301 4 34800 7243 3820 1 0 0302 3 32605 5755 3204 1 1 0303 4 49762 10910 4880 1 1 0304 1 36262 6636 3140 0 0 0305 4 33820 6180 4037 1 0 0306 1 34209 6712 3197 1 0 0307 4 43164 7726 4049 0 1 0308 2 35957 6808 3000 0 0 0309 1 46490 10362 3952 1 0 0310 4 35599 7415 3502 0 1 0311 6 43335 9577 4593 1 0 0312 4 43199 8121 4642 1 0 0313 4 31324 7008 2988 1 1 0314 4 46208 10066 4519 1 0 0315 5 42073 8058 4230 1 0 0316 2 42861 8413 3468 0 0 0317 3 46898 10076 5645 1 0 0318 1 40394 7948 3985 0 1 1319 5 36638 7447 4592 0 0 0320 5 40359 7420 4409 0 1 0321 2 41013 8801 3988 1 0 0322 4 47689 9364 4700 1 0 0323 1 43257 9614 3770 0 0 0

324 1 30506 6617 2897 0 0 0325 2 41589 7086 3925 0 0 0326 4 40487 8621 4345 1 1 1327 5 51582 10934 5506 1 0 0328 1 44896 9774 4076 1 0 0329 3 48991 10886 4228 1 1 0330 1 32612 6814 3169 1 0 0331 3 42303 8465 3282 1 0 1332 3 43765 10273 4572 0 0 0333 3 34461 7579 4115 1 0 0334 6 42203 8502 4297 1 0 0335 2 40079 9448 3429 0 0 0336 1 33262 7120 3106 1 0 0337 1 40708 8915 4175 1 1 0338 2 39891 6937 4481 0 0 0339 2 46945 9146 4768 1 1 1340 6 47188 8948 3655 1 1 0341 3 36273 7453 4207 0 0 0342 3 38876 7804 3700 0 0 0343 1 32834 6119 3764 1 1 0344 3 34023 6338 4023 1 1 0345 2 43803 10041 4234 1 0 0346 5 36239 7579 4181 1 1 0347 3 39878 8411 3490 0 0 0348 4 39127 6948 4278 1 0 0349 6 34239 7278 3121 0 0 0350 2 38264 7229 5006 1 1 0351 2 36419 7797 4460 0 1 0352 3 40260 7919 3905 1 0 0353 4 40233 7607 3604 1 0 0354 5 46575 9040 4427 0 1 0355 2 39271 7766 3659 1 0 1356 4 35478 7184 3823 1 0 0357 4 35852 7329 3933 1 1 0358 3 41121 9175 4524 0 0 0359 3 45901 9544 3405 0 0 0360 4 40345 9034 3976 0 0 1361 2 39273 7916 4212 0 0 0362 3 36845 7285 4086 0 0 0363 3 38809 7616 4143 1 0 0364 3 39924 8975 2587 1 0 0365 1 48152 10021 4163 1 0 0

366 2 42489 8326 4175 0 1 0367 4 44308 8918 3881 0 0 0368 4 41503 7834 4121 1 0 0369 2 37358 8158 2978 0 0 0370 1 34963 6256 3595 1 1 0371 5 37882 7932 3862 1 0 0372 3 38966 8528 4061 1 1 0373 4 38755 8599 2748 0 0 0374 2 42717 8637 4403 1 0 0375 3 43319 10071 4885 0 0 0376 2 54774 9613 4084 1 0 0377 3 32728 6511 2805 1 1 0378 2 36555 7376 3158 0 0 0379 4 42794 9280 3308 1 1 0380 4 45478 9374 5251 1 0 0381 1 36127 7422 3748 0 0 0382 3 36329 7358 4124 0 0 0383 4 40103 8000 3731 0 1 0384 1 46695 9829 4977 0 0 0385 3 46332 9846 5604 0 1 0386 4 46949 9153 4554 1 1 0387 2 44708 8941 3474 1 0 0388 1 38667 7358 4144 0 0 0389 2 46201 10133 4729 0 1 0390 4 48307 11035 4136 1 0 0391 4 41896 7480 3593 0 0 0392 2 44631 9207 5288 1 1 0393 2 36554 6957 3992 1 0 0394 3 44115 9710 4304 0 0 0395 5 43914 9254 4665 1 1 0396 3 31257 6163 3464 0 0 0397 3 39205 7551 4256 0 0 0398 5 40472 7990 3563 0 0 0399 1 47606 10637 4286 1 1 0400 4 36443 7385 3900 0 1 0401 2 45420 9100 4543 0 1 0402 3 38160 7854 4833 1 0 0403 3 36619 7726 3117 0 1 0404 4 40750 8658 3825 1 1 0405 1 34168 6069 3069 1 0 0406 2 41624 8349 4376 1 0 0407 4 51478 9766 4887 0 0 0

408 2 41043 8124 3998 0 0 0409 4 40788 8119 4213 1 0 0410 4 43026 9529 3280 1 0 0411 1 48384 9306 5904 1 0 0412 2 37056 7474 3025 0 1 1413 2 37717 7378 3619 1 0 1414 3 35306 7196 3897 0 0 0415 2 51783 9730 6333 1 1 0416 1 40555 7888 3582 1 0 0417 1 41944 8033 3845 1 0 0418 3 42686 9284 3664 1 0 0419 1 37887 8018 3870 1 1 0420 1 43039 8095 6076 1 1 0421 2 38898 8173 4380 0 0 0422 2 47048 9822 5282 0 1 0423 4 46346 9241 5074 1 0 0424 1 37910 7911 3655 0 0 0425 5 42444 8327 4009 1 1 0426 4 33632 7131 2295 0 0 0427 1 37245 7211 3561 0 0 0428 2 33055 6109 2927 1 1 0429 3 40689 6891 4127 1 1 0430 3 34488 7337 2687 1 1 0431 2 35628 7732 3713 0 1 0432 2 34777 7569 3588 1 1 0433 2 42261 9730 5062 1 0 1434 2 33114 7318 3056 0 1 0435 2 40723 7576 4248 1 0 0436 2 39005 8988 3520 1 1 0437 4 42781 7602 5736 0 1 0438 3 38735 6488 3882 1 0 0439 1 32065 5709 2832 0 0 0440 1 35739 7066 3417 1 0 0441 3 41183 8710 3307 1 0 0442 4 33631 6614 4189 1 0 0443 4 44699 9759 5024 0 0 1444 2 47639 9819 5387 1 0 0445 3 40597 8272 3848 1 0 0446 1 51988 11381 5398 0 1 0447 4 30654 6726 3218 1 0 0448 1 33726 6691 3226 0 0 0449 4 43463 9057 2950 1 0 0

450 1 38675 8439 2885 0 0 0451 4 43871 8611 4190 1 1 0452 4 39111 7747 3833 1 1 0453 3 45570 8257 4872 0 0 0454 3 36406 7897 4001 0 1 0455 1 40785 8044 4278 0 1 0456 5 31695 7022 4228 0 0 0457 2 38715 7167 4716 1 0 0458 3 49722 8965 4182 1 1 0459 3 48721 9254 5302 1 1 0460 2 41785 7959 5131 0 0 1461 5 36659 6519 3963 0 0 0462 3 44220 8190 4401 1 0 1463 1 49331 10908 4748 0 0 0464 3 35556 6469 3162 0 1 0465 3 36985 8021 4573 0 0 0466 4 44943 8719 4575 0 1 0467 1 37929 8366 2673 1 0 0468 1 36058 7646 3164 1 0 0469 4 41432 8178 3375 0 0 1470 2 37013 7602 3516 1 0 0471 4 31089 6495 2848 0 0 0472 4 37665 7592 4323 1 0 0473 2 39840 8926 3413 0 1 0474 4 43339 8287 4691 1 0 0475 5 37862 6936 4148 1 1 0476 3 34296 7409 2770 1 0 0477 2 44085 10368 4507 1 1 0478 4 35305 6603 3251 1 1 0479 2 44530 8941 3759 0 1 0480 2 52149 11708 6205 1 0 0481 2 40556 7942 5152 1 1 1482 1 39973 9246 2895 1 1 0483 1 39164 8992 4305 0 0 0484 4 37521 7914 3077 1 1 0485 3 32065 6304 3730 0 0 0486 2 42847 8956 3688 1 0 0487 4 36485 6985 3575 1 0 0488 2 36138 7016 2506 1 0 0489 5 49936 9411 4738 1 0 1490 1 35271 7903 4097 0 1 0491 3 39604 6870 2931 1 1 1

492 4 50727 11238 4475 0 0 0493 3 40961 7704 3931 1 0 0494 4 44892 9852 5732 0 1 0495 1 40852 7928 4646 0 1 0496 3 32730 6660 3115 1 1 0497 5 48894 9647 6215 1 0 1498 1 37625 6925 2957 1 1 0499 5 38883 7393 4816 1 1 0500 2 44129 8924 5366 0 0 0501 4 35201 6565 4075 1 0 0502 3 39562 7065 3812 0 0 0503 1 39223 6892 5203 1 1 0504 2 35301 6503 2844 1 0 0505 3 53722 11271 5581 1 1 0506 1 42258 7630 5324 1 1 0507 1 30475 6674 2350 1 0 0508 4 39844 7894 4509 1 0 0509 1 38952 8617 3537 1 0 0510 2 44837 9461 4224 1 1 0511 3 43349 8855 3617 1 1 0512 4 47314 9441 5298 1 0 0513 3 42621 8334 4593 1 0 0514 4 36344 8300 3826 0 0 0515 4 44711 8483 5456 1 0 1516 1 44816 8477 4684 1 0 0517 5 43265 8878 3848 1 1 0518 3 36798 7210 3460 0 1 1519 2 38848 7976 4238 1 0 0520 4 38370 8475 4585 1 1 0521 2 38469 8135 4717 0 0 0522 2 40371 7873 4082 0 0 0523 5 33114 6879 3342 1 0 0524 4 40004 7595 4344 1 0 0525 2 39476 7628 3019 1 0 0526 2 39124 8036 4532 0 0 0527 2 40169 7189 4324 0 1 0528 2 41512 8274 3813 1 1 0529 3 37847 7138 4218 1 0 0530 2 40763 7552 3955 1 0 1531 4 33984 6517 2986 0 0 0532 3 50802 10775 5540 1 0 0533 3 38856 7614 3412 0 0 0

534 3 38825 8115 4160 1 0 1535 3 36801 7505 3171 1 0 0536 3 36783 7943 4241 1 0 0537 5 41313 8177 4038 0 0 0538 4 38745 6589 4650 1 0 1539 1 34238 6954 2891 0 0 0540 1 38726 7105 4199 1 1 0541 3 38504 7557 4376 1 1 0542 5 33243 7405 3232 1 0 0543 4 35732 8140 4073 0 0 0544 2 51030 9447 4391 1 0 0545 4 40223 8888 3173 0 0 0546 1 46372 9663 4207 1 0 0547 1 43314 8863 3757 1 0 0548 2 41689 8658 3975 1 0 1549 1 44405 9434 4772 1 0 0550 4 34941 6997 3162 1 0 0551 1 34783 7185 3755 0 0 0552 2 40525 8232 4224 0 0 0553 2 36336 6728 3979 1 1 0554 4 45853 8530 4956 0 0 0555 2 44936 8520 4102 1 0 0556 3 31249 6593 3191 1 1 0557 1 41657 7846 3666 1 0 0558 1 38256 8747 4082 1 1 0559 1 33296 6094 3699 0 0 0560 3 41905 8136 4155 1 1 0561 5 46310 9568 5222 1 0 0562 2 34604 7579 3168 0 1 0563 5 32703 7860 3115 0 0 0564 3 30052 5482 2728 1 1 0565 2 43746 8266 4902 0 0 0566 1 31143 5896 3745 0 0 0567 3 38993 8277 2612 0 0 0568 1 37472 7455 2832 1 1 0569 2 45121 10623 4757 1 1 0570 3 42084 8816 4207 1 0 0571 4 37879 7575 3156 0 1 0572 3 44671 9083 4949 0 1 0573 1 42164 7300 4706 0 1 0574 3 30906 6089 3623 0 1 0575 3 36229 6869 3667 0 0 0

576 3 51093 10711 5549 0 0 0577 1 37408 7851 3962 0 1 0578 2 47224 9714 4488 1 0 0579 3 39930 8028 3723 0 0 0580 2 41999 8974 5284 0 0 0581 2 46479 8348 4683 1 0 0582 5 32662 6168 3043 1 1 0583 2 35512 7178 3164 1 1 0584 3 42948 7885 3636 0 0 0585 2 42115 9151 4581 1 1 0586 4 39166 7838 4176 0 0 0587 2 42740 7633 3844 0 1 1588 3 37801 7776 3695 1 1 0589 5 44613 9887 5454 1 0 0590 1 38201 9331 4114 1 0 0591 2 40340 9434 4101 1 0 0592 4 41213 9526 3905 0 0 0593 2 38393 7008 3576 1 0 1594 1 44254 9094 4509 1 0 0595 2 42068 8696 3525 0 1 0596 1 41520 7459 3694 0 1 0597 4 39359 8875 3648 1 0 0598 3 41106 8553 3622 1 1 0599 3 40287 8723 3053 0 0 0600 3 39987 7672 3847 1 1 0601 2 37749 7358 3573 0 0 1602 4 44279 9135 3684 0 1 0603 2 39260 6869 3419 1 0 0604 4 42332 8644 5456 1 1 1605 2 36160 6722 3123 0 1 0606 3 43123 8586 4379 1 0 0607 1 45336 8440 5329 0 1 0608 4 43474 10466 5152 0 0 0609 1 42441 8613 5577 1 0 0610 2 40968 8560 4080 1 0 1611 2 41212 9040 3699 0 0 0612 1 41449 7339 3473 1 0 0613 1 47129 8889 5332 0 0 0614 2 36774 8310 3897 0 0 0615 1 41471 8059 3727 1 1 0616 3 46411 8452 3835 1 0 0617 1 45130 9910 3989 1 1 0

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660 3 44292 9290 5223 1 1 0661 3 46252 8491 4889 0 1 0662 1 42563 9386 3724 0 0 0663 4 42703 7692 3944 1 1 0664 3 39641 6887 3192 1 1 0665 1 41767 9238 3078 0 0 0666 4 39970 9140 3343 1 0 0667 3 34968 7760 3800 0 1 0668 4 49027 10543 4805 0 1 0669 2 40864 7775 4201 1 1 0670 4 35640 7080 3330 1 0 0671 4 48637 9994 6452 1 0 0672 1 39844 8439 3974 0 0 0673 4 46187 8285 3323 1 0 0674 3 38419 8566 2982 1 0 0675 1 38528 7557 3917 1 1 0676 2 42816 9168 4235 1 0 0677 5 44001 7512 4606 1 1 0678 4 41652 7757 4087 1 0 0679 2 46791 9168 5042 1 1 1680 4 43465 8351 2929 1 1 0681 4 45672 8520 5032 0 0 0682 4 41309 8432 3476 1 1 1683 4 42010 8418 2822 1 1 0684 2 45244 8347 4946 1 0 0685 3 36208 7326 4443 1 0 0686 2 43098 8930 4572 1 0 0687 1 42089 8266 5284 1 1 0688 2 35257 7866 3896 0 0 0689 2 34520 6969 4085 0 0 0690 3 47039 9915 4129 1 1 0691 4 38086 6501 3655 1 0 0692 2 33523 6855 3763 0 0 1693 2 45132 9408 3981 0 0 0694 4 42900 7852 4601 0 1 1695 4 41193 7164 4571 1 0 1696 2 41713 7231 3831 1 0 0697 2 30983 5989 3478 0 0 0698 4 44962 9482 5015 1 0 0699 2 45053 8601 4294 0 0 0700 2 37291 7535 3082 1 0 0701 5 42045 8697 4943 1 1 0

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1332 3 41549 7913 4296 0 1 01333 5 40998 8903 3336 0 1 11334 2 39242 8262 3814 0 1 01335 2 42757 7712 4208 1 0 01336 3 42814 9717 6178 0 0 01337 4 34994 7101 3827 1 0 01338 3 42877 8559 4539 1 0 01339 2 30898 6550 3184 1 0 01340 5 43694 9139 4268 1 0 11341 2 46258 8861 4974 1 1 01342 2 38594 7812 4725 1 1 01343 3 36629 7710 3583 0 1 01344 2 42020 7927 4953 1 1 01345 3 34655 6678 3488 0 0 01346 4 38544 6895 3786 0 1 01347 3 44690 9005 4101 1 1 01348 1 45881 9207 4590 1 1 01349 5 45158 9276 5609 0 0 01350 2 49328 10257 4259 0 0 01351 6 39384 7878 4028 0 0 01352 2 36351 7127 2796 0 0 01353 2 42345 7094 4519 1 0 01354 4 38083 7896 4644 0 0 01355 4 44870 8345 5630 1 0 01356 2 33676 7700 3452 0 0 01357 3 36373 6704 3927 1 1 01358 2 37795 7834 3422 1 1 01359 1 37123 7371 2504 1 0 01360 4 33315 6603 3185 1 1 01361 1 37608 8531 3331 1 1 01362 1 38878 7783 2949 0 0 01363 3 38768 7277 3194 0 0 01364 4 44415 9371 3914 1 0 01365 3 36802 7048 3886 1 0 11366 4 36768 8134 3269 1 0 01367 4 36744 7128 2917 0 0 01368 3 35351 6913 3060 0 0 01369 2 47921 10290 3186 1 1 01370 3 34568 7517 3800 1 0 01371 2 32935 6203 3030 1 1 01372 5 38193 7798 4260 0 0 01373 4 40160 9411 4233 1 0 0

1374 3 41786 8988 4085 1 0 01375 5 43614 9452 3531 0 0 01376 2 38372 7978 4057 1 0 01377 3 47023 10047 4528 0 0 01378 4 43884 8705 4693 1 0 01379 4 42117 9353 4348 0 0 01380 1 41387 7371 3392 0 0 01381 3 54593 10863 4511 0 0 11382 4 47199 9503 5914 0 0 01383 4 41188 8077 3750 1 1 01384 1 41924 8959 4406 1 0 01385 4 30583 6538 3675 0 1 01386 2 43562 8357 5347 1 1 01387 2 36135 7180 3274 1 0 01388 3 41895 8627 4183 1 1 01389 2 40490 9170 3903 0 1 01390 4 31105 6421 2419 1 0 01391 1 37065 7902 4376 1 0 01392 1 41453 8756 2475 1 0 01393 3 36407 7179 3953 1 1 01394 4 44520 9360 3656 1 1 01395 2 42630 8647 4577 1 1 01396 4 31315 6359 4093 1 0 01397 2 37800 8211 4492 1 1 01398 2 39657 9143 3670 1 1 01399 3 41556 8349 3238 1 1 01400 3 43000 8107 4836 0 1 01401 3 35587 7523 3434 0 0 01402 2 43385 9260 4516 1 1 01403 5 44197 8083 4964 0 0 01404 1 42920 8086 3818 1 1 01405 2 34214 7407 3641 1 0 01406 5 42140 8477 4034 1 0 01407 2 41294 8273 3733 1 0 01408 5 41243 8784 3813 1 0 01409 1 41392 8352 4874 1 0 01410 3 47600 8972 5615 1 0 01411 2 42126 8484 4882 0 1 01412 3 36495 7217 3932 0 0 01413 4 35210 7318 3580 0 0 01414 1 47932 9627 4708 1 0 01415 2 39245 8459 3839 0 0 0

1416 2 41805 8064 5013 1 1 11417 1 48293 9232 4239 0 1 01418 1 48040 9632 4530 1 1 01419 5 41983 8161 5358 1 0 01420 4 38764 8099 3428 1 0 11421 2 38697 6594 3391 0 0 01422 3 37251 7510 3386 0 1 01423 1 40911 8162 3439 1 1 01424 2 44806 8315 4707 1 1 01425 2 42237 8448 5277 1 0 01426 1 32885 7229 3774 1 0 01427 3 40449 8052 4335 0 0 01428 3 30070 5950 3272 1 0 01429 3 40918 9292 4753 0 1 01430 2 48139 10886 5241 0 0 01431 3 36799 7697 3782 1 0 01432 3 34670 7412 3659 1 0 01433 3 42173 7809 4673 0 0 01434 3 42728 8716 4936 0 0 01435 2 43407 9026 4965 1 0 01436 4 37307 7833 3169 1 1 01437 2 43591 9232 4804 1 0 01438 2 49711 9811 4436 1 1 01439 3 41126 8829 4069 0 0 11440 1 41178 7017 4855 1 1 01441 3 47818 10883 3785 1 1 01442 1 46953 8603 3961 0 0 11443 5 35275 6891 3624 1 1 01444 1 38095 7577 3119 1 0 01445 3 42317 7895 6321 0 1 01446 3 36645 7755 3948 1 1 01447 1 41782 8556 5203 1 1 01448 3 46774 10251 5258 0 1 01449 3 42512 9424 4565 0 1 01450 1 47678 9348 4680 1 0 01451 1 39233 9083 4688 1 1 01452 3 42469 7798 4537 1 1 11453 3 37678 7646 2769 1 1 01454 2 31135 6106 2678 1 0 01455 3 43325 9155 4763 1 0 01456 2 37811 8110 4714 1 0 11457 3 35108 6718 2443 1 0 0

1458 5 36880 6829 3584 0 1 01459 4 44735 9116 4612 0 1 01460 2 36794 8080 3637 1 0 01461 1 41341 8657 3969 1 0 01462 5 42032 8199 4638 1 1 01463 5 44948 8951 4155 1 1 01464 4 41177 8815 3408 1 1 01465 3 37641 7376 4504 1 0 01466 5 40318 8236 4408 1 0 01467 1 46111 8882 3877 1 0 01468 2 43257 9225 4766 1 0 01469 2 39378 8919 3638 0 0 11470 2 39639 7144 5399 0 0 01471 2 37409 8609 2867 0 1 11472 1 40322 8694 3688 1 1 01473 3 41196 8850 3664 1 1 01474 2 47405 9804 5384 1 1 01475 1 43960 10621 4987 0 1 01476 4 35460 7374 3445 0 0 01477 1 37679 6568 3158 1 1 01478 2 37044 7909 3389 1 0 01479 5 50421 10421 4213 1 0 01480 5 35643 6384 3628 0 0 01481 3 44192 9686 4443 1 1 01482 1 39154 8684 2900 0 0 01483 3 41480 8571 5519 0 0 11484 2 38045 7865 2892 1 0 01485 2 47577 10474 4183 1 0 01486 3 35712 7015 3438 1 1 11487 5 31437 5357 3721 1 0 11488 3 35511 6978 3000 0 1 11489 4 41410 8752 3191 1 0 01490 3 35792 7874 4514 0 0 01491 6 45053 9182 4643 1 1 01492 2 47127 9026 4354 0 0 01493 2 35491 6823 3845 1 1 01494 5 51224 10850 5270 1 0 01495 2 36854 7854 3857 1 1 01496 3 34827 7512 2920 0 1 11497 2 34261 7071 3672 0 1 01498 4 35628 7152 3774 0 0 01499 5 51082 9819 5265 1 0 0

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42 3 30919 6677 2516 1 1 043 4 36416 7109 3806 1 0 044 4 36127 7646 3575 1 0 045 1 34850 7713 4055 1 0 046 3 36794 6299 3530 1 1 047 3 36791 7476 2944 0 0 048 5 32687 6357 2681 1 0 149 4 37867 8652 3870 0 0 050 3 36176 7990 3679 1 0 051 3 31632 5943 2194 1 1 052 2 36757 7695 4355 0 0 153 3 32305 5190 3239 0 1 054 2 34327 6863 3273 1 1 055 3 33119 6765 2836 0 1 056 3 35562 7419 3060 0 0 057 2 37571 8659 3713 1 0 058 5 34832 7608 2837 1 1 159 2 33757 6005 3761 0 0 060 1 37964 7521 3225 0 0 161 2 31611 6250 2985 1 1 162 4 30458 6422 2637 1 1 063 1 35507 7762 4029 0 0 064 4 33774 6607 3301 1 0 065 5 32941 6715 3134 0 0 066 5 37536 6802 3807 1 1 067 1 34403 7884 3914 0 0 068 4 32990 6262 3069 0 1 069 4 36198 7612 4422 1 1 170 2 37064 7945 2919 1 1 071 5 32121 6463 3676 1 1 072 3 36070 7955 4008 1 1 073 2 36582 6399 2997 0 0 074 4 34173 6934 3540 1 0 075 3 37994 7365 3442 0 0 076 3 37212 6738 3399 0 1 177 2 35229 5867 3730 0 1 078 1 36608 6744 3128 1 0 079 5 36336 7305 3755 1 1 180 3 35889 7577 3933 0 1 081 1 35020 7008 3594 0 1 082 5 31991 6703 3139 0 0 083 1 35441 7314 3259 0 0 0

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126 3 31257 6163 3464 0 0 0127 4 36443 7385 3900 0 1 0128 3 36619 7726 3117 0 1 0129 1 34168 6069 3069 1 0 0130 2 37056 7474 3025 0 1 1131 2 37717 7378 3619 1 0 1132 3 35306 7196 3897 0 0 0133 1 37887 8018 3870 1 1 0134 1 37910 7911 3655 0 0 0135 4 33632 7131 2295 0 0 0136 1 37245 7211 3561 0 0 0137 2 33055 6109 2927 1 1 0138 3 34488 7337 2687 1 1 0139 2 35628 7732 3713 0 1 0140 2 34777 7569 3588 1 1 0141 2 33114 7318 3056 0 1 0142 1 32065 5709 2832 0 0 0143 1 35739 7066 3417 1 0 0144 4 33631 6614 4189 1 0 0145 4 30654 6726 3218 1 0 0146 1 33726 6691 3226 0 0 0147 3 36406 7897 4001 0 1 0148 5 31695 7022 4228 0 0 0149 5 36659 6519 3963 0 0 0150 3 35556 6469 3162 0 1 0151 3 36985 8021 4573 0 0 0152 1 37929 8366 2673 1 0 0153 1 36058 7646 3164 1 0 0154 2 37013 7602 3516 1 0 0155 4 31089 6495 2848 0 0 0156 4 37665 7592 4323 1 0 0157 5 37862 6936 4148 1 1 0158 3 34296 7409 2770 1 0 0159 4 35305 6603 3251 1 1 0160 4 37521 7914 3077 1 1 0161 3 32065 6304 3730 0 0 0162 4 36485 6985 3575 1 0 0163 2 36138 7016 2506 1 0 0164 1 35271 7903 4097 0 1 0165 3 32730 6660 3115 1 1 0166 1 37625 6925 2957 1 1 0167 4 35201 6565 4075 1 0 0

168 2 35301 6503 2844 1 0 0169 1 30475 6674 2350 1 0 0170 4 36344 8300 3826 0 0 0171 3 36798 7210 3460 0 1 1172 5 33114 6879 3342 1 0 0173 3 37847 7138 4218 1 0 0174 4 33984 6517 2986 0 0 0175 3 36801 7505 3171 1 0 0176 3 36783 7943 4241 1 0 0177 1 34238 6954 2891 0 0 0178 5 33243 7405 3232 1 0 0179 4 35732 8140 4073 0 0 0180 4 34941 6997 3162 1 0 0181 1 34783 7185 3755 0 0 0182 2 36336 6728 3979 1 1 0183 3 31249 6593 3191 1 1 0184 1 33296 6094 3699 0 0 0185 2 34604 7579 3168 0 1 0186 5 32703 7860 3115 0 0 0187 3 30052 5482 2728 1 1 0188 1 31143 5896 3745 0 0 0189 1 37472 7455 2832 1 1 0190 4 37879 7575 3156 0 1 0191 3 30906 6089 3623 0 1 0192 3 36229 6869 3667 0 0 0193 1 37408 7851 3962 0 1 0194 5 32662 6168 3043 1 1 0195 2 35512 7178 3164 1 1 0196 3 37801 7776 3695 1 1 0197 2 37749 7358 3573 0 0 1198 2 36160 6722 3123 0 1 0199 2 36774 8310 3897 0 0 0200 2 36730 6675 4123 1 1 0201 3 31576 7251 3112 1 0 0202 3 37506 7570 3880 0 1 0203 4 31644 6557 3276 1 1 0204 4 37220 8896 4095 1 0 0205 5 37406 6821 4147 1 1 0206 2 33860 7313 3587 0 1 0207 4 31138 7211 3359 1 1 0208 5 34248 7479 3414 0 0 0209 1 37763 8242 3605 1 1 0

210 3 36636 6833 3847 1 0 1211 1 36483 8309 3518 1 1 0212 3 34968 7760 3800 0 1 0213 4 35640 7080 3330 1 0 0214 3 36208 7326 4443 1 0 0215 2 35257 7866 3896 0 0 0216 2 34520 6969 4085 0 0 0217 2 33523 6855 3763 0 0 1218 2 30983 5989 3478 0 0 0219 2 37291 7535 3082 1 0 0220 3 34669 7543 3243 1 1 0221 4 30928 6040 2413 1 0 0222 3 32156 6314 2716 1 1 0223 3 36503 7378 4633 1 0 0224 2 31802 7306 3089 0 0 0225 5 35362 6222 3396 0 1 0226 5 30231 7174 3295 1 1 0227 1 34227 6664 4254 0 1 0228 3 31825 6022 3595 1 0 0229 2 30564 6107 2854 0 0 0230 3 37537 7560 4758 0 0 0231 2 34063 7329 3731 0 0 0232 4 37556 8183 4208 0 0 0233 3 37580 8173 3356 1 1 0234 3 34017 6993 3349 0 1 0235 2 35060 6986 3776 0 0 0236 4 35121 7143 3177 0 0 0237 4 33661 6218 3250 1 0 0238 4 36647 8087 4270 1 1 0239 5 34236 6843 2862 0 1 0240 3 36948 7217 3593 1 1 0241 2 37207 8285 4345 1 0 0242 2 35527 7184 4193 1 0 0243 2 34313 7309 2688 0 0 0244 3 36413 7447 3960 1 1 0245 4 37018 7466 3672 0 0 0246 2 31296 6203 2892 1 0 0247 4 35555 6559 3565 1 1 0248 4 36952 7386 4468 1 1 0249 3 36735 7633 3733 1 1 0250 3 33741 6975 2944 1 1 0251 4 37379 7087 3504 1 0 1

252 5 36599 8159 3749 1 1 0253 3 34993 7002 3726 0 1 1254 1 36015 8118 3946 1 1 0255 2 31615 6142 3066 1 1 0256 1 35702 7305 3712 0 0 0257 2 30518 5534 3723 1 1 0258 6 30357 7298 2772 1 0 0259 3 37882 9092 3921 0 0 0260 5 37825 7854 4119 0 0 0261 2 36438 7515 3161 0 1 0262 4 34008 6408 3376 0 1 0263 2 34084 6352 4633 0 1 0264 3 37173 8033 3315 0 0 0265 4 35697 6668 3075 1 1 0266 1 34784 7441 4278 1 1 0267 3 31449 7343 3061 1 0 0268 4 35164 7693 3978 0 1 0269 4 36162 6995 3567 1 0 1270 3 37430 7255 3504 0 1 0271 3 34943 6970 3811 1 0 0272 5 33901 6764 3244 1 1 0273 3 35299 6474 2873 1 1 1274 2 35924 7209 4047 1 0 0275 3 33720 7209 2379 0 1 0276 2 30904 6062 2796 1 0 0277 4 31544 7083 3111 0 0 1278 2 35553 7823 3814 0 1 0279 1 36046 7713 4102 1 1 0280 3 36386 7264 4415 1 1 0281 5 37600 7080 4239 0 0 0282 4 33478 6613 3611 0 0 1283 5 36832 8820 3522 1 0 0284 3 30999 6688 3300 0 1 0285 1 31331 6130 3546 0 1 0286 3 36005 7614 4257 1 0 0287 4 37807 8236 4587 1 1 0288 3 37261 6633 3629 1 1 0289 4 32042 7141 2593 0 0 0290 4 37570 7630 4152 0 0 1291 5 32947 7216 3404 1 0 0292 4 33032 7094 4053 0 0 0293 1 34237 7510 2788 1 1 0

294 3 37902 7737 3526 0 0 1295 2 31116 6622 3753 0 1 0296 4 37997 7797 3484 1 0 0297 5 36064 7535 2211 1 0 0298 1 36073 7150 4350 1 1 0299 6 36133 7090 3369 1 0 1300 1 34791 7730 3736 1 1 0301 2 36082 8372 3658 1 0 0302 5 34927 7749 3879 0 1 0303 2 33160 6231 3839 1 1 0304 4 37896 7864 3518 1 0 0305 2 36449 6897 3145 1 0 0306 4 34481 6196 3862 1 1 0307 3 37363 8509 3792 1 0 0308 5 35069 7382 3981 0 0 0309 4 35595 6910 3884 1 0 1310 2 37267 8179 3742 0 1 0311 3 36060 6745 4249 0 0 0312 3 31474 6673 3315 1 0 1313 1 34539 6725 2551 1 1 0314 2 37080 8142 3819 1 1 0315 2 35688 7073 3819 0 0 0316 4 33484 6011 4241 0 0 0317 2 36833 7024 4252 1 0 0318 1 34287 7328 3425 0 0 0319 5 31273 5908 3783 0 0 0320 3 35410 7586 3594 1 0 1321 3 35950 6733 4437 1 1 0322 2 36341 7224 4405 1 0 0323 4 34215 7755 2116 1 0 0324 2 35298 8130 4052 1 1 0325 2 35071 7379 3720 1 0 0326 2 37583 7541 3538 1 0 0327 2 30615 6748 3450 0 1 1328 3 37056 7916 3181 0 1 0329 3 31688 5763 2655 0 0 0330 3 36181 7014 4530 1 1 0331 3 36671 6518 3023 0 1 0332 3 30547 5929 2997 1 0 0333 2 37950 7845 3065 1 0 1334 3 31604 6306 2450 0 1 0335 2 37932 7951 4909 1 0 1

336 2 35170 7868 3184 1 0 0337 1 32789 6491 3390 0 0 0338 1 37364 6480 3286 1 1 0339 4 35091 6582 3724 1 1 0340 2 37274 8266 3707 1 0 0341 1 37443 7977 4052 1 0 0342 3 31811 7338 2174 0 0 0343 3 37698 7200 4089 0 1 0344 5 34870 7365 3129 0 0 0345 1 33357 6715 3342 1 0 0346 5 35789 7779 2541 0 0 0347 2 35639 8023 3259 1 1 0348 2 33085 7613 3814 1 1 0349 4 30612 5434 3386 1 1 0350 3 37172 7960 4071 1 1 0351 2 34166 6724 3722 1 0 0352 4 35507 7803 3054 1 0 0353 2 37969 7737 3946 0 0 0354 1 36407 6965 3150 1 0 0355 1 34563 6588 3543 1 0 0356 3 31532 6040 3328 1 1 0357 3 35065 6578 3193 1 0 0358 2 32699 6652 3468 0 0 0359 3 35559 7864 3681 1 0 0360 3 36026 7053 3895 1 0 0361 1 34387 6612 3929 0 0 0362 4 37215 7485 3702 1 0 0363 3 34306 5750 3925 1 0 0364 3 32824 6602 3475 1 0 0365 5 37433 6628 3772 1 0 0366 3 36122 6796 3806 1 0 0367 4 33216 7002 4178 1 1 0368 5 36998 6600 3844 1 1 0369 3 31159 5392 2893 0 0 0370 1 35906 7306 4173 1 0 0371 1 37326 7365 3752 1 1 0372 5 34654 6138 3850 1 0 0373 3 34029 7685 4520 1 0 0374 4 35055 6960 3199 1 0 0375 1 36818 8380 3366 0 0 0376 1 37146 8045 4161 0 0 1377 3 37969 7958 4397 1 0 0

378 2 37409 6204 2827 1 0 0379 1 35422 7170 3247 1 0 0380 1 33706 6576 4122 1 1 0381 2 34339 7152 3217 1 0 0382 2 34558 7357 3714 0 0 1383 3 35006 8208 3475 1 1 0384 2 35596 8306 2909 1 0 0385 4 36864 7246 3390 0 1 0386 2 35545 7406 3432 1 0 0387 3 37777 7973 4482 0 0 0388 1 30465 6334 3271 1 1 0389 3 37901 7274 3680 0 1 0390 1 36410 7974 3921 1 1 0391 3 32525 6557 3507 1 0 0392 3 34045 7550 3288 0 0 0393 4 30406 6724 2520 1 0 0394 1 36790 8155 3487 1 1 0395 3 37719 7333 3260 0 1 0396 3 37602 8299 3536 0 1 1397 1 35839 7313 3735 1 1 0398 3 35029 6214 3954 1 0 0399 3 36496 6578 3875 1 1 0400 3 37926 8156 5104 1 1 1401 4 36938 8028 3427 0 0 0402 5 37670 7153 4263 0 0 0403 4 36617 6916 3675 0 0 1404 2 36745 7184 3736 1 0 1405 2 31220 6378 2996 0 1 0406 2 33987 6271 3116 0 0 0407 1 36215 7280 3903 1 1 0408 2 34922 7243 3670 0 1 0409 3 37518 7967 4751 0 0 0410 1 36068 7877 2545 1 0 0411 1 37549 7633 4217 1 1 0412 2 37974 7564 4487 1 0 0413 2 34936 6449 3934 1 0 0414 3 32502 6946 3003 1 0 0415 3 36644 7109 3611 0 0 0416 4 34302 7381 2491 0 1 0417 3 33947 6906 3175 0 0 1418 4 31302 6608 2499 0 1 0419 3 36092 7310 2681 1 0 0

420 2 35973 8015 3806 0 0 0421 1 36041 7643 3866 0 0 0422 4 35219 7435 4877 0 0 0423 2 36220 7015 3325 1 0 0424 2 31788 5795 3465 1 1 0425 2 37332 7227 2711 1 1 0426 4 35137 8002 4478 1 0 1427 2 31107 6463 2775 1 1 1428 2 32168 7155 2607 0 1 0429 4 37834 8496 3131 1 0 0430 2 34430 6617 3210 0 1 0431 3 32884 5790 3065 0 0 0432 3 35170 6940 3798 0 0 0433 2 35013 7018 2984 1 0 0434 3 35239 7269 3093 1 0 0435 2 36967 6923 3977 0 0 1436 3 33158 6954 3779 0 0 0437 2 31346 6777 3873 1 1 0438 5 32996 6857 3148 1 0 0439 2 35536 6968 3076 0 1 0440 4 37812 8395 3838 1 0 1441 4 32565 6584 2747 0 1 0442 3 37418 8168 4462 1 0 0443 2 34191 7394 3740 1 0 0444 2 35256 6663 2270 0 0 0445 4 32911 6489 2377 1 1 0446 1 31182 5745 3712 0 1 0447 4 31499 6518 2337 1 1 0448 1 35882 7850 5203 1 1 0449 1 33021 6667 2826 1 0 0450 2 34427 6733 4004 1 1 0451 1 37830 7884 3520 0 1 0452 2 36598 7134 2992 1 1 0453 4 37603 8165 3705 1 0 0454 5 37282 7210 4142 1 0 0455 3 34325 6820 3114 0 0 0456 1 37111 8022 3305 1 1 0457 3 34339 6270 3030 1 0 0458 3 37331 7900 3437 1 0 0459 1 34692 6872 2354 1 0 0460 4 37582 8153 4292 0 1 1461 4 34994 7101 3827 1 0 0

462 2 30898 6550 3184 1 0 0463 3 36629 7710 3583 0 1 0464 3 34655 6678 3488 0 0 0465 2 36351 7127 2796 0 0 0466 2 33676 7700 3452 0 0 0467 3 36373 6704 3927 1 1 0468 2 37795 7834 3422 1 1 0469 1 37123 7371 2504 1 0 0470 4 33315 6603 3185 1 1 0471 1 37608 8531 3331 1 1 0472 3 36802 7048 3886 1 0 1473 4 36768 8134 3269 1 0 0474 4 36744 7128 2917 0 0 0475 3 35351 6913 3060 0 0 0476 3 34568 7517 3800 1 0 0477 2 32935 6203 3030 1 1 0478 4 30583 6538 3675 0 1 0479 2 36135 7180 3274 1 0 0480 4 31105 6421 2419 1 0 0481 1 37065 7902 4376 1 0 0482 3 36407 7179 3953 1 1 0483 4 31315 6359 4093 1 0 0484 2 37800 8211 4492 1 1 0485 3 35587 7523 3434 0 0 0486 2 34214 7407 3641 1 0 0487 3 36495 7217 3932 0 0 0488 4 35210 7318 3580 0 0 0489 3 37251 7510 3386 0 1 0490 1 32885 7229 3774 1 0 0491 3 30070 5950 3272 1 0 0492 3 36799 7697 3782 1 0 0493 3 34670 7412 3659 1 0 0494 4 37307 7833 3169 1 1 0495 5 35275 6891 3624 1 1 0496 3 36645 7755 3948 1 1 0497 3 37678 7646 2769 1 1 0498 2 31135 6106 2678 1 0 0499 2 37811 8110 4714 1 0 1500 3 35108 6718 2443 1 0 0501 5 36880 6829 3584 0 1 0502 2 36794 8080 3637 1 0 0503 3 37641 7376 4504 1 0 0

504 2 37409 8609 2867 0 1 1505 4 35460 7374 3445 0 0 0506 1 37679 6568 3158 1 1 0507 2 37044 7909 3389 1 0 0508 5 35643 6384 3628 0 0 0509 3 35712 7015 3438 1 1 1510 5 31437 5357 3721 1 0 1511 3 35511 6978 3000 0 1 1512 3 35792 7874 4514 0 0 0513 2 35491 6823 3845 1 1 0514 2 36854 7854 3857 1 1 0515 3 34827 7512 2920 0 1 1516 2 34261 7071 3672 0 1 0517 4 35628 7152 3774 0 0 0

M ENCUESTA DE HOGARES1 MUESTRA FORMADA POR 1500 UNIDADES FAMILIARES11111111223333444445666777777888889999

1010

NID: NÚMERO DE ORDEN

PE: NÚMERO DE PERSONAS EN LA FAMILIA

ING: INGRESOS FAMILIARES ANUALES

AL: GASTOS DE ALIMENTACIÓN ANUALES

AD: GASTOS ADICIONALES ANUALES

V: VIVIENDA PROPIA. SÍ:1, NO:0

A: TIENE AUTOMOVIL. SÍ:1, NO:0

O: TIENE COMPUTADOR PERSONAL. SÍ:1, NO:0

M: MUNICIPIO. VALORES DE 1 A 100

101011111111121212121212121213131313131313131414141414151515151616161616161616171818

181818181919191919192020212121212121212122222222232323232424242424252525252525262627

272727272828282828292929292929293030303030313131313131313132323232323333333333343434

343434353536363636363737373737373738383838383939393939394040404142424242424243434343

434445454646464647474848484849494949494949494949494949495050505051515151525252525252

535353545454545454545555555555555555555656565657575757575757585858595960606060616161

616161616161616162626262626363636363646464646465656566666666666767676767676868686868

696969696970707070707070707070707171727273737373737373737374747475757575757575757575

757676767676767676767777777778787878787979797979797979808080808081818181828282828282

828282828383838484848484848485858585858585858686868686878787878788888888888888888990

909090919191919191919191919191929393939393949494949494959696969696979797979797979798

9999999999

100100100100100100100100100


PE PE fi Fi ni% Ni%3 1 92 92 17.79% 17.79%3 2 123 215 23.79% 41.59%1 3 150 365 29.01% 70.60%3 4 99 464 19.15% 89.75%3 5 49 513 9.48% 99.23%2 6 4 517 0.77% 100.00%2 Total 517 100.00%53 Media 2.810444873 Mediana 33 Moda 34 Varianza 1.554010832 Desviasion estandar 1.246599712343311431231453322511141534

1 2 3 4 5 60

20

40

60

80

100

120

140

160

Numero de personas en la familia Estrato 1

Numero de personas en la familia

Frec

uenc

ia

344133543323233252124145514425324332153151

441411221165431412445113131356244321532132

343122311412322211441355331124453443421314

214353433154412312531143315232222334452451

313432222234332551323243324445322234244334

531212635242341344335323242135453134344541

324516125242435423312242153324222233333232

211421335152243242113323314335345311534113

211223242313133413313334542221231122334343

214222422423323232524432241411212453133144

233223214134433242413423234313334533223523

24125353322324

ING N 517 Ref Li Ls36991 Maximo 37997 1 0 30052 3039831259 Minimo 30052 2 0 30398 3074434246 Amplitud 7945 3 0 30744 3109033274 Numero de clases 23 4 0 31090 3143634115 Rango de la clase 346 5 0 31436 3178234306 N/2 258.5 6 0 31782 3212836945 Li N/2 35242 7 0 32128 3247435899 fi N/2 34 8 0 32474 3282037580 fi-1 N/2 35 9 0 32820 3316632242 fi+1 N/2 24 10 0 33166 3351236557 Fi-1 N/2 238 11 0 33512 3385837272 Media 35062.307544 12 0 33858 3420436197 Mediana 35450.617647 13 0 34204 3455035837 Moda 35203.555556 14 0 34550 3489635255 Varianza 4530175.3735 15 0 34896 3524232676 Desviación estandar 2128.4208638 16 1 35242 3558837453 17 0 35588 3593433620 18 0 35934 3628030488 19 0 36280 3662637015 20 0 36626 3697231051 21 0 36972 3731831980 22 0 37318 3766435944 23 0 37664 3801033781 Total3637230146368603792335571349803274231778361933522835118351663630236440347053536034567

1 2 3 4 5 60

20

40

60

80

100

120

140

160



Frec

uenc

ia

(30052-30398]

(30398-30744]

(30744-31090]

(31090-31436]

(31436-31782]

(31782-32128]

(32128-32474]

(32474-32820]

(32820-33166]

(33166-33512]

(33512-33858]

(33858-34204]

(34204-34550]

(34550-34896]

(34896-35242]

(35242-35588]

(35588-35934]

(35934-36280]

(36280-36626]

(36626-36972]

(36972-37318]

(37318-37664]

(37664-38010]0

5

10

15

20

25

30

35

40

45

50

Ingresos familiares anuales Estrato 1

Clases de ingresos familiares anuales

Frec

uenc

ia

309193641636127348503679436791326873786736176316323675732305343273311935562375713483233757379643161130458355073377432941375363440332990361983706432121360703658234173379943721235229366083633635889350203199135441

(30052-30398]

(30398-30744]

(30744-31090]

(31090-31436]

(31436-31782]

(31782-32128]

(32128-32474]

(32474-32820]

(32820-33166]

(33166-33512]

(33512-33858]

(33858-34204]

(34204-34550]

(34550-34896]

(34896-35242]

(35242-35588]

(35588-35934]

(35934-36280]

(36280-36626]

(36626-36972]

(36972-37318]

(37318-37664]

(37664-38010]0

5

10

15

20

25

30

35

40

45

50



Frec

uenc

ia

378903678533072366773069431376306613517837852364123418335551348003260536262338203420935957355993132436638305063261234461332623627332834340233623934239364193547835852368453735834963378823272836555361273632936554

312573644336619341683705637717353063788737910336323724533055344883562834777331143206535739336313065433726364063169536659355563698537929360583701331089376653786234296353053752132065364853613835271327303762535201

353013047536344367983311437847339843680136783342383324335732349413478336336312493329634604327033005231143374723787930906362293740832662355123780137749361603677436730315763750631644372203740633860311383424837763

366363648334968356403620835257345203352330983372913466930928321563650331802353623023134227318253056437537340633755637580340173506035121336613664734236369483720735527343133641337018312963555536952367353374137379

365993499336015316153570230518303573788237825364383400834084371733569734784314493516436162374303494333901352993592433720309043154435553360463638637600334783683230999313313600537807372613204237570329473303234237

379023111637997360643607336133347913608234927331603789636449344813736335069355953726736060314743453937080356883348436833342873127335410359503634134215352983507137583306153705631688361813667130547379503160437932

351703278937364350913727437443318113769834870333573578935639330853061237172341663550737969364073456331532350653269935559360263438737215343063282437433361223321636998311593590637326346543402935055368183714637969

374093542233706343393455835006355963686435545377773046537901364103252534045304063679037719376023583935029364963792636938376703661736745312203398736215349223751836068375493797434936325023664434302339473130236092

359733604135219362203178837332351373110732168378343443032884351703501335239369673315831346329963553637812325653741834191352563291131182314993588233021344273783036598376033728234325371113433937331346923758234994

308983662934655363513367636373377953712333315376083680236768367443535134568329353058336135311053706536407313153780035587342143649535210372513288530070367993467037307352753664537678311353781135108368803679437641

3740935460376793704435643357123143735511357923549136854348273426135628

Clases Marca de clase fi Fi Fi-1 fi+1 fi-1 Marca de clase * fi(30052-30398] 30225 5 5 15 151125(30398-30744] 30571 15 20 5 9 5 458565(30744-31090] 30917 9 29 20 20 15 278253(31090-31436] 31263 20 49 29 15 9 625260(31436-31782] 31609 15 64 49 10 20 474135(31782-32128] 31955 10 74 64 4 15 319550(32128-32474] 32301 4 78 74 14 10 129204(32474-32820] 32647 14 92 78 20 4 457058(32820-33166] 32993 20 112 92 9 14 659860(33166-33512] 33339 9 121 112 14 20 300051(33512-33858] 33685 14 135 121 18 9 471590(33858-34204] 34031 18 153 135 30 14 612558(34204-34550] 34377 30 183 153 20 18 1031310(34550-34896] 34723 20 203 183 35 30 694460(34896-35242] 35069 35 238 203 34 20 1227415(35242-35588] 35415 34 272 238 24 35 1204110(35588-35934] 35761 24 296 272 37 34 858264(35934-36280] 36107 37 333 296 36 24 1335959(36280-36626] 36453 36 369 333 39 37 1312308(36626-36972] 36799 39 408 369 30 36 1435161(36972-37318] 37145 30 438 408 36 39 1114350(37318-37664] 37491 36 474 438 43 30 1349676(37664-38010] 37837 43 517 474 36 1626991

Total 517 18127213

(30052-30398]

(30398-30744]

(30744-31090]

(31090-31436]

(31436-31782]

(31782-32128]

(32128-32474]

(32474-32820]

(32820-33166]

(33166-33512]

(33512-33858]

(33858-34204]

(34204-34550]

(34550-34896]

(34896-35242]

(35242-35588]

(35588-35934]

(35934-36280]

(36280-36626]

(36626-36972]

(36972-37318]

(37318-37664]

(37664-38010]0

5

10

15

20

25

30

35

40

45

50



Frec

uenc

ia

(30052-30398]

(30398-30744]

(30744-31090]

(31090-31436]

(31436-31782]

(31782-32128]

(32128-32474]

(32474-32820]

(32820-33166]

(33166-33512]

(33512-33858]

(33858-34204]

(34204-34550]

(34550-34896]

(34896-35242]

(35242-35588]

(35588-35934]

(35934-36280]

(36280-36626]

(36626-36972]

(36972-37318]

(37318-37664]

(37664-38010]0

5

10

15

20

25

30

35

40

45

50



Frec

uenc

ia

(marca de la clase -media)^2 (Xi-~X)^2*fi AL N23399544.2705985 116997721.35 7587 Maximo20171843.4504824 302577651.76 6372 Minimo17183574.6303664 154652171.67 6871 Amplitud14434737.8102503 288694756.21 6507 Numero de clases11925332.9901343 178879994.85 6240 Rango de la clase

9655360.1700182 96553601.7 7403 N/27624819.34990215 30499277.4 7396 Li N/2

5833710.5297861 81671947.417 7677 fi N/24282033.70967004 85640674.193 7736 fi-1 N/22969788.88955399 26728100.006 6224 fi+1 N/21896976.06943794 26557664.972 7455 Fi-1 N/21063595.24932189 19144714.488 7535 Media469646.429205837 14089392.876 6961 Mediana115129.609089785 2302592.1818 8486 Moda44.7889737325935 1567.6140806 7383 Varianza124391.968857681 4229326.9412 6409 Desviación estandar488171.148741629 11716107.57 76611091382.32862558 40381146.159 60741934025.50850952 69624918.306 63993016100.68839347 117627926.85 74364337607.86827742 130128236 67395898547.04816137 212347693.73 66557698918.22804532 331053483.81 7870

2342100668 697978055547671188825826769350456384800566067539718283227462665767297088

(30052-30398]

(30398-30744]

(30744-31090]

(31090-31436]

(31436-31782]

(31782-32128]

(32128-32474]

(32474-32820]

(32820-33166]

(33166-33512]

(33512-33858]

(33858-34204]

(34204-34550]

(34550-34896]

(34896-35242]

(35242-35588]

(35588-35934]

(35934-36280]

(36280-36626]

(36626-36972]

(36972-37318]

(37318-37664]

(37664-38010]0

5

10

15

20

25

30

35

40

45

50



Frec

uenc

ia

(5045-5221]

(5221-5397]

(5397-5573]

(5573-5749]

(5749-5925]

(5925-6101]

(6101-6277]

(6277-6453]

(6453-6629]

(6629-6805]

(6805-6981]

(6981-7157]

(7157-7333]

(7333-7509]

(7509-7685]

(7685-7861]

(7861-8037]

(8037-8213]

(8213-8389]

(8389-8565]

(8565-8741]

(8741-8917]

(8917-9093]

0

10

20

30

40

50

60

Gatos de alimentación anual Estrato 1

Rangos de Gastos de alimentación anual

Frec

uenc

ia

667771097646771362997476635786527990594376955190686367657419865976086005752162506422776266076715680278846262761279456463795563996934736567385867674473057577700867037314

(30052-30398]

(30398-30744]

(30744-31090]

(31090-31436]

(31436-31782]

(31782-32128]

(32128-32474]

(32474-32820]

(32820-33166]

(33166-33512]

(33512-33858]

(33858-34204]

(34204-34550]

(34550-34896]

(34896-35242]

(35242-35588]

(35588-35934]

(35934-36280]

(36280-36626]

(36626-36972]

(36972-37318]

(37318-37664]

(37664-38010]0

5

10

15

20

25

30

35

40

45

50



Frec

uenc

ia

(5045-5221]

(5221-5397]

(5397-5573]

(5573-5749]

(5749-5925]

(5925-6101]

(6101-6277]

(6277-6453]

(6453-6629]

(6629-6805]

(6805-6981]

(6981-7157]

(7157-7333]

(7333-7509]

(7509-7685]

(7685-7861]

(7861-8037]

(8037-8213]

(8213-8389]

(8389-8565]

(8565-8741]

(8741-8917]

(8917-9093]

0

10

20

30

40

50

60



Frec

uenc

ia

857768897014687760025779608975926365753477056982724357556636618067126808741570087447661768147579712074536119633875797278779771847329728581586256793265117376742273586957

616373857726606974747378719680187911713172116109733777327569731857097066661467266691789770226519646980218366764676026495759269367409660379146304698570167903666069256565

650366748300721068797138651775057943695474058140699771856728659360947579786054825896745575756089686978516168717877767358672283106675725175706557889668217313721174798242

683383097760708073267866696968555989753575436040631473787306622271746664602261077560732981838173699369867143621880876843721782857184730974477466620365597386763369757087

815970028118614273055534729890927854751564086352803366687441734376936995725569706764647472097209606270837823771372647080661388206688613076148236663371417630721670947510

773766227797753571507090773083727749623178646897619685097382691081796745667367258142707360117024732859087586673372247755813073797541674879165763701465185929784563067951

786864916480658282667977733872007365671577798023761354347960672478037737696565886040657866527864705366127485575066026628679670026600539273067365613876856960838080457958

620471706576715273578208830672467406797363347274797465577550672481557333829973136214657881568028715369167184637862717280724379677877763375646449694671097381690666087310

801576437435701557957227800264637155849666175790694070187269692369546777685769688395658481687394666364895745651878506667673378847134816572106820802262707900687281537101

655077106678712777006704783473716603853170488134712869137517620365387180642179027179635982117523740772177318751072295950769774127833689177557646610681106718682980807376

86097374656879096384701553576978787468237854751270717152

517 Ref Li Ls Clases Marca de clase fi Fi Fi-1 fi+1 fi-19092 1 0 5045 5221 (5045-5221] 5133 2 2 25045 2 0 5221 5397 (5221-5397] 5309 2 4 2 4 24047 3 0 5397 5573 (5397-5573] 5485 4 8 4 2 2

23 4 0 5573 5749 (5573-5749] 5661 2 10 8 10 4176 5 0 5749 5925 (5749-5925] 5837 10 20 10 16 2

258.5 6 0 5925 6101 (5925-6101] 6013 16 36 20 25 107157 7 0 6101 6277 (6101-6277] 6189 25 61 36 21 16

52 8 0 6277 6453 (6277-6453] 6365 21 82 61 43 2546 9 0 6453 6629 (6453-6629] 6541 43 125 82 43 2147 10 0 6629 6805 (6629-6805] 6717 43 168 125 41 43

255 11 0 6805 6981 (6805-6981] 6893 41 209 168 46 437141.85106 12 0 6981 7157 (6981-7157] 7069 46 255 209 52 417168.84615 13 1 7157 7333 (7157-7333] 7245 52 307 255 47 46

7253 14 0 7333 7509 (7333-7509] 7421 47 354 307 43 52480961.999 15 0 7509 7685 (7509-7685] 7597 43 397 354 35 47693.514239 16 0 7685 7861 (7685-7861] 7773 35 432 397 38 43

17 0 7861 8037 (7861-8037] 7949 38 470 432 21 3518 0 8037 8213 (8037-8213] 8125 21 491 470 13 3819 0 8213 8389 (8213-8389] 8301 13 504 491 5 2120 0 8389 8565 (8389-8565] 8477 5 509 504 4 1321 0 8565 8741 (8565-8741] 8653 4 513 509 3 522 0 8741 8917 (8741-8917] 8829 3 516 513 1 423 0 8917 9093 (8917-9093] 9005 1 517 516 3

Total 517

(5045-5221]

(5221-5397]

(5397-5573]

(5573-5749]

(5749-5925]

(5925-6101]

(6101-6277]

(6277-6453]

(6453-6629]

(6629-6805]

(6805-6981]

(6981-7157]

(7157-7333]

(7333-7509]

(7509-7685]

(7685-7861]

(7861-8037]

(8037-8213]

(8213-8389]

(8389-8565]

(8565-8741]

(8741-8917]

(8917-9093]

0

10

20

30

40

50

60



Frec

uenc

ia

(5045-5221]

(5221-5397]

(5397-5573]

(5573-5749]

(5749-5925]

(5925-6101]

(6101-6277]

(6277-6453]

(6453-6629]

(6629-6805]

(6805-6981]

(6981-7157]

(7157-7333]

(7333-7509]

(7509-7685]

(7685-7861]

(7861-8037]

(8037-8213]

(8213-8389]

(8389-8565]

(8565-8741]

(8741-8917]

(8917-9093]

0

10

20

30

40

50

60



Frec

uenc

ia

Marca de clase * fi (marca de la clase -media)^2 (Xi-~X)^2*fi AD10266 4035482.59665007 8070965.19 422310618 3359343.02218198 6718686.04 290621940 2745155.4477139 10980621.8 514511322 2192919.87324581 4385839.75 333558370 1702636.29877773 17026363 324396208 1274304.72430964 20388875.6 3192

154725 907925.149841558 22698128.7 4027133665 603497.575373473 12673449.1 2817281263 361022.000905387 15523946 4491288831 180498.426437302 7761432.34 3258282613 61926.851969217 2539000.93 3061325174 5307.27750113178 244134.765 3272376740 10639.7030330466 553264.558 3100348787 77924.1285649613 3662434.04 3485326671 207160.554096876 8907903.83 3037272055 398348.979628791 13942214.3 3532302062 651489.405160706 24756597.4 4324170625 966581.830692621 20298218.4 3178107913 1343626.25622454 17467141.3 3056

42385 1782622.68175645 8913113.41 325234612 2283571.10728837 9134284.43 343026487 2846471.53282028 8539414.6 3308

9005 3471323.95835219 3471323.96 36453692337 248657354 3163

35532634482441763578455629122763367236842563443946573184380336383830

(5045-5221]

(5221-5397]

(5397-5573]

(5573-5749]

(5749-5925]

(5925-6101]

(6101-6277]

(6277-6453]

(6453-6629]

(6629-6805]

(6805-6981]

(6981-7157]

(7157-7333]

(7333-7509]

(7509-7685]

(7685-7861]

(7861-8037]

(8037-8213]

(8213-8389]

(8389-8565]

(8565-8741]

(8741-8917]

(8917-9093]

0

10

20

30

40

50

60



Frec

uenc

ia

251638063575405535302944268138703679219443553239327328363060371328373761322529852637402933013134380739143069442229193676400829973540344233993730312837553933359431393259

(5045-5221]

(5221-5397]

(5397-5573]

(5573-5749]

(5749-5925]

(5925-6101]

(6101-6277]

(6277-6453]

(6453-6629]

(6629-6805]

(6805-6981]

(6981-7157]

(7157-7333]

(7333-7509]

(7509-7685]

(7685-7861]

(7861-8037]

(8037-8213]

(8213-8389]

(8389-8565]

(8565-8741]

(8741-8917]

(8917-9093]

0

10

20

30

40

50

60



Frec

uenc

ia

420531753152325123992986225932724703314537973757382032043140403731973000350229884592289731694115310642073764402341813121446038233933408629783595386228053158374841243992

346439003117306930253619389738703655229535612927268737133588305628323417418932183226400142283963316245732673316435162848432341482770325130773730357525064097311529574075

284423503826346033424218298631714241289132324073316237553979319136993168311527283745283231563623366739623043316436953573312338974123311238803276409541473587335934143605

384735183800333044433896408537633478308232432413271646333089339632954254359528544758373142083356334937763177325042702862359343454193268839603672289235654468373329443504

374937263946306637123723277239214119316133764633331530754278306139783567350438113244287340472379279631113814410244154239361135223300354642574587362925934152340440532788

352637533484221143503369373636583879383935183145386237923981388437424249331525513819381942414252342537833594443744052116405237203538345031812655453030232997306524504909

318433903286372437074052217440893129334225413259381433864071372230543946315035433328319334683681389539293702392534753772380641783844289341733752385045203199336641614397

282732474122321737143475290933903432448232713680392135073288252034873260353637353954387551043427426336753736299631163903367047512545421744873934300336112491317524992681

380638664877332534652711447827752607313132103065379829843093397737793873314830763838274744623740227023773712233752032826400435202992370541423114330530303437235442923827

318435833488279634523927342225043185333138863269291730603800303036753274241943763953409344923434364139323580338637743272378236593169362439482769267847142443358436374504

28673445315833893628343837213000451438453857292036723774

N 517 Ref Li Ls Clases Marca de clase fi FiMaximo 5203 1 0 2116 2251 (2116-2251] 2183.5 4 4Minimo 2116 2 0 2251 2386 (2251-2386] 2318.5 8 12Amplitud 3087 3 0 2386 2521 (2386-2521] 2453.5 11 23Numero de clases 23 4 0 2521 2656 (2521-2656] 2588.5 9 32Rango de la clase 135 5 0 2656 2791 (2656-2791] 2723.5 16 48N/2 258.5 6 0 2791 2926 (2791-2926] 2858.5 26 74Li N/2 3466 7 0 2926 3061 (2926-3061] 2993.5 30 104fi N/2 43 8 0 3061 3196 (3061-3196] 3128.5 58 162fi-1 N/2 34 9 0 3196 3331 (3196-3331] 3263.5 43 205fi+1 N/2 50 10 0 3331 3466 (3331-3466] 3398.5 34 239Fi-1 N/2 239 11 1 3466 3601 (3466-3601] 3533.5 43 282Media 3516.26596 12 0 3601 3736 (3601-3736] 3668.5 50 332Mediana 3527.22093 13 0 3736 3871 (3736-3871] 3803.5 52 384Moda 4073.5 14 0 3871 4006 (3871-4006] 3938.5 37 421Varianza 316613.529 15 0 4006 4141 (4006-4141] 4073.5 25 446Desviación estandar 562.684218 16 0 4141 4276 (4141-4276] 4208.5 27 473

17 0 4276 4411 (4276-4411] 4343.5 10 48318 0 4411 4546 (4411-4546] 4478.5 17 50019 0 4546 4681 (4546-4681] 4613.5 7 50720 0 4681 4816 (4681-4816] 4748.5 4 51121 0 4816 4951 (4816-4951] 4883.5 3 51422 0 4951 5086 (4951-5086] 5018.5 0 51423 0 5086 5221 (5086-5221] 5153.5 3 517

Total 517

(2116-2251]

(2251-2386]

(2386-2521]

(2521-2656]

(2656-2791]

(2791-2926]

(2926-3061]

(3061-3196]

(3196-3331]

(3331-3466]

(3466-3601]

(3601-3736]

(3736-3871]

(3871-4006]

(4006-4141]

(4141-4276]

(4276-4411]

(4411-4546]

(4546-4681]

(4681-4816]

(4816-4951]

(4951-5086]

(5086-5221]

0

10

20

30

40

50

60

70

Gastos adicionales anuales Estrato 1

Rango de Gastos adicionales anuales

Frec

uenc

ia

(2116-2251]

(2251-2386]

(2386-2521]

(2521-2656]

(2656-2791]

(2791-2926]

(2926-3061]

(3061-3196]

(3196-3331]

(3331-3466]

(3466-3601]

(3601-3736]

(3736-3871]

(3871-4006]

(4006-4141]

(4141-4276]

(4276-4411]

(4411-4546]

(4546-4681]

(4681-4816]

(4816-4951]

(4951-5086]

(5086-5221]

0

10

20

30

40

50

60

70



Frec

uenc

ia

Fi-1 fi+1 fi-1 Marca de clase * fi (marca de la clase -media)^2 (Xi-~X)^2*fi8 8734 1776265.09732911 7105060.3893

4 11 4 18548 1434643.28881847 11477146.31112 9 8 26988.5 1129471.48030783 12424186.28323 16 11 23296.5 860749.671797193 7746747.046232 26 9 43576 628477.863286555 10055645.81348 30 16 74321 432656.054775917 11249057.42474 58 26 89805 273284.246265278 8198527.388

104 43 30 181453 150362.43775464 8721021.3898162 34 58 140330.5 63890.6292440018 2747297.0575205 43 43 115549 13868.8207333635 471539.90493239 50 34 151940.5 297.012222725217 12771.525577282 52 43 183425 23175.2037120869 1158760.1856332 37 50 197782 82503.3952014487 4290176.5505384 25 52 145724.5 178281.58669081 6596418.7076421 27 37 101837.5 310509.778180172 7762744.4545446 10 25 113629.5 479187.969669534 12938075.181473 17 27 43435 684316.161158896 6843161.6116483 7 10 76134.5 925894.352648257 15740204500 4 17 32294.5 1203922.54413762 8427457.809507 3 7 18994 1518400.73562698 6073602.9425511 0 4 14650.5 1869328.92711634 5607986.7813514 3 3 0 2256707.1186057 0514 0 15460.5 2680535.31009507 8041605.9303

1817909.5 163689194.68

(2116-2251]

(2251-2386]

(2386-2521]

(2521-2656]

(2656-2791]

(2791-2926]

(2926-3061]

(3061-3196]

(3196-3331]

(3331-3466]

(3466-3601]

(3601-3736]

(3736-3871]

(3871-4006]

(4006-4141]

(4141-4276]

(4276-4411]

(4411-4546]

(4546-4681]

(4681-4816]

(4816-4951]

(4951-5086]

(5086-5221]

0

10

20

30

40

50

60

70



Frec

uenc

ia

(2116-2251]

(2251-2386]

(2386-2521]

(2521-2656]

(2656-2791]

(2791-2926]

(2926-3061]

(3061-3196]

(3196-3331]

(3331-3466]

(3466-3601]

(3601-3736]

(3736-3871]

(3871-4006]

(4006-4141]

(4141-4276]

(4276-4411]

(4411-4546]

(4546-4681]

(4681-4816]

(4816-4951]

(4951-5086]

(5086-5221]

0

10

20

30

40

50

60

70



Frec

uenc

ia

V Vivienda V fi Fi ni% Ni%1 No 0 207 207 40% 40%1 Si 1 310 517 60% 100%1 Total 517 100%111110 Media 0.59961315280 Mediana 11 Moda 11 Varianza 0.24007721981 Desviasion estandar 0.48997675431111111001101001110011110100

40%

60%

Vivienda propia Estrato 1

No Si

111110101100100110011010100111101000110000

111101010101110110010011101110011001110001

000101010001101001110000001110111110110111

110011011010101100010100001110001101110101

110110000111110010100001000110111010111111

101101100000011101011110100110010011100101

001111110111110100111001001111111000101101

101111000101111110111101101111111011111001

111101101010110110011110001001001111100001

000111110100011001101011010111101110111101

100001111111001101111110100011111111111011

00110110011000

A Automóvil A fi Fi ni%0 No 0 309 309 59.77%0 Si 1 208 517 40.23%0 Total 517 100%001101 Media 0.40232108320 Mediana 01 Moda 00 Varianza 0.24045882920 Desviasion estandar 0.49036601561101101000001000000000000100

40%

60%


No Si

59.77%

40.23%

Automóvil propio Estrato 1

No Si

100010000101110010011000101111100011011100

000010011110010000110000001110101001010000

011010010001111100000100100000010110001110

000100000000001101010111011110101011011101

011000000010100111000001100011100010011110

111101000111011010101101001110001101100001

010010101100100010011000000100100110110010

001100010001111000001000000000011001000000

001001010011100011110110000101100100001010

000011011010000001010100011110111000100010

010001101100000110001010000100001111000100

10100101011110

Ni% O59.77% 0

100.00% 0100000000000000000100000000000000000000

59.77%

40.23%


No Si

000000100010000010110000000100000010010000

000010000000000000000000000000000000000000

000011000000000000000000000000000000000000

000100000000000000000000000001000000000000

100000010000000000000000000000000000000001

010000000000000001000100010000100000001000

100001000000000100100000001000000100000101

000000000000000000000000000000000000000010

000010000000000000100010011000000000000100

000000110000000100001000000000000000000010

000000000010000000000000000000000000010000

10000111000100

Computador personal A fi Fi ni% Ni%No 0 466 466 90.14% 90.14%

Si 1 51 517 9.86% 100.00%Total 517 100%

Media 0.09864603Mediana 0Moda 0Varianza 0.08891499Desviasion estandar 0.29818617

90.14%

9.86%

Computador personal propio Estrato 1

No Si

M Municipio fi Fi ni%1 1 9 9 1.74%1 2 2 11 0.39%1 3 4 15 0.77%1 4 5 20 0.97%1 5 1 21 0.19%1 6 3 24 0.58%1 7 6 30 1.16%1 8 5 35 0.97%1 9 4 39 0.77%2 10 4 43 0.77%2 11 4 47 0.77%3 12 8 55 1.55%3 13 8 63 1.55%3 14 5 68 0.97%3 15 4 72 0.77%4 16 8 80 1.55%4 17 1 81 0.19%4 18 6 87 1.16%4 19 6 93 1.16%4 20 2 95 0.39%5 21 8 103 1.55%6 22 4 107 0.77%6 23 4 111 0.77%6 24 5 116 0.97%7 25 6 122 1.16%7 26 2 124 0.39%7 27 5 129 0.97%7 28 5 134 0.97%7 29 7 141 1.35%7 30 5 146 0.97%8 31 8 154 1.55%8 32 5 159 0.97%8 33 5 164 0.97%8 34 6 170 1.16%8 35 2 172 0.39%9 36 5 177 0.97%9 37 7 184 1.35%9 38 5 189 0.97%9 39 6 195 1.16%

10 40 3 198 0.58%10 41 1 199 0.19%

90.14%

9.86%


No Si

10 42 6 205 1.16%10 43 5 210 0.97%11 44 1 211 0.19%11 45 2 213 0.39%11 46 4 217 0.77%11 47 2 219 0.39%12 48 4 223 0.77%12 49 14 237 2.71%12 50 4 241 0.77%12 51 4 245 0.77%12 52 6 251 1.16%12 53 3 254 0.58%12 54 7 261 1.35%12 55 9 270 1.74%13 56 4 274 0.77%13 57 7 281 1.35%13 58 3 284 0.58%13 59 2 286 0.39%13 60 4 290 0.77%13 61 11 301 2.13%13 62 5 306 0.97%13 63 5 311 0.97%14 64 5 316 0.97%14 65 3 319 0.58%14 66 5 324 0.97%14 67 6 330 1.16%14 68 5 335 0.97%15 69 5 340 0.97%15 70 11 351 2.13%15 71 2 353 0.39%15 72 2 355 0.39%16 73 9 364 1.74%16 74 3 367 0.58%16 75 11 378 2.13%16 76 9 387 1.74%16 77 4 391 0.77%16 78 5 396 0.97%16 79 8 404 1.55%16 80 5 409 0.97%17 81 4 413 0.77%18 82 10 423 1.93%18 83 3 426 0.58%

18 84 7 433 1.35%18 85 8 441 1.55%18 86 5 446 0.97%18 87 5 451 0.97%19 88 8 459 1.55%19 89 1 460 0.19%19 90 4 464 0.77%19 91 12 476 2.32%19 92 1 477 0.19%19 93 5 482 0.97%20 94 6 488 1.16%20 95 1 489 0.19%21 96 5 494 0.97%21 97 8 502 1.55%21 98 1 503 0.19%21 99 5 508 0.97%21 100 9 517 1.74%21 Total 517 100.00%212122222222232323232424242424252525252525262627

272727272828282828292929292929293030303030313131313131313132323232323333333333343434

343434353536363636363737373737373738383838383939393939394040404142424242424243434343

434445454646464647474848484849494949494949494949494949495050505051515151525252525252

535353545454545454545555555555555555555656565657575757575757585858595960606060616161

616161616161616162626262626363636363646464646465656566666666666767676767676868686868

696969696970707070707070707070707171727273737373737373737374747475757575757575757575

757676767676767676767777777778787878787979797979797979808080808081818181828282828282

828282828383838484848484848485858585858585858686868686878787878788888888888888888990

909090919191919191919191919191929393939393949494949494959696969696979797979797979798

9999999999

100100100100100100100100100

Ni%1.74%2.13%2.90%3.87%4.06%4.64%5.80%6.77%7.54%8.32%9.09%

10.64%12.19%13.15%13.93%15.47%15.67%16.83%17.99%18.38%19.92%20.70%21.47%22.44%23.60%23.98%24.95%25.92%27.27%28.24%29.79%30.75%31.72%32.88%33.27%34.24%35.59%36.56%37.72%38.30%38.49%

1 6 11 16 21 26 31 36 41 46 51 56 61 66 71 76 81 86 91 96

0.00%

0.50%

1.00%

1.50%

2.00%

2.50%

3.00%

Municipios encuestados estrato 1

Municipios

Porc

enta

je

39.65%40.62%40.81%41.20%41.97%42.36%43.13%45.84%46.62%47.39%48.55%49.13%50.48%52.22%53.00%54.35%54.93%55.32%56.09%58.22%59.19%60.15%61.12%61.70%62.67%63.83%64.80%65.76%67.89%68.28%68.67%70.41%70.99%73.11%74.85%75.63%76.60%78.14%79.11%79.88%81.82%82.40%

83.75%85.30%86.27%87.23%88.78%88.97%89.75%92.07%92.26%93.23%94.39%94.58%95.55%97.10%97.29%98.26%

100.00%

NID PE ING AL AD V A O

1 5 41739 7490 3840 1 1 02 2 43480 9205 3624 0 1 03 4 43698 9789 4377 0 1 04 3 42086 8767 5219 1 0 05 3 40847 7783 3723 1 1 06 3 42546 8181 5137 0 1 07 2 40902 8209 3749 1 1 08 3 41463 8675 4532 1 0 09 3 39982 8895 2814 1 1 0

10 4 41524 10694 4122 1 0 011 2 40026 7691 3284 0 0 012 3 38400 7797 4014 0 0 013 3 43282 8483 3591 1 0 014 1 40422 7734 4550 1 1 015 1 42784 8246 4283 1 0 016 2 42952 8056 4595 0 0 017 3 38553 8162 3491 1 1 018 4 41672 7656 3879 0 0 019 3 38256 7781 3778 1 0 020 3 40063 8812 3914 0 0 021 3 43854 10318 3739 0 0 022 2 43094 9857 4701 1 1 023 2 40326 8855 3608 1 0 024 2 39957 7512 5359 0 0 025 2 42371 8130 4209 1 1 026 5 39196 8497 4515 1 0 027 1 41680 8351 3547 0 0 028 1 39958 8243 3552 1 1 029 2 43913 8801 4684 1 0 030 2 41840 8349 5038 1 0 131 4 39905 8684 4873 0 0 032 1 39787 8181 3288 0 1 033 4 39551 7646 3782 0 0 034 2 42076 7726 4653 1 1 035 3 42393 9294 3243 1 0 036 4 40531 8460 4038 0 0 037 3 41843 9078 4157 1 0 038 4 38877 8167 3889 1 1 139 2 41818 8643 3439 1 1 040 4 43092 9577 4347 1 0 041 4 42084 8738 4480 1 0 0

42 3 41973 8854 3689 0 0 043 4 42979 8633 4670 0 1 044 5 42747 9240 4996 0 0 045 3 41282 7779 4102 1 1 046 3 41896 9201 4233 1 0 047 4 38656 7261 3758 1 1 048 2 43406 9751 4271 1 1 049 1 40915 7916 3863 0 0 050 3 42174 7621 4571 1 1 051 2 38177 7279 2812 1 0 052 4 39724 7717 3519 0 0 053 2 39387 8945 4168 1 1 054 2 43896 8687 5034 1 1 055 5 38341 7752 3420 1 0 056 3 38213 7086 4273 1 1 057 3 42491 9194 4336 0 0 158 3 39336 7265 3913 1 0 059 1 40630 7684 3853 1 1 060 4 38009 8414 2943 0 0 061 1 40624 8481 3783 0 0 062 2 42429 9808 4105 0 0 163 2 43865 10084 4690 0 0 064 2 42224 8078 4246 1 0 065 2 39465 8125 3001 1 1 066 1 43499 8710 4230 1 0 067 1 43023 8810 4119 1 0 068 1 41807 8592 3864 1 0 069 3 38248 7627 2451 0 1 070 4 43247 8196 4161 0 1 071 4 38531 7507 4435 1 0 072 3 39294 7287 3749 1 1 073 2 43486 9921 4050 1 1 074 3 41733 8231 3592 0 0 075 2 39962 7242 4576 1 1 076 3 40885 8507 2977 0 0 077 2 41855 7113 3630 1 1 078 2 42090 7904 3856 0 1 179 2 42886 7622 4527 1 0 080 3 43218 8933 3739 1 0 081 2 39265 7801 3178 1 0 082 2 38251 7879 3460 1 1 083 6 43726 7586 3571 0 0 0

84 1 40527 9329 3424 1 0 085 3 40665 7960 5061 1 1 086 2 42587 8328 4256 0 0 087 4 41246 8817 4574 0 0 088 4 39421 8554 4000 1 0 089 3 39931 8833 4287 0 0 090 2 38720 7744 3177 0 0 091 1 42823 9612 3248 0 1 092 1 38974 7732 3905 0 1 093 2 41035 8156 3975 1 0 194 3 40065 8389 3788 1 0 095 4 42070 7832 5770 0 0 096 2 39142 8043 4326 0 0 097 4 40188 8523 4964 1 0 098 1 43451 8712 4229 1 1 099 3 42600 8956 4177 1 1 0

100 2 40653 8978 4467 1 0 0101 3 43918 8392 4108 1 0 0102 4 41808 8649 3686 1 1 0103 1 39555 7037 3510 1 1 0104 3 40909 8895 4045 1 1 0105 1 39480 9076 3932 1 1 0106 2 38268 8935 4441 1 0 0107 3 42005 9338 4404 1 0 0108 3 41243 8016 4243 0 0 0109 2 40604 9541 3940 0 1 0110 2 42380 8027 4639 0 0 0111 3 42576 9677 5134 1 0 1112 4 39953 8221 3777 0 0 0113 3 40821 8941 4876 0 0 0114 1 38477 7861 3534 0 0 0115 4 39286 7912 4801 1 0 0116 3 38259 7198 4419 1 0 0117 5 40202 8280 3030 0 0 0118 4 43219 8103 3726 1 1 0119 3 43776 9857 5217 1 1 0120 2 43048 8903 4669 1 1 0121 2 43331 9138 4418 1 0 0122 3 38894 7325 2577 1 0 0123 5 38530 7931 4032 1 0 0124 3 40199 8368 4627 0 0 0125 4 41127 7661 3132 1 1 0

126 4 43164 7726 4049 0 1 0127 6 43335 9577 4593 1 0 0128 4 43199 8121 4642 1 0 0129 5 42073 8058 4230 1 0 0130 2 42861 8413 3468 0 0 0131 1 40394 7948 3985 0 1 1132 5 40359 7420 4409 0 1 0133 2 41013 8801 3988 1 0 0134 1 43257 9614 3770 0 0 0135 2 41589 7086 3925 0 0 0136 4 40487 8621 4345 1 1 1137 3 42303 8465 3282 1 0 1138 3 43765 10273 4572 0 0 0139 6 42203 8502 4297 1 0 0140 2 40079 9448 3429 0 0 0141 1 40708 8915 4175 1 1 0142 2 39891 6937 4481 0 0 0143 3 38876 7804 3700 0 0 0144 2 43803 10041 4234 1 0 0145 3 39878 8411 3490 0 0 0146 4 39127 6948 4278 1 0 0147 2 38264 7229 5006 1 1 0148 3 40260 7919 3905 1 0 0149 4 40233 7607 3604 1 0 0150 2 39271 7766 3659 1 0 1151 3 41121 9175 4524 0 0 0152 4 40345 9034 3976 0 0 1153 2 39273 7916 4212 0 0 0154 3 38809 7616 4143 1 0 0155 3 39924 8975 2587 1 0 0156 2 42489 8326 4175 0 1 0157 4 41503 7834 4121 1 0 0158 3 38966 8528 4061 1 1 0159 4 38755 8599 2748 0 0 0160 2 42717 8637 4403 1 0 0161 3 43319 10071 4885 0 0 0162 4 42794 9280 3308 1 1 0163 4 40103 8000 3731 0 1 0164 1 38667 7358 4144 0 0 0165 4 41896 7480 3593 0 0 0166 5 43914 9254 4665 1 1 0167 3 39205 7551 4256 0 0 0

168 5 40472 7990 3563 0 0 0169 3 38160 7854 4833 1 0 0170 4 40750 8658 3825 1 1 0171 2 41624 8349 4376 1 0 0172 2 41043 8124 3998 0 0 0173 4 40788 8119 4213 1 0 0174 4 43026 9529 3280 1 0 0175 1 40555 7888 3582 1 0 0176 1 41944 8033 3845 1 0 0177 3 42686 9284 3664 1 0 0178 1 43039 8095 6076 1 1 0179 2 38898 8173 4380 0 0 0180 5 42444 8327 4009 1 1 0181 3 40689 6891 4127 1 1 0182 2 42261 9730 5062 1 0 1183 2 40723 7576 4248 1 0 0184 2 39005 8988 3520 1 1 0185 4 42781 7602 5736 0 1 0186 3 38735 6488 3882 1 0 0187 3 41183 8710 3307 1 0 0188 3 40597 8272 3848 1 0 0189 4 43463 9057 2950 1 0 0190 1 38675 8439 2885 0 0 0191 4 43871 8611 4190 1 1 0192 4 39111 7747 3833 1 1 0193 1 40785 8044 4278 0 1 0194 2 38715 7167 4716 1 0 0195 2 41785 7959 5131 0 0 1196 4 41432 8178 3375 0 0 1197 2 39840 8926 3413 0 1 0198 4 43339 8287 4691 1 0 0199 2 40556 7942 5152 1 1 1200 1 39973 9246 2895 1 1 0201 1 39164 8992 4305 0 0 0202 2 42847 8956 3688 1 0 0203 3 39604 6870 2931 1 1 1204 3 40961 7704 3931 1 0 0205 1 40852 7928 4646 0 1 0206 5 38883 7393 4816 1 1 0207 3 39562 7065 3812 0 0 0208 1 39223 6892 5203 1 1 0209 1 42258 7630 5324 1 1 0

210 4 39844 7894 4509 1 0 0211 1 38952 8617 3537 1 0 0212 3 43349 8855 3617 1 1 0213 3 42621 8334 4593 1 0 0214 5 43265 8878 3848 1 1 0215 2 38848 7976 4238 1 0 0216 4 38370 8475 4585 1 1 0217 2 38469 8135 4717 0 0 0218 2 40371 7873 4082 0 0 0219 4 40004 7595 4344 1 0 0220 2 39476 7628 3019 1 0 0221 2 39124 8036 4532 0 0 0222 2 40169 7189 4324 0 1 0223 2 41512 8274 3813 1 1 0224 2 40763 7552 3955 1 0 1225 3 38856 7614 3412 0 0 0226 3 38825 8115 4160 1 0 1227 5 41313 8177 4038 0 0 0228 4 38745 6589 4650 1 0 1229 1 38726 7105 4199 1 1 0230 3 38504 7557 4376 1 1 0231 4 40223 8888 3173 0 0 0232 1 43314 8863 3757 1 0 0233 2 41689 8658 3975 1 0 1234 2 40525 8232 4224 0 0 0235 1 41657 7846 3666 1 0 0236 1 38256 8747 4082 1 1 0237 3 41905 8136 4155 1 1 0238 2 43746 8266 4902 0 0 0239 3 38993 8277 2612 0 0 0240 3 42084 8816 4207 1 0 0241 1 42164 7300 4706 0 1 0242 3 39930 8028 3723 0 0 0243 2 41999 8974 5284 0 0 0244 3 42948 7885 3636 0 0 0245 2 42115 9151 4581 1 1 0246 4 39166 7838 4176 0 0 0247 2 42740 7633 3844 0 1 1248 1 38201 9331 4114 1 0 0249 2 40340 9434 4101 1 0 0250 4 41213 9526 3905 0 0 0251 2 38393 7008 3576 1 0 1

252 2 42068 8696 3525 0 1 0253 1 41520 7459 3694 0 1 0254 4 39359 8875 3648 1 0 0255 3 41106 8553 3622 1 1 0256 3 40287 8723 3053 0 0 0257 3 39987 7672 3847 1 1 0258 2 39260 6869 3419 1 0 0259 4 42332 8644 5456 1 1 1260 3 43123 8586 4379 1 0 0261 4 43474 10466 5152 0 0 0262 1 42441 8613 5577 1 0 0263 2 40968 8560 4080 1 0 1264 2 41212 9040 3699 0 0 0265 1 41449 7339 3473 1 0 0266 1 41471 8059 3727 1 1 0267 3 39225 7540 3722 1 1 0268 1 39778 7962 4611 1 0 0269 2 41271 8422 3500 1 1 0270 4 38176 7852 4267 1 0 0271 2 43575 9490 4815 1 0 0272 1 43793 7829 4454 1 1 0273 3 41705 9017 4789 1 0 0274 4 38220 7569 3282 1 1 0275 2 41975 8909 4407 0 0 0276 2 42188 7985 4239 1 0 0277 3 41877 8872 4634 0 0 1278 2 38560 8486 3479 1 0 1279 4 38868 7812 4514 1 0 0280 4 39702 7254 4753 1 1 0281 4 40639 6914 4291 0 1 0282 4 40538 9280 4849 0 1 0283 4 43090 8174 4115 1 0 0284 5 41446 8834 4365 0 1 0285 1 38972 7984 3502 1 1 0286 5 38170 6993 4209 0 1 0287 4 41524 8923 4448 1 1 0288 1 41822 8455 4226 1 0 1289 1 42563 9386 3724 0 0 0290 4 42703 7692 3944 1 1 0291 3 39641 6887 3192 1 1 0292 1 41767 9238 3078 0 0 0293 4 39970 9140 3343 1 0 0

294 2 40864 7775 4201 1 1 0295 1 39844 8439 3974 0 0 0296 3 38419 8566 2982 1 0 0297 1 38528 7557 3917 1 1 0298 2 42816 9168 4235 1 0 0299 4 41652 7757 4087 1 0 0300 4 43465 8351 2929 1 1 0301 4 41309 8432 3476 1 1 1302 4 42010 8418 2822 1 1 0303 2 43098 8930 4572 1 0 0304 1 42089 8266 5284 1 1 0305 4 38086 6501 3655 1 0 0306 4 42900 7852 4601 0 1 1307 4 41193 7164 4571 1 0 1308 2 41713 7231 3831 1 0 0309 5 42045 8697 4943 1 1 0310 1 40589 7065 4910 0 0 1311 5 39005 8737 4950 1 0 0312 2 43626 9210 3923 0 1 0313 2 40547 7697 3075 1 1 0314 6 40267 7792 3037 1 0 1315 3 40931 8075 4345 1 0 0316 1 39287 7243 4106 0 1 0317 3 42604 8406 4588 0 1 1318 3 40474 7277 4497 0 1 0319 4 40626 8744 4721 0 1 0320 2 42161 8834 3987 1 0 0321 3 39183 7840 3710 1 1 1322 4 38134 7647 4062 1 0 0323 2 42767 7808 3848 1 0 0324 1 41851 7955 3008 0 0 0325 3 40516 8164 4157 0 0 0326 2 38585 8305 2409 0 0 0327 1 38035 8171 4172 1 1 1328 2 41631 8525 3640 0 0 0329 4 40796 8341 4572 1 0 0330 2 38554 8063 4136 1 1 0331 4 39310 9369 4768 1 1 0332 2 38200 8565 4076 0 0 0333 1 41252 7478 3474 1 0 0334 1 38068 7083 3827 0 1 0335 4 43177 9592 5167 1 0 0

336 2 43625 8487 4937 1 1 0337 4 43568 8377 4438 1 0 1338 1 42676 8966 3944 1 0 0339 4 43687 8760 4232 1 1 0340 3 38530 8682 3932 0 0 0341 4 40913 8282 4533 1 0 0342 2 41268 7602 3550 1 0 0343 4 38627 8154 4098 1 1 0344 2 42236 7495 4362 1 0 0345 4 43007 8891 4786 1 0 0346 1 39246 7322 4053 0 1 1347 2 42935 8482 4053 1 1 1348 4 39139 7600 4096 1 0 0349 4 40173 7221 3828 0 0 0350 2 38415 7681 3398 1 1 0351 2 41769 9045 4498 1 0 0352 1 39201 7973 3059 0 1 0353 2 39794 8342 4865 1 0 0354 5 43818 8793 3418 0 0 0355 3 40031 8009 4562 1 1 0356 5 41145 8392 3713 1 1 0357 1 42550 9749 5066 1 1 0358 2 38899 7847 4130 0 1 0359 3 38727 8563 2973 0 0 1360 5 43274 9989 4713 0 1 0361 3 38186 7955 4529 0 1 0362 2 42718 8827 4529 1 0 0363 2 40697 8398 4314 0 0 0364 4 40622 9080 4425 1 0 0365 1 39737 6907 3825 0 0 0366 2 43437 9508 4420 1 0 0367 4 38354 7511 3591 0 1 0368 3 40162 7957 4300 0 0 1369 2 42509 8383 3930 1 0 0370 3 41892 7283 3681 0 1 0371 1 41639 9077 3814 1 0 0372 1 40169 7759 4341 1 0 0373 1 41095 8204 3412 1 1 0374 5 42802 7833 4807 0 0 0375 2 43735 9732 5710 0 1 0376 5 41540 8734 4447 1 0 0377 3 42386 9822 3967 1 0 1

378 2 38405 7638 4526 0 0 0379 1 41654 8503 3334 0 0 0380 3 40421 7619 4317 1 1 0381 3 39218 7562 2840 0 0 0382 2 42314 8123 3592 1 1 1383 5 39338 8052 4626 1 1 0384 3 40146 8270 3657 1 0 0385 5 40740 8350 3603 1 1 0386 2 41521 8897 4769 1 1 0387 2 38659 7022 4407 1 0 1388 4 43030 8885 4725 1 0 0389 1 38700 7661 4157 0 0 0390 3 38396 6367 4251 1 0 0391 5 38117 8061 4032 0 1 0392 1 38288 7691 3544 1 0 0393 2 40671 8248 3953 1 0 0394 3 39546 8143 3431 1 1 0395 1 39979 7638 4904 1 0 0396 2 39798 8285 4470 0 1 0397 5 42601 7943 5293 1 0 0398 2 43773 8173 4961 1 0 0399 3 38613 7566 4604 1 1 0400 1 42529 8976 4418 1 1 0401 1 42670 7875 4074 1 1 0402 3 40190 8952 4309 0 1 0403 4 43272 9507 5328 0 1 1404 4 40324 8235 3207 1 0 0405 5 40764 6833 3846 0 0 0406 1 42129 8588 3539 1 1 1407 3 40712 8732 3776 0 0 0408 3 42720 8768 4057 1 0 0409 4 43668 9102 4222 1 0 0410 2 38623 7590 2819 0 0 1411 3 39261 7762 3655 0 1 0412 2 43200 9141 4379 1 0 0413 1 42036 9228 4461 1 0 0414 2 39879 8065 4152 1 0 0415 3 41473 7477 3459 0 0 0416 3 39537 8489 3289 1 0 0417 4 41608 8675 4620 1 0 0418 2 39284 7467 4507 1 0 0419 4 40956 9253 3646 0 1 0

420 1 40177 8797 5051 1 1 0421 3 41238 9413 3687 0 0 0422 1 38627 8182 3162 1 0 0423 3 41567 7536 3520 1 0 0424 6 43970 9133 5345 1 1 0425 4 40127 8002 4247 0 1 0426 3 42374 8125 4279 0 0 0427 2 41458 8241 4000 1 0 0428 1 43695 8493 5030 0 1 0429 2 40605 8092 3680 0 0 0430 1 40173 9581 4727 0 1 0431 5 39011 8030 3131 1 0 0432 3 41724 8410 4219 0 0 0433 3 38231 7089 2960 1 0 0434 2 41731 8494 3783 1 0 0435 3 39741 8535 5030 1 0 0436 2 38742 7447 3798 1 0 1437 3 38928 8156 4450 1 1 0438 2 38557 8023 4333 0 0 0439 3 40863 8070 3768 0 0 0440 3 43008 9361 4367 1 1 0441 2 38825 7214 3294 1 0 1442 2 41138 8659 4746 1 0 0443 4 41986 8388 3420 0 0 0444 3 40862 8507 4106 1 1 0445 2 40766 8718 4316 0 1 0446 5 41211 8904 4709 1 0 0447 1 40243 8292 3638 1 0 0448 6 38657 8005 4654 1 1 0449 5 43071 9423 3043 1 0 0450 3 43727 9261 4759 1 1 1451 3 40289 7983 3949 0 1 0452 3 42209 8888 3836 1 0 0453 2 40258 8134 3512 1 1 0454 4 41734 8715 4288 0 0 0455 2 39415 7763 3020 1 1 0456 1 39597 8647 4266 1 1 0457 3 43592 9821 4974 0 0 0458 4 38494 7463 3776 0 0 1459 1 42697 8570 2897 1 1 1460 1 43698 8687 4287 1 1 0461 1 42001 8172 4059 1 1 0

462 4 41061 8657 3601 1 0 0463 3 43033 8859 4796 0 0 0464 3 39835 8504 3248 1 0 1465 2 39875 7573 3817 1 0 0466 5 43909 8753 4115 1 1 0467 2 43395 8370 4764 1 0 0468 3 40430 7606 4429 1 1 0469 4 40138 8232 5409 1 0 0470 1 39720 7087 3612 0 0 0471 2 38141 7554 3883 1 0 0472 2 40960 7854 3870 1 0 0473 3 43255 8653 3327 1 0 0474 4 39067 8990 4058 1 0 0475 3 43844 10450 4116 1 0 0476 4 39904 8983 4514 1 0 1477 5 40350 8528 3442 1 0 0478 4 39616 7585 3743 1 0 0479 1 39609 8756 4898 0 1 0480 1 40178 8592 3998 0 0 0481 2 38794 6876 3673 1 1 0482 3 42397 8399 4605 0 0 0483 4 38852 8436 4373 1 0 0484 3 38243 8066 4154 0 0 0485 3 43907 9088 3439 1 0 0486 2 43422 8725 5400 1 1 0487 3 40582 8123 4647 1 1 0488 2 39241 8346 4259 1 0 0489 2 42812 8913 4515 1 1 0490 4 43776 8061 4124 0 0 0491 3 42350 7891 2531 1 1 0492 1 39692 8730 3288 0 0 0493 1 40615 8159 3504 1 1 0494 3 41708 8921 4321 0 0 0495 3 40796 9142 3982 0 0 0496 3 38692 7763 3867 1 0 0497 5 40716 8746 5411 1 0 0498 4 39039 8790 3926 0 0 0499 3 41340 9202 4769 1 1 0500 2 38623 6654 3551 1 0 0501 2 42623 9494 3752 1 0 0502 1 43294 8067 4251 0 1 0503 3 38274 7825 4428 1 0 0

504 3 43198 8262 4529 1 0 0505 4 40781 7488 4508 0 0 0506 4 40475 6795 4903 1 0 0507 2 42611 8332 5125 0 1 0508 1 39957 7401 3780 0 0 0509 3 40950 8281 4367 1 1 0510 2 38883 8507 4772 1 0 1511 1 38333 7226 4433 1 0 0512 3 39751 8722 4476 1 1 0513 1 40241 8534 4672 1 1 0514 3 41022 8905 3132 1 0 0515 4 42728 8161 3827 0 0 0516 4 42754 8259 3677 1 1 0517 3 40216 8457 3851 1 1 1518 4 39405 8491 2925 1 1 0519 3 43526 8391 3369 0 0 0520 2 40350 6856 2866 1 1 0521 2 41444 8316 4938 1 0 0522 2 41710 8597 3919 0 0 0523 1 40663 8123 3487 1 1 0524 2 40047 7873 3599 1 0 0525 4 40301 7328 4310 1 0 0526 5 43408 8134 4677 1 0 0527 2 42074 8029 3966 1 1 0528 4 41465 7726 3181 1 1 0529 1 39111 7906 3999 1 1 0530 2 40045 8423 4212 0 1 0531 4 39039 7860 3463 0 1 0532 2 38528 6477 4443 1 1 0533 1 42949 9131 3957 1 0 1534 3 39309 8672 3575 1 1 0535 5 38453 7906 4410 0 1 0536 3 38876 8326 4825 1 0 0537 3 38281 7708 3500 1 0 0538 1 39962 7718 3869 0 0 0539 2 41712 8560 4425 1 1 0540 1 40264 8248 3706 1 0 0541 4 38620 7402 3872 0 1 0542 2 40562 8091 4081 1 1 0543 1 39003 8247 3090 0 0 0544 4 41898 9071 4327 0 0 0545 1 40476 8205 4026 0 1 0

546 1 38007 8545 5132 0 1 0547 3 38333 7891 4363 0 0 0548 2 40441 8292 3414 0 1 1549 1 43472 8521 4074 1 1 0550 1 41770 8266 3187 1 0 0551 4 42578 9887 4954 1 0 0552 4 38575 6977 4594 1 0 0553 1 41059 8679 4176 1 1 0554 4 39082 8324 3987 1 1 0555 3 41582 9139 4565 1 0 0556 5 39876 8174 4174 0 0 0557 3 41549 7913 4296 0 1 0558 5 40998 8903 3336 0 1 1559 2 39242 8262 3814 0 1 0560 2 42757 7712 4208 1 0 0561 3 42814 9717 6178 0 0 0562 3 42877 8559 4539 1 0 0563 5 43694 9139 4268 1 0 1564 2 38594 7812 4725 1 1 0565 2 42020 7927 4953 1 1 0566 4 38544 6895 3786 0 1 0567 6 39384 7878 4028 0 0 0568 2 42345 7094 4519 1 0 0569 4 38083 7896 4644 0 0 0570 1 38878 7783 2949 0 0 0571 3 38768 7277 3194 0 0 0572 5 38193 7798 4260 0 0 0573 4 40160 9411 4233 1 0 0574 3 41786 8988 4085 1 0 0575 5 43614 9452 3531 0 0 0576 2 38372 7978 4057 1 0 0577 4 43884 8705 4693 1 0 0578 4 42117 9353 4348 0 0 0579 1 41387 7371 3392 0 0 0580 4 41188 8077 3750 1 1 0581 1 41924 8959 4406 1 0 0582 2 43562 8357 5347 1 1 0583 3 41895 8627 4183 1 1 0584 2 40490 9170 3903 0 1 0585 1 41453 8756 2475 1 0 0586 2 42630 8647 4577 1 1 0587 2 39657 9143 3670 1 1 0

588 3 41556 8349 3238 1 1 0589 3 43000 8107 4836 0 1 0590 2 43385 9260 4516 1 1 0591 1 42920 8086 3818 1 1 0592 5 42140 8477 4034 1 0 0593 2 41294 8273 3733 1 0 0594 5 41243 8784 3813 1 0 0595 1 41392 8352 4874 1 0 0596 2 42126 8484 4882 0 1 0597 2 39245 8459 3839 0 0 0598 2 41805 8064 5013 1 1 1599 5 41983 8161 5358 1 0 0600 4 38764 8099 3428 1 0 1601 2 38697 6594 3391 0 0 0602 1 40911 8162 3439 1 1 0603 2 42237 8448 5277 1 0 0604 3 40449 8052 4335 0 0 0605 3 40918 9292 4753 0 1 0606 3 42173 7809 4673 0 0 0607 3 42728 8716 4936 0 0 0608 2 43407 9026 4965 1 0 0609 2 43591 9232 4804 1 0 0610 3 41126 8829 4069 0 0 1611 1 41178 7017 4855 1 1 0612 1 38095 7577 3119 1 0 0613 3 42317 7895 6321 0 1 0614 1 41782 8556 5203 1 1 0615 3 42512 9424 4565 0 1 0616 1 39233 9083 4688 1 1 0617 3 42469 7798 4537 1 1 1618 3 43325 9155 4763 1 0 0619 1 41341 8657 3969 1 0 0620 5 42032 8199 4638 1 1 0621 4 41177 8815 3408 1 1 0622 5 40318 8236 4408 1 0 0623 2 43257 9225 4766 1 0 0624 2 39378 8919 3638 0 0 1625 2 39639 7144 5399 0 0 0626 1 40322 8694 3688 1 1 0627 3 41196 8850 3664 1 1 0628 1 43960 10621 4987 0 1 0629 1 39154 8684 2900 0 0 0

630 3 41480 8571 5519 0 0 1631 2 38045 7865 2892 1 0 0632 4 41410 8752 3191 1 0 0633 3 41970 8305 5006 1 1 1

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PE PE fi Fi ni% Ni%5 1 118 118 18.64% 18.64%2 2 175 293 27.65% 46.29%4 3 162 455 25.59% 71.88%3 4 125 580 19.75% 91.63%3 5 46 626 7.27% 98.89%3 6 7 633 1.11% 100.00%2 Total 633 100.00%33 Media 2.726698264 Mediana 32 Moda 23 Varianza 1.535100793 Desviasion es 1.238991841123433322225112241423434

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211323313232421242214333243412211312421

342232444445154114314213124444214442515

226313342342132124242114241434242412442

212535123532241243231115253213325352241

351231252311344513342321233424131364321

215332323233224325165333242134111433252

341223434541123433232243113335432213344

213213134434322212452412421353312142141

132114414353522335224624135435244141232

122332152512225421233332231131313315452

2213113243

ING N 633 Ref Li Ls Clases41739 Maximo 43970 1 0 38007 38246 (38007-38246]43480 Minimo 38007 2 0 38246 38485 (38246-38485]43698 Amplitud 5963 3 0 38485 38724 (38485-38724]42086 Numero de clases 25 4 0 38724 38963 (38724-38963]40847 Rango de la clase 239 5 0 38963 39202 (38963-39202]42546 N/2 316.5 6 0 39202 39441 (39202-39441]40902 Li N/2 40875 7 0 39441 39680 (39441-39680]41463 fi N/2 22 8 0 39680 39919 (39680-39919]39982 fi-1 N/2 27 9 0 39919 40158 (39919-40158]41524 fi+1 N/2 27 10 0 40158 40397 (40158-40397]40026 Fi-1 N/2 314 11 0 40397 40636 (40397-40636]38400 Media 40931.0687 12 0 40636 40875 (40636-40875]43282 Mediana 40902.1591 13 1 40875 41114 (40875-41114]40422 Moda 40994.5 14 0 41114 41353 (41114-41353]42784 Varianza 2813765.33 15 0 41353 41592 (41353-41592]42952 Desviación estandar 1677.42819 16 0 41592 41831 (41592-41831]38553 17 0 41831 42070 (41831-42070]41672 18 0 42070 42309 (42070-42309]38256 19 0 42309 42548 (42309-42548]40063 20 0 42548 42787 (42548-42787]43854 21 0 42787 43026 (42787-43026]43094 22 0 43026 43265 (43026-43265]40326 23 0 43265 43504 (43265-43504]39957 24 0 43504 43743 (43504-43743]42371 25 0 43743 43982 (43743-43982]39196 Total

416803995843913418403990539787395514207642393405314184338877

(38007-38246]

(38246-38485]

(38485-38724]

(38724-38963]

(38963-39202]

(39202-39441]

(39441-39680]

(39680-39919]

(39919-40158]

(40158-40397]

(40397-40636]

(40636-40875]

(40875-41114]

(41114-41353]

(41353-41592]

(41592-41831]

(41831-42070]

(42070-42309]

(42309-42548]

(42548-42787]

(42787-43026]

(43026-43265]

(43265-43504]

(43504-43743]

(43743-43982]0

5

10

15

20

25

30

35

40



Frec

uenc

ia

418184309242084419734297942747412824189638656434064091542174381773972439387438963834138213424913933640630380094062442429438654222439465434994302341807382484324738531392944348641733399624088541855

(38007-38246]

(38246-38485]

(38485-38724]

(38724-38963]

(38963-39202]

(39202-39441]

(39441-39680]

(39680-39919]

(39919-40158]

(40158-40397]

(40397-40636]

(40636-40875]

(40875-41114]

(41114-41353]

(41353-41592]

(41592-41831]

(41831-42070]

(42070-42309]

(42309-42548]

(42548-42787]

(42787-43026]

(43026-43265]

(43265-43504]

(43504-43743]

(43743-43982]0

5

10

15

20

25

30

35

40



Frec

uenc

ia

420904288643218392653825143726405274066542587412463942139931387204282338974410354006542070391424018843451426004065343918418083955540909394803826842005412434060442380425763995340821384773928638259

402024321943776430484333138894385304019941127431644333543199420734286140394403594101343257415894048742303437654220340079407083989138876438033987839127382644026040233392714112140345392733880939924

424894150338966387554271743319427944010338667418964391439205404723816040750416244104340788430264055541944426864303938898424444068942261407233900542781387354118340597434633867543871391114078538715

417854143239840433394055639973391644284739604409614085238883395623922342258398443895243349426214326538848383703846940371400043947639124401694151240763388563882541313387453872638504402234331441689

405254165738256419054374638993420844216439930419994294842115391664274038201403404121338393420684152039359411064028739987392604233243123434744244140968412124144941471392253977841271381764357543793

417053822041975421884187738560388683970240639405384309041446389723817041524418224256342703396414176739970408643984438419385284281641652434654130942010430984208938086429004119341713420454058939005

436264054740267409313928742604404744062642161391833813442767418514051638585380354163140796385543931038200412523806843177436254356842676436873853040913412683862742236430073924642935391394017338415

417693920139794438184003141145425503889938727432743818642718406974062239737434373835440162425094189241639401694109542802437354154042386384054165440421392184231439338401464074041521386594303038700

383963811738288406713954639979397984260143773386134252942670401904327240324407644212940712427204366838623392614320042036398794147339537416083928440956401774123838627415674397040127423744145843695

406054017339011417243823141731397413874238928385574086343008388254113841986408624076641211402433865743071437274028942209402584173439415395974359238494426974369842001410614303339835398754390943395

404304013839720381414096043255390674384439904403503961639609401783879442397388523824343907434224058239241428124377642350396924061541708407963869240716390394134038623426234329438274431984078140475

426113995740950388833833339751402414102242728427544021639405435264035041444417104066340047403014340842074414653911140045390393852842949393093845338876382813996241712402643862040562390034189840476

380073833340441434724177042578385754105939082415823987641549409983924242757428144287743694385944202038544393844234538083388783876838193401604178643614383724388442117413874118841924435624189540490

414534263039657415564300043385429204214041294412434139242126392454180541983387643869740911422374044940918421734272843407435914112641178380954231741782425123923342469433254134142032411774031843257

39378396394032241196439603915441480380454141041970

Marca de clase fi Fi Fi-1 fi+1 fi-1 Marca de clase * fi (marca de la clase -media)^2 (Xi-~X)^2*fi38126.5 23 23 25 876909.5 7865605.70732912 180908931.2738365.5 25 48 23 31 23 959137.5 6582142.85898789 164553571.4738604.5 31 79 48 27 25 1196739.5 5412922.01064666 167800582.3338843.5 27 106 79 24 31 1048774.5 4357943.16230542 117664465.3839082.5 24 130 106 29 27 937980 3417206.31396419 82012951.53539321.5 29 159 130 15 24 1140323.5 2590711.46562296 75130632.50339560.5 15 174 159 22 29 593407.5 1878458.61728173 28176879.25939799.5 22 196 174 26 15 875589 1280447.7689405 28169850.91740038.5 26 222 196 35 22 1041001 796678.920599266 20713651.93640277.5 35 257 222 30 26 1409712.5 427152.072258034 14950322.52940516.5 30 287 257 27 35 1215495 171867.223916802 5156016.717540755.5 27 314 287 22 30 1100398.5 30824.3755755707 832258.1405440994.5 22 336 314 27 27 901879 4023.52723433899 88517.59915541233.5 27 363 336 26 22 1113304.5 91464.6788931073 2469546.330141472.5 26 389 363 31 27 1078285 293147.830551876 7621843.594341711.5 31 420 389 28 26 1293056.5 609072.982210644 18881262.44941950.5 28 448 420 26 31 1174614 1039240.13386941 29098723.74842189.5 26 474 448 21 28 1096927 1583649.28552818 41174881.42442428.5 21 495 474 29 26 890998.5 2242300.43718695 47088309.18142667.5 29 524 495 22 21 1237357.5 3015193.58884572 87440614.07742906.5 22 546 524 22 29 943943 3902328.74050449 85851232.29143145.5 22 568 546 26 22 949201 4903705.89216325 107881529.6343384.5 26 594 568 18 22 1127997 6019325.04382202 156502451.1443623.5 18 612 594 21 26 785223 7249186.19548079 130485351.5243862.5 21 633 612 18 921112.5 8593289.34713956 180459076.29

Total 633 25909366.5 1781113453

(38007-38246]

(38246-38485]

(38485-38724]

(38724-38963]

(38963-39202]

(39202-39441]

(39441-39680]

(39680-39919]

(39919-40158]

(40158-40397]

(40397-40636]

(40636-40875]

(40875-41114]

(41114-41353]

(41353-41592]

(41592-41831]

(41831-42070]

(42070-42309]

(42309-42548]

(42548-42787]

(42787-43026]

(43026-43265]

(43265-43504]

(43504-43743]

(43743-43982]0

5

10

15

20

25

30

35

40



Frec

uenc

ia

(38007-38246]

(38246-38485]

(38485-38724]

(38724-38963]

(38963-39202]

(39202-39441]

(39441-39680]

(39680-39919]

(39919-40158]

(40158-40397]

(40397-40636]

(40636-40875]

(40875-41114]

(41114-41353]

(41353-41592]

(41592-41831]

(41831-42070]

(42070-42309]

(42309-42548]

(42548-42787]

(42787-43026]

(43026-43265]

(43265-43504]

(43504-43743]

(43743-43982]0

5

10

15

20

25

30

35

40



Frec

uenc

ia

AL N 633 Ref Li Ls Clases7490 Maximo 10694 1 0 6367 6541 (6367-6541]9205 Minimo 6367 2 0 6541 6715 (6541-6715]9789 Amplitud 4327 3 0 6715 6889 (6715-6889]8767 Numero de clases 25 4 0 6889 7063 (6889-7063]7783 Rango de la clase 174 5 0 7063 7237 (7063-7237]8181 N/2 316.5 6 0 7237 7411 (7237-7411]8209 Li N/2 8107 7 0 7411 7585 (7411-7585]8675 fi N/2 66 8 0 7585 7759 (7585-7759]8895 fi-1 N/2 53 9 0 7759 7933 (7759-7933]

10694 fi+1 N/2 51 10 0 7933 8107 (7933-8107]7691 Fi-1 N/2 252 11 1 8107 8281 (8107-8281]7797 Media 8308.6255924 12 0 8281 8455 (8281-8455]8483 Mediana 8277.0454545 13 0 8455 8629 (8455-8629]7734 Moda 8187.7857143 14 0 8629 8803 (8629-8803]8246 Varianza 534746.56598 15 0 8803 8977 (8803-8977]8056 Desviación estandar 731.26367747 16 0 8977 9151 (8977-9151]8162 17 0 9151 9325 (9151-9325]7656 18 0 9325 9499 (9325-9499]7781 19 0 9499 9673 (9499-9673]8812 20 0 9673 9847 (9673-9847]

10318 21 0 9847 10021 (9847-10021]9857 22 0 10021 10195 (10021-10195]8855 23 0 10195 10369 (10195-10369]7512 24 0 10369 10543 (10369-10543]8130 25 0 10543 10717 (10543-10717]8497 Total

835182438801834986848181764677269294846090788167

(6367-6541]

(6541-6715]

(6715-6889]

(6889-7063]

(7063-7237]

(7237-7411]

(7411-7585]

(7585-7759]

(7759-7933]

(7933-8107]

(8107-8281]

(8281-8455]

(8455-8629]

(8629-8803]

(8803-8977]

(8977-9151]

(9151-9325]

(9325-9499]

(9499-9673]

(9673-9847]

(9847-10021]

(10021-10195]

(10195-10369]

(10369-10543]

(10543-10717]0

10

20

30

40

50

60

70



Frec

uenc

ia

864395778738885486339240777992017261975179167621727977178945868777527086919472657684841484819808

1008480788125871088108592762781967507728799218231724285077113

(6367-6541]

(6541-6715]

(6715-6889]

(6889-7063]

(7063-7237]

(7237-7411]

(7411-7585]

(7585-7759]

(7759-7933]

(7933-8107]

(8107-8281]

(8281-8455]

(8455-8629]

(8629-8803]

(8803-8977]

(8977-9151]

(9151-9325]

(9325-9499]

(9499-9673]

(9673-9847]

(9847-10021]

(10021-10195]

(10195-10369]

(10369-10543]

(10543-10717]0

10

20

30

40

50

60

70



Frec

uenc

ia

790476228933780178797586932979608328881785548833774496127732815683897832804385238712895689788392864970378895907689359338801695418027967782218941786179127198

828081039857890391387325793183687661772695778121805884137948742088019614708686218465

1027385029448891569377804

1004184116948722979197607776691759034791676168975

83267834852885998637

10071928080007358748092547551799078548658834981248119952978888033928480958173832768919730757689887602648887108272905784398611774780447167

795981788926828779429246899289566870770479287393706568927630789486178855833488787976847581357873759576288036718982747552761481158177658971057557888888638658

823278468747813682668277881673008028897478859151783876339331943495267008869674598875855387237672686986448586

1046686138560904073398059754079628422785294907829

901775698909798588728486781272546914928081748834798469938923845593867692688792389140777584398566755791687757835184328418893082666501785271647231869770658737

921076977792807572438406727787448834784076477808795581648305817185258341806393698565747870839592848783778966876086828282760281547495889173228482760072217681

904579738342879380098392974978478563998979558827839890806907950875117957838372839077775982047833973287349822763885037619756281238052827083508897702288857661

636780617691824881437638828579438173756689767875895295078235683385888732876891027590776291419228806574778489867574679253879794138182753691338002812582418493

809295818030841070898494853574478156802380709361721486598388850787188904829280059423926179838888813487157763864798217463857086878172865788598504757387538370

7606823270877554785486538990

104508983852875858756859268768399843680669088872581238346891380617891873081598921914277638746879092026654949480677825826274886795

833274018281850772268722853489058161825984578491839168568316859781237873732881348029772679068423786064779131867279068326770877188560824874028091824790718205

854578918292852182669887697786798324913981747913890382627712971785599139781279276895787870947896778372777798941189889452797887059353737180778959835786279170

875686479143834981079260808684778273878483528484845980648161809965948162844880529292780987169026923288297017757778958556942490837798915586578199881582369225

8919714486948850

1062186848571786587528305

Marca de clase fi Fi Fi-1 fi+1 fi-1 Marca de clase(marca de la clase -media)^2 (Xi-~X)^2*fi6454 4 4 3 25816 3439636.08804834 13758544.3526628 3 7 4 7 4 19884 2824502.3818872 8473507.14576802 7 14 7 13 3 47614 2269920.67572606 15889444.736976 13 27 14 20 7 90688 1775890.96956493 23086582.6047150 20 47 27 20 13 143000 1342413.26340379 26848265.2687324 20 67 47 28 20 146480 969487.55724265 19389751.1457498 28 95 67 46 20 209944 657113.851081513 18399187.837672 46 141 95 58 28 352912 405292.144920375 18643438.6667846 58 199 141 53 46 455068 214022.438759237 12413301.4488020 53 252 199 66 58 425060 83304.7325980999 4415150.82778194 66 318 252 51 53 540804 13139.0264369624 867175.744848368 51 369 318 53 66 426768 3525.32027582486 179791.334078542 53 422 369 56 51 452726 54463.6141146873 2886571.54818716 56 478 422 50 53 488096 165953.90795355 9293418.84548890 50 528 478 30 56 444500 337996.201792412 16899810.099064 30 558 528 24 50 271920 570590.495631275 17117714.8699238 24 582 558 16 30 221712 863736.789470137 20729682.9479412 16 598 582 11 24 150592 1217435.083309 19478961.3339586 11 609 598 10 16 105446 1631685.37714786 17948539.1499760 10 619 609 5 11 97600 2106487.67098672 21064876.719934 5 624 619 3 10 49670 2641841.96482559 13209209.824

10108 3 627 624 2 5 30324 3237748.25866445 9713244.77610282 2 629 627 2 3 20564 3894206.55250331 7788413.10510456 2 631 629 2 2 20912 4611216.84634217 9222433.692710630 2 633 631 2 21260 5388779.14018104 10777558.28

Total 633 5259360 338494576.27

(6367-6541]

(6541-6715]

(6715-6889]

(6889-7063]

(7063-7237]

(7237-7411]

(7411-7585]

(7585-7759]

(7759-7933]

(7933-8107]

(8107-8281]

(8281-8455]

(8455-8629]

(8629-8803]

(8803-8977]

(8977-9151]

(9151-9325]

(9325-9499]

(9499-9673]

(9673-9847]

(9847-10021]

(10021-10195]

(10195-10369]

(10369-10543]

(10543-10717]0

10

20

30

40

50

60

70



Frec

uenc

ia

(6367-6541]

(6541-6715]

(6715-6889]

(6889-7063]

(7063-7237]

(7237-7411]

(7411-7585]

(7585-7759]

(7759-7933]

(7933-8107]

(8107-8281]

(8281-8455]

(8455-8629]

(8629-8803]

(8803-8977]

(8977-9151]

(9151-9325]

(9325-9499]

(9499-9673]

(9673-9847]

(9847-10021]

(10021-10195]

(10195-10369]

(10369-10543]

(10543-10717]0

10

20

30

40

50

60

70



Frec

uenc

ia

AD N 633 Ref Li Ls Clases3840 Maximo 6321 1 0 2409 2566 (2409-2566]3624 Minimo 2409 2 0 2566 2723 (2566-2723]4377 Amplitud 3912 3 0 2723 2880 (2723-2880]5219 Numero de clases 25 4 0 2880 3037 (2880-3037]3723 Rango de la clase 157 5 0 3037 3194 (3037-3194]5137 N/2 316.5 6 0 3194 3351 (3194-3351]3749 Li N/2 3979 7 0 3351 3508 (3351-3508]4532 fi N/2 59 8 0 3508 3665 (3508-3665]2814 fi-1 N/2 59 9 0 3665 3822 (3665-3822]4122 fi+1 N/2 66 10 0 3822 3979 (3822-3979]3284 Fi-1 N/2 270 11 1 3979 4136 (3979-4136]4014 Media 4095.9439179 12 0 4136 4293 (4136-4293]3591 Mediana 4102.7372881 13 0 4293 4450 (4293-4450]4550 Moda 3979 14 0 4450 4607 (4450-4607]4283 Varianza 399954.19946 15 0 4607 4764 (4607-4764]4595 Desviación estandar 632.41932249 16 0 4764 4921 (4764-4921]3491 17 0 4921 5078 (4921-5078]3879 18 0 5078 5235 (5078-5235]3778 19 0 5235 5392 (5235-5392]3914 20 0 5392 5549 (5392-5549]3739 21 0 5549 5706 (5549-5706]4701 22 0 5706 5863 (5706-5863]3608 23 0 5863 6020 (5863-6020]5359 24 0 6020 6177 (6020-6177]4209 25 0 6177 6334 (6177-6334]4515 Total

354735524684503848733288378246533243403841573889

(2409-2566]

(2566-2723]

(2723-2880]

(2880-3037]

(3037-3194]

(3194-3351]

(3351-3508]

(3508-3665]

(3665-3822]

(3822-3979]

(3979-4136]

(4136-4293]

(4293-4450]

(4450-4607]

(4607-4764]

(4764-4921]

(4921-5078]

(5078-5235]

(5235-5392]

(5392-5549]

(5549-5706]

(5706-5863]

(5863-6020]

(6020-6177]

(6177-6334]

0

10

20

30

40

50

60

70



Frec

uenc

ia

343943474480368946704996410242333758427138634571281235194168503434204273433639133853294337834105469042463001423041193864245141614435374940503592457629773630

(2409-2566]

(2566-2723]

(2723-2880]

(2880-3037]

(3037-3194]

(3194-3351]

(3351-3508]

(3508-3665]

(3665-3822]

(3822-3979]

(3979-4136]

(4136-4293]

(4293-4450]

(4450-4607]

(4607-4764]

(4764-4921]

(4921-5078]

(5078-5235]

(5235-5392]

(5392-5549]

(5549-5706]

(5706-5863]

(5863-6020]

(6020-6177]

(6177-6334]

0

10

20

30

40

50

60

70



Frec

uenc

ia

385645273739317834603571342450614256457440004287317732483905397537885770432649644229417744674108368635104045393244414404424339404639513437774876353448014419

303037265217466944182577403246273132404945934642423034683985440939883770392543453282457242973429417544813700423434904278500639053604365945243976421241432587

417541214061274844034885330837314144359346654256356348333825437639984213328035823845366460764380400941275062424835205736388233073848295028854190383342784716

513133753413469151522895430536882931393146464816381252035324450935373617459338484238458547174082434430194532432438133955341241604038465041994376317337573975

422436664082415549022612420747063723528436364581417638444114410139053576352536943648362230533847341954564379515255774080369934733727372246113500426748154454

478932824407423946343479451447534291484941154365350242094448422637243944319230783343420139742982391742354087292934762822457252843655460145713831494349104950

392330753037434541064588449747213987371040623848300841572409417236404572413647684076347438275167493744383944423239324533355040984362478640534053409638283398

449830594865341845623713506641302973471345294529431444253825442035914300393036813814434134124807571044473967452633344317284035924626365736034769440747254157

425140323544395334314904447052934961460444184074430953283207384635393776405742222819365543794461415234593289462045073646505136873162352053454247427940005030

368047273131421929603783503037984450433337684367329447463420410643164709363846543043475939493836351242883020426649743776289742874059360147963248381741154764

442954093612388338703327405841164514344237434898399836734605437341543439540046474259451541242531328835044321398238675411392647693551375242514428452945084903

512537804367477244334476467231323827367738512925336928664938391934873599431046773966318139994212346344433957357544104825350038694425370638724081309043274026

513243633414407431874954459441763987456541744296333638144208617845394268472549533786402845194644294931944260423340853531405746934348339237504406534741833903

247545773670323848364516381840343733381348744882383950135358342833913439527743354753467349364965480440694855311963215203456546884537476339694638340844084766

3638539936883664498729005519289231915006

Marca de clase fi Fi Fi-1 fi+1 fi-1 Marca de clase * fi (marca de la clase -media)^2 (Xi-~X)^2*fi2487.5 4 4 3 9950 2587091.83687349 10348367.3472644.5 3 7 4 7 4 7933.5 2106689.44666811 6320068.342801.5 7 14 7 21 3 19610.5 1675585.05646274 11729095.3952958.5 21 35 14 19 7 62128.5 1293778.66625737 27169351.9913115.5 19 54 35 19 21 59194.5 961270.276052001 18264135.2453272.5 19 73 54 37 19 62177.5 678059.885846629 12883137.8313429.5 37 110 73 47 19 126891.5 444147.495641258 16433457.3393586.5 47 157 110 54 37 168565.5 259533.105435887 12198055.9553743.5 54 211 157 59 47 202149 124216.715230515 6707702.62243900.5 59 270 211 59 54 230129.5 38198.3250251442 2253701.17654057.5 59 329 270 66 59 239392.5 1477.93481977294 87198.1543674214.5 66 395 329 58 59 278157 14055.5446144017 927665.944554371.5 58 453 395 51 66 253547 75931.1544090304 4404006.95574528.5 51 504 453 41 58 230953.5 187104.764203659 9542342.97444685.5 41 545 504 29 51 192105.5 347576.373998288 14250631.3344842.5 29 574 545 24 41 140432.5 557345.983792917 16163033.534999.5 24 598 574 12 29 119988 816413.593587545 19593926.2465156.5 12 610 598 10 24 61878 1124779.20338217 13497350.4415313.5 10 620 610 6 12 53135 1482442.8131768 14824428.1325470.5 6 626 620 1 10 32823 1889404.42297143 11336426.5385627.5 1 627 626 3 6 5627.5 2345664.03276606 2345664.03285784.5 3 630 627 0 1 17353.5 2851221.64256069 8553664.92775941.5 0 630 630 1 3 0 3406077.25235532 06098.5 1 631 630 2 0 6098.5 4010230.86214995 4010230.86216255.5 2 633 631 1 12511 4663682.47194458 9327364.9439

Total 633 2592732.5 253171008.26

(2409-2566]

(2566-2723]

(2723-2880]

(2880-3037]

(3037-3194]

(3194-3351]

(3351-3508]

(3508-3665]

(3665-3822]

(3822-3979]

(3979-4136]

(4136-4293]

(4293-4450]

(4450-4607]

(4607-4764]

(4764-4921]

(4921-5078]

(5078-5235]

(5235-5392]

(5392-5549]

(5549-5706]

(5706-5863]

(5863-6020]

(6020-6177]

(6177-6334]

0

10

20

30

40

50

60

70



Frec

uenc

ia

(2409-2566]

(2566-2723]

(2723-2880]

(2880-3037]

(3037-3194]

(3194-3351]

(3351-3508]

(3508-3665]

(3665-3822]

(3822-3979]

(3979-4136]

(4136-4293]

(4293-4450]

(4450-4607]

(4607-4764]

(4764-4921]

(4921-5078]

(5078-5235]

(5235-5392]

(5392-5549]

(5549-5706]

(5706-5863]

(5863-6020]

(6020-6177]

(6177-6334]

0

10

20

30

40

50

60

70



Frec

uenc

ia

V Vivienda V fi Fi ni%1 No 0 229 229 36%0 Si 1 404 633 64%0 Total 633 100%110111 Media 0.638230651 Mediana 10 Moda 10 Varianza 0.230892291 Desviasion estandar 0.480512531101010011011011100011011

(2409-2566]

(2566-2723]

(2723-2880]

(2880-3037]

(3037-3194]

(3194-3351]

(3351-3508]

(3508-3665]

(3665-3822]

(3822-3979]

(3979-4136]

(4136-4293]

(4293-4450]

(4450-4607]

(4607-4764]

(4764-4921]

(4921-5078]

(5078-5235]

(5235-5392]

(5392-5549]

(5549-5706]

(5706-5863]

(5863-6020]

(6020-6177]

(6177-6334]

0

10

20

30

40

50

60

70



Frec

uenc

ia

36%

64%


No Si

111000111101101111011000011111001110101

(2409-2566]

(2566-2723]

(2723-2880]

(2880-3037]

(3037-3194]

(3194-3351]

(3351-3508]

(3508-3665]

(3665-3822]

(3822-3979]

(3979-4136]

(4136-4293]

(4293-4450]

(4450-4607]

(4607-4764]

(4764-4921]

(4921-5078]

(5078-5235]

(5235-5392]

(5392-5549]

(5549-5706]

(5706-5863]

(5863-6020]

(6020-6177]

(6177-6334]

0

10

20

30

40

50

60

70



Frec

uenc

ia

011110110010000110011111111111000100011

011111101011100010011010100101111100011

011010100010011101111110111110111101101

000111011101011111111100110011010111011

011100100001001101001101111011011111111

110101110010101101101101111111111011101

011100001111000101110101111101111101101

101011100001010100101110011001011111110

101111011111001010110011101110101110010

001011111001110101111101101100111101111

110111111110010101111101010011011101101

001111110111011011111110011101101101000

000111111100001011110010000110110011110

111101111110011101100001101101011111111

0011000111

Ni% A36% 1

100% 1101110100001001000010010010001010001

36%

64%


No Si

100010101101001101001000001000110110101

100010010000011000001100111100010000000

011100001100001100010000100000100000000

101000110010001000000010110011000001110

001011001011011001010100000110000011000

001100010001010000110101010000001101001

010000011101111001100100100111010100100

110011110100000100110010100100010011001

010011110110000010010010100001011011000

010010100111110010000100000001100011001

010000001001000110010110101100111000010

100000000001010000110101010000010010000

101001100111010010001111110110001011001

101100011001110000111000000000000010111

011111100001010001001000001011111001100

0011100001

Automóvil A fi Fi ni% Ni%No 0 387 387 61.14% 61.14%

Si 1 246 633 38.86% 100.00%Total 633 100%

Media 0.38862559Mediana 0Moda 0Varianza 0.23759574Desviasion estandar 0.48743794 61.14%

38.86%


No Si

O Computador personal A0 No 00 Si 10 Total000000 Media 0.105845180 Mediana 00 Moda 00 Varianza 0.094641980 Desviasion estandar 0.307639370000000000000000100000001

61.14%

38.86%


No Si

000000000000000000100001000000000000000

100000000000000100000000000000000100000

000000000000001000011000000000000101000

000000000000000000000000001000000000000

110010001000000000000000000001010100001

000000000000010001000000010001000000000

000011000000000100000000000010000110010

001001000100000100000000010000000011000

000000001000000001000000001000010000100

000000000000010010001000000000000000000

000000010000100000000100000001100001000

000000001000000000000000000000000000000

000100000010000000000000001000000000000

001000000000100001000000000000000000000

000000000000010100000000010000001000000

1000001001

fi Fi ni% Ni% M566 566 89.42% 89.42% 1

67 633 10.58% 100.00% 1633 100% 1

11112222222333333334444444445555555

89.42%

10.58%


No Si

66666667777777888899999999

10101010101010101011111111

111212121212131313131314141414141515151616161616161616161717171717171718181818

191919191920202020212121212222222222222222222222232323232424242424242424252525

252525252525252626272727272727282828282828282828282929293030303030303031313131

313132323333333333333334343434343434343535353535353536363636363636363637373737

373737373838383939393939404040404040404040404040404041414141414141424242434343

434343434343434343444444444444444545454545454545454646464646464646464647474747

484848484848484949495050505051515151515151525252525252525353535354545455555555

555556565657575757575858585858585858585858585859595959595959596060606060606061

616161616162626263636363636363646464646464646464646465656565656666666666666666

676767676767676767686969696969697070707071717171717272727272727373737373737374

747474747475757576767676767677777878787878787979797979797979808080808181818181

818182828282828282828383838383848484848585858585858586868687878787878787878888

888888888888898989898989898989909090909090919191919192929292929292929393939393

939394949494949494949494949595959595959696969696969696979797979797979898989898

9898999999999999

100100

Municipio fi Fi ni% Ni%1 7 7 1.11% 1.11%2 7 14 1.11% 2.21%3 8 22 1.26% 3.48%4 9 31 1.42% 4.90%5 7 38 1.11% 6.00%6 7 45 1.11% 7.11%7 7 52 1.11% 8.21%8 4 56 0.63% 8.85%9 8 64 1.26% 10.11%

10 9 73 1.42% 11.53%11 5 78 0.79% 12.32%12 5 83 0.79% 13.11%13 5 88 0.79% 13.90%14 5 93 0.79% 14.69%15 3 96 0.47% 15.17%16 9 105 1.42% 16.59%17 7 112 1.11% 17.69%18 4 116 0.63% 18.33%19 5 121 0.79% 19.12%20 4 125 0.63% 19.75%21 4 129 0.63% 20.38%22 11 140 1.74% 22.12%23 4 144 0.63% 22.75%24 8 152 1.26% 24.01%25 10 162 1.58% 25.59%26 2 164 0.32% 25.91%27 6 170 0.95% 26.86%28 10 180 1.58% 28.44%29 3 183 0.47% 28.91%30 7 190 1.11% 30.02%31 6 196 0.95% 30.96%32 2 198 0.32% 31.28%33 7 205 1.11% 32.39%34 8 213 1.26% 33.65%35 7 220 1.11% 34.76%36 9 229 1.42% 36.18%37 8 237 1.26% 37.44%38 3 240 0.47% 37.91%

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 67 69 71 73 75 77 79 81 83 85 87 89 91 93 95 97 99

0.00%

0.50%

1.00%

1.50%

2.00%

2.50%


Municipios

Porc

enta

je

39 5 245 0.79% 38.70%40 14 259 2.21% 40.92%41 7 266 1.11% 42.02%42 3 269 0.47% 42.50%43 12 281 1.90% 44.39%44 7 288 1.11% 45.50%45 9 297 1.42% 46.92%46 10 307 1.58% 48.50%47 4 311 0.63% 49.13%48 7 318 1.11% 50.24%49 3 321 0.47% 50.71%50 4 325 0.63% 51.34%51 7 332 1.11% 52.45%52 7 339 1.11% 53.55%53 4 343 0.63% 54.19%54 3 346 0.47% 54.66%55 6 352 0.95% 55.61%56 3 355 0.47% 56.08%57 5 360 0.79% 56.87%58 13 373 2.05% 58.93%59 8 381 1.26% 60.19%60 7 388 1.11% 61.30%61 6 394 0.95% 62.24%62 3 397 0.47% 62.72%63 7 404 1.11% 63.82%64 11 415 1.74% 65.56%65 5 420 0.79% 66.35%66 8 428 1.26% 67.61%67 9 437 1.42% 69.04%68 1 438 0.16% 69.19%69 6 444 0.95% 70.14%70 4 448 0.63% 70.77%71 5 453 0.79% 71.56%72 6 459 0.95% 72.51%73 7 466 1.11% 73.62%74 6 472 0.95% 74.57%75 3 475 0.47% 75.04%76 6 481 0.95% 75.99%77 2 483 0.32% 76.30%

78 6 489 0.95% 77.25%79 8 497 1.26% 78.52%80 4 501 0.63% 79.15%81 7 508 1.11% 80.25%82 8 516 1.26% 81.52%83 5 521 0.79% 82.31%84 4 525 0.63% 82.94%85 7 532 1.11% 84.04%86 3 535 0.47% 84.52%87 8 543 1.26% 85.78%88 8 551 1.26% 87.05%89 9 560 1.42% 88.47%90 6 566 0.95% 89.42%91 5 571 0.79% 90.21%92 8 579 1.26% 91.47%93 7 586 1.11% 92.58%94 11 597 1.74% 94.31%95 6 603 0.95% 95.26%96 8 611 1.26% 96.52%97 7 618 1.11% 97.63%98 7 625 1.11% 98.74%99 6 631 0.95% 99.68%

100 2 633 0.32% 100.00%Total 633 100.00%

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 67 69 71 73 75 77 79 81 83 85 87 89 91 93 95 97 99

0.00%

0.50%

1.00%

1.50%

2.00%

2.50%


Municipios

Porc

enta

je

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 67 69 71 73 75 77 79 81 83 85 87 89 91 93 95 97 99

0.00%

0.50%

1.00%

1.50%

2.00%

2.50%


Municipios

Porc

enta

je

NID PE ING AL AD V A O

1 4 47298 9336 4828 1 0 02 2 55049 10880 4589 0 1 03 2 52371 9752 6184 1 0 04 2 53344 10465 6383 0 0 05 2 51243 11572 4299 0 1 06 4 44914 9745 5599 1 0 07 3 45132 9150 4334 0 0 08 2 44147 9576 3663 1 1 09 3 44665 9362 3810 1 0 0

10 6 45658 8223 5080 1 1 011 4 46063 8314 3755 1 1 012 1 50378 10327 5075 1 0 013 4 46079 9967 5142 1 1 014 3 49426 9316 4376 1 1 015 2 47077 9582 4155 1 1 016 4 46589 9877 4873 1 1 017 4 44306 8447 5096 1 0 118 2 44014 9263 4382 1 0 019 3 46084 10677 3198 1 0 020 4 44493 8304 4165 1 0 021 1 44916 9182 2302 0 0 022 5 46106 9323 4981 1 0 023 3 46845 8734 5308 1 1 024 2 51473 9618 5475 0 0 025 2 44753 8646 4746 1 0 026 4 44893 9459 4360 1 1 127 4 45079 9687 6574 1 0 028 1 47192 10472 5857 1 0 029 3 45607 8968 5667 1 1 030 4 46370 9021 4299 0 0 031 2 45322 10152 4529 1 1 032 5 45401 8139 4114 1 0 033 2 46662 10592 5239 1 1 034 2 46105 10466 4004 0 0 035 4 47695 9252 5200 1 0 036 4 45978 9404 5308 0 0 037 3 47655 8917 5920 1 0 038 4 44468 8559 3966 0 0 039 2 44510 9742 4816 1 1 040 1 48492 10107 3719 1 1 1

41 3 47377 10061 4175 1 0 042 4 45419 9048 3745 0 0 043 3 50161 11480 5371 1 1 044 3 44262 8656 5269 1 0 045 3 46309 9587 5368 0 1 046 3 50132 9851 3822 0 1 047 1 52082 11613 3612 1 0 048 1 48979 9845 5538 1 1 049 4 48402 8637 3665 0 1 050 2 47102 9765 4542 1 1 051 2 46800 10098 4658 1 1 152 1 47429 11559 5310 0 0 053 4 45204 8664 4849 0 0 054 4 45330 8757 5030 1 1 155 4 49417 9277 3692 1 1 156 1 44998 8488 4144 1 0 057 1 44901 9784 4313 1 1 058 3 47436 9019 4888 1 1 059 4 49450 10222 4489 0 0 060 4 46666 9133 5199 1 1 061 4 45274 9095 4040 0 0 062 3 48097 8888 4592 1 0 163 3 48089 10060 4481 1 1 064 4 47318 9862 5333 1 1 065 1 45449 9687 4681 1 0 166 2 45414 10173 4864 1 0 167 1 45707 9737 4726 1 0 068 4 46410 8578 4537 1 1 069 4 48246 8924 5293 0 1 070 2 44316 8478 3759 1 1 071 1 46658 9170 5198 1 1 072 3 49361 9149 4214 1 0 173 4 46870 10367 4850 0 0 074 3 44105 8965 5267 1 1 175 2 45977 9486 4375 0 0 076 1 44367 9130 4178 0 1 077 5 46422 10065 4441 1 1 078 2 46216 9899 6186 0 0 079 5 45720 9764 5103 1 1 080 1 46825 9726 3774 0 0 081 4 49762 10910 4880 1 1 082 1 46490 10362 3952 1 0 0

83 4 46208 10066 4519 1 0 084 3 46898 10076 5645 1 0 085 4 47689 9364 4700 1 0 086 5 51582 10934 5506 1 0 087 1 44896 9774 4076 1 0 088 3 48991 10886 4228 1 1 089 2 46945 9146 4768 1 1 190 6 47188 8948 3655 1 1 091 5 46575 9040 4427 0 1 092 3 45901 9544 3405 0 0 093 1 48152 10021 4163 1 0 094 4 44308 8918 3881 0 0 095 2 54774 9613 4084 1 0 096 4 45478 9374 5251 1 0 097 1 46695 9829 4977 0 0 098 3 46332 9846 5604 0 1 099 4 46949 9153 4554 1 1 0

100 2 44708 8941 3474 1 0 0101 2 46201 10133 4729 0 1 0102 4 48307 11035 4136 1 0 0103 2 44631 9207 5288 1 1 0104 3 44115 9710 4304 0 0 0105 1 47606 10637 4286 1 1 0106 2 45420 9100 4543 0 1 0107 4 51478 9766 4887 0 0 0108 1 48384 9306 5904 1 0 0109 2 51783 9730 6333 1 1 0110 2 47048 9822 5282 0 1 0111 4 46346 9241 5074 1 0 0112 4 44699 9759 5024 0 0 1113 2 47639 9819 5387 1 0 0114 1 51988 11381 5398 0 1 0115 3 45570 8257 4872 0 0 0116 3 49722 8965 4182 1 1 0117 3 48721 9254 5302 1 1 0118 3 44220 8190 4401 1 0 1119 1 49331 10908 4748 0 0 0120 4 44943 8719 4575 0 1 0121 2 44085 10368 4507 1 1 0122 2 44530 8941 3759 0 1 0123 2 52149 11708 6205 1 0 0124 5 49936 9411 4738 1 0 1

125 4 50727 11238 4475 0 0 0126 4 44892 9852 5732 0 1 0127 5 48894 9647 6215 1 0 1128 2 44129 8924 5366 0 0 0129 3 53722 11271 5581 1 1 0130 2 44837 9461 4224 1 1 0131 4 47314 9441 5298 1 0 0132 4 44711 8483 5456 1 0 1133 1 44816 8477 4684 1 0 0134 3 50802 10775 5540 1 0 0135 2 51030 9447 4391 1 0 0136 1 46372 9663 4207 1 0 0137 1 44405 9434 4772 1 0 0138 4 45853 8530 4956 0 0 0139 2 44936 8520 4102 1 0 0140 5 46310 9568 5222 1 0 0141 2 45121 10623 4757 1 1 0142 3 44671 9083 4949 0 1 0143 3 51093 10711 5549 0 0 0144 2 47224 9714 4488 1 0 0145 2 46479 8348 4683 1 0 0146 5 44613 9887 5454 1 0 0147 1 44254 9094 4509 1 0 0148 4 44279 9135 3684 0 1 0149 1 45336 8440 5329 0 1 0150 1 47129 8889 5332 0 0 0151 3 46411 8452 3835 1 0 0152 1 45130 9910 3989 1 1 0153 3 45678 10849 3915 0 1 0154 2 46324 9328 5081 0 0 0155 3 45747 9146 5454 1 1 0156 3 53226 10965 5589 1 0 0157 1 46966 8899 4100 1 1 0158 4 48022 10183 4878 1 0 0159 3 45505 9502 5288 1 0 0160 4 46175 8497 5208 1 1 1161 3 44292 9290 5223 1 1 0162 3 46252 8491 4889 0 1 0163 4 49027 10543 4805 0 1 0164 4 48637 9994 6452 1 0 0165 4 46187 8285 3323 1 0 0166 5 44001 7512 4606 1 1 0

167 2 46791 9168 5042 1 1 1168 4 45672 8520 5032 0 0 0169 2 45244 8347 4946 1 0 0170 3 47039 9915 4129 1 1 0171 2 45132 9408 3981 0 0 0172 4 44962 9482 5015 1 0 0173 2 45053 8601 4294 0 0 0174 4 44527 7614 5362 1 0 0175 4 44419 8315 6462 1 0 0176 4 44614 8329 5406 1 0 1177 4 48354 10387 5102 1 1 0178 4 48688 9904 4883 0 1 1179 2 44565 9091 4289 1 0 0180 2 46550 9411 4135 1 0 0181 1 44779 9240 4824 1 1 0182 2 47597 10350 4022 0 1 0183 4 44070 8872 4519 1 0 0184 4 44128 8860 4169 1 1 0185 1 54576 11374 5685 1 1 0186 4 46780 8837 4967 0 1 0187 2 44410 9444 3677 0 0 0188 3 45018 8197 4499 0 1 0189 4 47729 10325 4724 1 1 0190 1 47787 8601 5356 1 1 0191 5 46877 8341 4959 0 1 0192 1 47705 10669 4438 1 0 1193 1 45200 9154 2702 1 0 0194 5 48075 9753 5056 1 1 0195 3 48244 9932 5355 0 1 1196 3 46498 8909 4958 0 0 0197 1 50531 8924 4579 1 0 0198 2 47974 9769 4754 1 1 0199 1 55118 10424 6990 1 0 0200 4 48708 9506 5930 1 0 0201 1 44482 8048 5015 1 1 0202 4 51606 10328 5368 1 0 0203 4 46634 9580 4618 0 0 0204 2 51969 11795 5613 1 0 1205 4 44188 8950 3389 0 0 0206 4 49818 9358 4440 0 1 0207 2 45772 10097 5045 0 0 0208 4 46327 10344 5212 1 1 0

209 3 46006 8357 4465 1 0 0210 1 45692 9492 4325 1 0 0211 6 44650 8946 3842 1 0 0212 2 48324 9922 3920 1 0 0213 2 48489 8645 5060 0 0 0214 2 45043 9826 4612 1 0 0215 1 49885 8754 5797 1 0 0216 1 45532 9469 5790 1 0 1217 3 47216 8585 5253 1 1 0218 2 47814 10428 4246 1 0 0219 2 44295 8864 4752 1 1 1220 2 45338 9552 3709 1 1 0221 1 46890 9266 5402 1 0 0222 1 45791 10396 5655 1 0 0223 4 44907 9892 4157 1 0 0224 3 45716 9320 3787 0 1 0225 1 44595 8973 4717 1 0 0226 1 44690 9138 4871 1 0 0227 2 44111 8985 3407 0 0 1228 4 44461 8796 4457 1 1 0229 2 44076 9475 5383 0 0 0230 3 51069 11280 4939 0 1 0231 1 45535 9024 4902 0 1 0232 2 46482 7796 4674 1 1 0233 4 46564 9713 4829 1 0 1234 2 47052 9350 5737 1 0 0235 1 44257 9921 5451 1 0 0236 4 44707 9239 3773 0 0 0237 3 50229 10545 6184 0 1 0238 1 44476 9542 5776 0 1 0239 1 50964 10135 5288 1 1 1240 3 46924 8774 5179 0 1 0241 4 46794 10192 5981 0 1 0242 1 44991 7782 4121 0 0 0243 3 45305 8298 4948 0 1 0244 1 45265 10159 3924 1 0 0245 3 44347 9761 5551 0 0 0246 2 44340 8969 4922 0 1 0247 2 45076 7924 4690 1 1 0248 1 46947 10649 3818 0 0 0249 2 45665 8678 4739 0 1 0250 4 46492 10173 4190 0 1 0

251 6 44227 9623 3987 1 0 0252 1 47945 9084 4431 1 1 0253 3 46974 10197 5301 0 0 0254 5 45449 9731 2964 1 0 0255 3 55379 11575 5700 0 0 0256 4 46520 9253 4944 1 1 0257 6 50273 8675 5190 0 0 0258 2 47392 9824 4299 1 1 0259 3 45693 9233 4896 0 0 0260 2 46969 9706 5125 1 0 0261 1 53049 9230 4863 0 1 0262 2 46606 8354 5659 0 1 0263 3 47826 9482 4839 0 0 0264 3 48484 8560 5017 0 0 0265 2 46539 9548 4677 0 0 1266 6 45221 9332 3047 1 0 0267 3 45132 10377 4137 1 0 0268 4 44129 9320 4582 1 0 0269 2 44176 8902 4369 0 0 0270 3 49053 10022 4596 0 1 0271 3 47643 8897 4702 1 0 0272 5 48640 10286 4302 1 0 0273 5 48380 8974 4229 0 1 1274 4 44907 8840 3407 1 0 0275 2 45648 8791 4733 0 1 0276 2 45131 10281 4450 1 1 1277 2 45513 7953 4168 1 1 0278 4 44480 8243 5096 0 0 0279 4 47904 9131 5174 1 1 0280 4 46768 9353 3647 1 0 0281 3 47208 8490 4083 1 0 0282 3 48700 8939 4829 0 0 1283 3 47368 8794 5121 0 0 0284 2 45474 9848 4938 0 1 0285 4 48589 9255 4763 0 1 0286 4 45333 9692 4795 1 0 0287 4 44264 8565 3908 1 1 0288 5 45047 8791 4586 1 0 0289 2 47236 10577 4388 1 1 0290 2 47278 10309 5533 1 1 0291 4 44565 9185 4084 0 0 0292 1 45225 9621 4311 1 0 0

293 5 46212 8429 4445 1 1 0294 2 45773 9403 3695 1 1 0295 4 46408 10806 4251 0 1 1296 4 46024 8777 4545 1 0 0297 2 48181 9664 4269 1 0 0298 4 51806 11206 4232 0 0 0299 2 47640 10366 5259 0 0 0300 5 44731 9079 4807 1 0 0301 1 44967 9262 4310 0 0 1302 5 45990 8875 5576 1 0 0303 5 48066 10015 5314 1 0 0304 5 46296 9443 4422 1 1 1305 1 45003 9727 4903 1 0 0306 2 44192 9409 4129 1 1 0307 1 45630 8898 5495 1 0 0308 4 45382 9851 5539 0 1 1309 4 45452 8457 4507 1 1 0310 2 44054 9076 4496 0 0 0311 3 46968 9587 4590 0 1 0312 1 48903 10500 4662 1 0 0313 3 46806 9471 3826 0 0 0314 1 47933 10159 4214 0 0 0315 4 46137 8554 5425 1 1 0316 2 46258 8861 4974 1 1 0317 3 44690 9005 4101 1 1 0318 1 45881 9207 4590 1 1 0319 5 45158 9276 5609 0 0 0320 2 49328 10257 4259 0 0 0321 4 44870 8345 5630 1 0 0322 4 44415 9371 3914 1 0 0323 2 47921 10290 3186 1 1 0324 3 47023 10047 4528 0 0 0325 3 54593 10863 4511 0 0 1326 4 47199 9503 5914 0 0 0327 4 44520 9360 3656 1 1 0328 5 44197 8083 4964 0 0 0329 3 47600 8972 5615 1 0 0330 1 47932 9627 4708 1 0 0331 1 48293 9232 4239 0 1 0332 1 48040 9632 4530 1 1 0333 2 44806 8315 4707 1 1 0334 2 48139 10886 5241 0 0 0

335 2 49711 9811 4436 1 1 0336 3 47818 10883 3785 1 1 0337 1 46953 8603 3961 0 0 1338 3 46774 10251 5258 0 1 0339 1 47678 9348 4680 1 0 0340 4 44735 9116 4612 0 1 0341 5 44948 8951 4155 1 1 0342 1 46111 8882 3877 1 0 0343 2 47405 9804 5384 1 1 0344 5 50421 10421 4213 1 0 0345 3 44192 9686 4443 1 1 0346 2 47577 10474 4183 1 0 0347 6 45053 9182 4643 1 1 0348 2 47127 9026 4354 0 0 0349 5 51224 10850 5270 1 0 0350 5 51082 9819 5265 1 0 0

M ESTADÍSTICA Y PROBABILIDADES1 BASE DE DATOS PARA EL TRABAJO DEL SEMESTRE1112 Para las variables PE, número de personas en la familia e ING, ingresos familiares anuales

3 a) Caracterice las variables, es decir indique si se trata de una variable cualitativa o cuantitativa,

3 si es discreta o continua y en qué escala de medición está.

3 b) Agrupe cada una de las variables de acuerdo con las sugerencias dadas para tal fin.

4 Elabore el histograma de frecuencias

4 c) Calcule e interprete las medidas de tendencia central y de dispersión para cada variable.

4 d) Elabore un diagrama de caja para cada variable e indique, de acuerdo con el diagrama, la forma de la

4 distribución, cuál variable presenta mayor concentración o menor dispersión y determine las

4 observaciones atípicas.

455 ENCUESTA DE HOGARES6666677777778999

1010101010101011










121213131313131313151515151515151516161617171818181818191919191919191919202020202121

212222222222232324242525252526262626262627272727282828282830303031313131313132323233

333334343434343435363737373737383839393939404040414142424242424243434344444545454546

464646464647474747484848484949495050515151515252525252525253535354545454545555555555

565656575757585858586060606061616162626363636464646465656666676767676768686868696969

697070707070717171727272727272727373737374757676767676777777777878787879797979808181

818182828383848484848585858585868687878888888890909090909191919293939394949495959596

969797979797989899999999

100100100100

ESTADÍSTICA Y PROBABILIDADESBASE DE DATOS PARA EL TRABAJO DEL SEMESTRE

Para las variables PE, número de personas en la familia e ING, ingresos familiares anuales

a) Caracterice las variables, es decir indique si se trata de una variable cualitativa o cuantitativa,

b) Agrupe cada una de las variables de acuerdo con las sugerencias dadas para tal fin.

c) Calcule e interprete las medidas de tendencia central y de dispersión para cada variable.

d) Elabore un diagrama de caja para cada variable e indique, de acuerdo con el diagrama, la forma de la

distribución, cuál variable presenta mayor concentración o menor dispersión y determine las

PE PE fi Fi ni% Ni%4 1 67 67 19.14% 19.14%2 2 88 155 25.14% 44.29%2 3 69 224 19.71% 64.00%2 4 91 315 26.00% 90.00%2 5 28 343 8.00% 98.00%4 6 7 350 2.00% 100.00%3 Total 350 100.00%23 Media 2.845714296 Mediana 34 Moda 41 Varianza 1.753338784 Desviasion estandar 1.324136993244234153224413425224434213

1 2 3 4 5 60

102030405060708090

100



Frec

uenc

ia

433331142214441134443341214421343215251414

345132653142413422423124122442133331422254

452324413211425233225141131323314343344452

423242444442212441423415115331214144244243

162221132221143112423124214311341313221246

135346232123326342335542224443332444522415

244242515551214423131423152442334453111222

313145125326255

ING N 350 Ref Li47298 Maximo 55379 1 0 4400155049 Minimo 44001 2 0 4460052371 Amplitud 11378 3 0 4519953344 Numero de clases 19 4 1 4579851243 Rango de la clase 599 5 0 4639744914 N/2 175 6 0 4699645132 Li N/2 45798 7 0 4759544147 fi N/2 32 8 0 4819444665 fi-1 N/2 44 9 0 4879345658 fi+1 N/2 43 10 0 4939246063 Fi-1 N/2 144 11 0 4999150378 Media 46838.5486 12 0 5059046079 Mediana 46378.2813 13 0 5118949426 Moda 46110.5217 14 0 5178847077 Varianza 5391566.43 15 0 5238746589 Desviación estandar 2321.97468 16 0 5298644306 17 0 5358544014 18 0 5418446084 19 0 5478344493 Total

449164610646845514734475344893450794719245607463704532245401466624610547695459784765544468445104849247377

1 2 3 4 5 60

102030405060708090

100



Frec

uenc

ia

(44001-44600]

(44600-45199]

(45199-45798]

(45798-46397]

(46397-46996]

(46996-47595]

(47595-48194]

(48194-48793]

(48793-49392]

(49392-49991]

(49991-50590]

(50590-51189]

(51189-51788]

(51788-52387]

(52387-52986]

(52986-53585]

(53585-54184]

(54184-54783]

(54783-55382]

0

10

20

30

40

50

60



Frec

uenc

ia

454195016144262463095013252082489794840247102468004742945204453304941744998449014743649450466664527448097480894731845449454144570746410482464431646658493614687044105459774436746422462164572046825497624649046208

(44001-44600]

(44600-45199]

(45199-45798]

(45798-46397]

(46397-46996]

(46996-47595]

(47595-48194]

(48194-48793]

(48793-49392]

(49392-49991]

(49991-50590]

(50590-51189]

(51189-51788]

(51788-52387]

(52387-52986]

(52986-53585]

(53585-54184]

(54184-54783]

(54783-55382]

0

10

20

30

40

50

60



Frec

uenc

ia

468984768951582448964899146945471884657545901481524430854774454784669546332469494470846201483074463144115476064542051478483845178347048463464469947639519884557049722487214422049331449434408544530521494993650727

448924889444129537224483747314447114481650802510304637244405458534493646310451214467151093472244647944613442544427945336471294641145130456784632445747532264696648022455054617544292462524902748637461874400146791

456724524447039451324496245053445274441944614483544868844565465504477947597440704412854576467804441045018477294778746877477054520048075482444649850531479745511848708444825160646634519694418849818457724632746006

456924465048324484894504349885455324721647814442954533846890457914490745716445954469044111444614407651069455354648246564470524425744707502294447650964469244679444991453054526544347443404507646947456654649244227

479454697445449553794652050273473924569346969530494660647826484844653945221451324412944176490534764348640483804490745648451314551344480479044676847208487004736845474485894533344264450474723647278445654522546212

457734640846024481815180647640447314496745990480664629645003441924563045382454524405446968489034680647933461374625844690458814515849328448704441547921470235459347199445204419747600479324829348040448064813949711

478184695346774476784473544948461114740550421441924757745053471275122451082

Ls Clases Marca de cla fi Fi Fi-1 fi+1 fi-144600 (44001-44600] 44300.5 50 50 5045199 (44600-45199] 44899.5 50 100 50 44 5045798 (45199-45798] 45498.5 44 144 100 32 5046397 (45798-46397] 46097.5 32 176 144 43 4446996 (46397-46996] 46696.5 43 219 176 26 3247595 (46996-47595] 47295.5 26 245 219 31 4348194 (47595-48194] 47894.5 31 276 245 19 2648793 (48194-48793] 48493.5 19 295 276 9 3149392 (48793-49392] 49092.5 9 304 295 9 1949991 (49392-49991] 49691.5 9 313 304 7 950590 (49991-50590] 50290.5 7 320 313 7 951189 (50590-51189] 50889.5 7 327 320 7 751788 (51189-51788] 51488.5 7 334 327 6 752387 (51788-52387] 52087.5 6 340 334 0 752986 (52387-52986] 52686.5 0 340 340 3 653585 (52986-53585] 53285.5 3 343 340 1 054184 (53585-54184] 53884.5 1 344 343 3 354783 (54184-54783] 54483.5 3 347 344 3 155382 (54783-55382] 55082.5 3 350 347 3

Total 350

(44001-44600]

(44600-45199]

(45199-45798]

(45798-46397]

(46397-46996]

(46996-47595]

(47595-48194]

(48194-48793]

(48793-49392]

(49392-49991]

(49991-50590]

(50590-51189]

(51189-51788]

(51788-52387]

(52387-52986]

(52986-53585]

(53585-54184]

(54184-54783]

(54783-55382]

0

10

20

30

40

50

60



Frec

uenc

ia

(44001-44600]

(44600-45199]

(45199-45798]

(45798-46397]

(46397-46996]

(46996-47595]

(47595-48194]

(48194-48793]

(48793-49392]

(49392-49991]

(49991-50590]

(50590-51189]

(51189-51788]

(51788-52387]

(52387-52986]

(52986-53585]

(53585-54184]

(54184-54783]

(54783-55382]

0

10

20

30

40

50

60



Frec

uenc

ia

Marca de clase * fi (marca de la clase -media)^2 (Xi-~X)^2*fi AL2215025 6441690.55093059 322084528 93362244975 3759909.36235917 187995468 108802001934 1795730.17378775 79012127.6 97521475120 549152.985216321 17572895.5 10465

2007949.5 20177.7966448969 867645.256 115721229683 208804.608073473 5428919.81 9745

1484729.5 1115033.41950205 34566036 9150921376.5 2738864.23093062 52038420.4 9576441832.5 5080297.0423592 45722673.4 9362447223.5 8139331.85378778 73253986.7 8223352033.5 11915968.6652164 83411780.7 8314356226.5 16410207.4766449 114871452 10327360419.5 21622048.2880735 151354338 9967

312525 27551491.0995021 165308947 93160 34198535.9109307 0 9582

159856.5 41563182.7223592 124689548 987753884.5 49645431.5337878 49645431.5 8447

163450.5 58445282.3452164 175335847 9263165247.5 67962735.156645 203888205 10677

16393492 1887048250 83049182932387349618864694599687

1047289689021

101528139

1059210466

92529404891785599742

1010710061

(44001-44600]

(44600-45199]

(45199-45798]

(45798-46397]

(46397-46996]

(46996-47595]

(47595-48194]

(48194-48793]

(48793-49392]

(49392-49991]

(49991-50590]

(50590-51189]

(51189-51788]

(51788-52387]

(52387-52986]

(52986-53585]

(53585-54184]

(54184-54783]

(54783-55382]

0

10

20

30

40

50

60



Frec

uenc

ia

904811480

865695879851

11613984586379765

1009811559

866487579277848897849019

10222913390958888

1006098629687

10173973785788924847891709149

10367896594869130

10065989997649726

109101036210066

(44001-44600]

(44600-45199]

(45199-45798]

(45798-46397]

(46397-46996]

(46996-47595]

(47595-48194]

(48194-48793]

(48793-49392]

(49392-49991]

(49991-50590]

(50590-51189]

(51189-51788]

(51788-52387]

(52387-52986]

(52986-53585]

(53585-54184]

(54184-54783]

(54783-55382]

0

10

20

30

40

50

60



Frec

uenc

ia

100769364

109349774

108869146894890409544

100218918961393749829984691538941

1013311035

92079710

1063791009766930697309822924197599819

113818257896592548190

109088719

103688941

117089411

11238

985296478924

112719461944184838477

10775944796639434853085209568

106239083

10711971483489887909491358440888984529910

1084993289146

109658899

101839502849792908491

105439994828575129168

852083479915940894828601761483158329

103879904909194119240

1035088728860

11374883794448197

1032586018341

10669915497539932890989249769

1042495068048

103289580

1179589509358

1009710344

8357

94928946992286459826875494698585

10428886495529266

103969892932089739138898587969475

11280902477969713935099219239

105459542

101358774

1019277828298

10159976189697924

106498678

101739623

908410197

973111575

92538675982492339706923083549482856095489332

1037793208902

100228897

10286897488408791

10281795382439131935384908939879498489255969285658791

1057710309

918596218429

940310806

87779664

1120610366

907992628875

1001594439727940988989851845790769587

105009471

1015985548861900592079276

1025783459371

102901004710863

95039360808389729627923296328315

108869811

108838603

1025193489116895188829804

104219686

1047491829026

108509819

N 350 Ref Li Ls Clases Marca de claseMaximo 11795 1 0 7512 7738 (7512-7738] 7625Minimo 7512 2 0 7738 7964 (7738-7964] 7851Amplitud 4283 3 0 7964 8190 (7964-8190] 8077Numero de clases 19 4 0 8190 8416 (8190-8416] 8303Rango de la clase 226 5 0 8416 8642 (8416-8642] 8529N/2 175 6 0 8642 8868 (8642-8868] 8755Li N/2 9320 7 0 8868 9094 (8868-9094] 8981fi N/2 38 8 0 9094 9320 (9094-9320] 9207fi-1 N/2 41 9 1 9320 9546 (9320-9546] 9433fi+1 N/2 40 10 0 9546 9772 (9546-9772] 9659Fi-1 N/2 157 11 0 9772 9998 (9772-9998] 9885Media 9491.1142857 12 0 9998 10224 (9998-10224] 10111Mediana 9427.0526316 13 0 10224 10450 (10224-10450] 10337Moda 9455.6 14 0 10450 10676 (10450-10676] 10563Varianza 639012.87837 15 0 10676 10902 (10676-10902] 10789Desviación estandar 799.3828109 16 0 10902 11128 (10902-11128] 11015

17 0 11128 11354 (11128-11354] 1124118 0 11354 11580 (11354-11580] 1146719 0 11580 11806 (11580-11806] 11693

Total

(7512-7738]

(7738-7964]

(7964-8190]

(8190-8416]

(8416-8642]

(8642-8868]

(8868-9094]

(9094-9320]

(9320-9546]

(9546-9772]

(9772-9998]

(9998-10224]

(10224-10450]

(10450-10676]

(10676-10902]

(10902-11128]

(11128-11354]

(11354-11580]

(11580-11806]

0

5

10

15

20

25

30

35

40

45

50



Frec

uenc

ia

(7512-7738]

(7738-7964]

(7964-8190]

(8190-8416]

(8416-8642]

(8642-8868]

(8868-9094]

(9094-9320]

(9320-9546]

(9546-9772]

(9772-9998]

(9998-10224]

(10224-10450]

(10450-10676]

(10676-10902]

(10902-11128]

(11128-11354]

(11354-11580]

(11580-11806]

0

5

10

15

20

25

30

35

40

45

50


Rangos de Gastos de alimentación anualFr

ecue

ncia

fi Fi Fi-1 fi+1 fi-1 Marca de clase * fi (marca de la clase -media)^2 (Xi-~X)^2*fi2 2 4 15250 3482382.52734694 6964765.05474 6 2 4 2 31404 2689974.87020408 10759899.4814 10 6 17 4 32308 1999719.21306123 7998876.8522

17 27 10 25 4 141151 1411615.55591837 23997464.45125 52 27 21 17 213225 925663.898775511 23141597.46921 73 52 43 25 183855 541864.241632653 11379149.07443 116 73 41 21 386183 260216.584489796 11189313.13341 157 116 38 43 377487 80720.9273469389 3309558.021238 195 157 40 41 358454 3377.27020408165 128336.2677640 235 195 29 38 386360 28185.6130612244 1127424.522429 264 235 23 40 286665 155145.955918367 4499232.721623 287 264 21 29 232553 384258.29877551 8837940.871821 308 287 13 23 217077 715522.641632653 15025975.47413 321 308 11 21 137319 1148938.9844898 14936206.79811 332 321 5 13 118679 1684507.32734694 18529580.601

5 337 332 4 11 55075 2322227.67020408 11611138.3514 341 337 6 5 44964 3062100.01306122 12248400.0526 347 341 3 4 68802 3904124.35591837 23424746.1363 350 347 6 35079 4848300.69877551 14544902.096

350 3321890 223654507.43

(7512-7738]

(7738-7964]

(7964-8190]

(8190-8416]

(8416-8642]

(8642-8868]

(8868-9094]

(9094-9320]

(9320-9546]

(9546-9772]

(9772-9998]

(9998-10224]

(10224-10450]

(10450-10676]

(10676-10902]

(10902-11128]

(11128-11354]

(11354-11580]

(11580-11806]

0

5

10

15

20

25

30

35

40

45

50



Frec

uenc

ia

(7512-7738]

(7738-7964]

(7964-8190]

(8190-8416]

(8416-8642]

(8642-8868]

(8868-9094]

(9094-9320]

(9320-9546]

(9546-9772]

(9772-9998]

(9998-10224]

(10224-10450]

(10450-10676]

(10676-10902]

(10902-11128]

(11128-11354]

(11354-11580]

(11580-11806]

0

5

10

15

20

25

30

35

40

45

50



Frec

uenc

ia

AD N 350 Ref Li Ls Clases4828 Maximo 6990 1 0 2302 2549 (2302-2549]4589 Minimo 2302 2 0 2549 2796 (2549-2796]6184 Amplitud 4688 3 0 2796 3043 (2796-3043]6383 Numero de clases 19 4 0 3043 3290 (3043-3290]4299 Rango de la clase 247 5 0 3290 3537 (3290-3537]5599 N/2 175 6 0 3537 3784 (3537-3784]4334 Li N/2 4525 7 0 3784 4031 (3784-4031]3663 fi N/2 50 8 0 4031 4278 (4031-4278]3810 fi-1 N/2 46 9 0 4278 4525 (4278-4525]5080 fi+1 N/2 43 10 1 4525 4772 (4525-4772]3755 Fi-1 N/2 140 11 0 4772 5019 (4772-5019]5075 Media 4719.77714 12 0 5019 5266 (5019-5266]5142 Mediana 4697.9 13 0 5266 5513 (5266-5513]4376 Moda 4614.81818 14 0 5513 5760 (5513-5760]4155 Varianza 483863.126 15 0 5760 6007 (5760-6007]4873 Desviación estandar 695.602707 16 0 6007 6254 (6007-6254]5096 17 0 6254 6501 (6254-6501]4382 18 0 6501 6748 (6501-6748]3198 19 0 6748 6995 (6748-6995]4165 Total

230249815308547547464360657458575667429945294114523940045200530859203966481637194175

(2302-2549]

(2549-2796]

(2796-3043]

(3043-3290]

(3290-3537]

(3537-3784]

(3784-4031]

(4031-4278]

(4278-4525]

(4525-4772]

(4772-5019]

(5019-5266]

(5266-5513]

(5513-5760]

(5760-6007]

(6007-6254]

(6254-6501]

(6501-6748]

(6748-6995]

0

10

20

30

40

50

60



Frec

uenc

ia

374553715269536838223612553836654542465853104849503036924144431348884489519940404592448153334681486447264537529337595198421448505267437541784441618651033774488039524519

(2302-2549]

(2549-2796]

(2796-3043]

(3043-3290]

(3290-3537]

(3537-3784]

(3784-4031]

(4031-4278]

(4278-4525]

(4525-4772]

(4772-5019]

(5019-5266]

(5266-5513]

(5513-5760]

(5760-6007]

(6007-6254]

(6254-6501]

(6501-6748]

(6748-6995]

0

10

20

30

40

50

60



Frec

uenc

ia

564547005506407642284768365544273405416338814084525149775604455434744729413652884304428645434887590463335282507450245387539848724182530244014748457545073759620547384475

573262155366558142245298545646845540439142074772495641025222475749495549448846835454450936845329533238353989391550815454558941004878528852085223488948056452332346065042

503249464129398150154294536264625406510248834289413548244022451941695685496736774499472453564959443827025056535549584579475469905930501553684618561333894440504552124465

432538423920506046125797579052534246475237095402565541573787471748713407445753834939490246744829573754513773618457765288517959814121494839245551492246903818473941903987

443153012964570049445190429948965125486356594839501746773047413745824369459647024302422934074733445041685096517436474083482951214938476347953908458643885533408443114445

369542514545426942325259480743105576531444224903412954955539450744964590466238264214542549744101459056094259563039143186452845115914365649645615470842394530470752414436

378539615258468046124155387753844213444341834643435452705265

Marca de clase fi Fi Fi-1 fi+1 fi-1 Marca de clase * fi (marca de la clase -media)^22425.5 1 1 1 2425.5 5263707.608236742672.5 1 2 1 1 1 2672.5 4191343.699665312919.5 1 3 2 3 1 2919.5 3240997.791093883166.5 3 6 3 6 1 9499.5 2412669.882522453413.5 6 12 6 18 3 20481 1706359.973951023660.5 18 30 12 23 6 65889 1122068.065379593907.5 23 53 30 41 18 89872.5 659794.1568081644154.5 41 94 53 46 23 170334.5 319538.2482367354401.5 46 140 94 50 41 202469 101300.3396653064648.5 50 190 140 43 46 232425 5080.43109387764895.5 43 233 190 35 50 210506.5 30878.52252244895142.5 35 268 233 39 43 179987.5 178694.613951025389.5 39 307 268 23 35 210190.5 448528.7053795915636.5 23 330 307 9 39 129639.5 840380.7968081635883.5 9 339 330 5 23 52951.5 1354250.888236736130.5 5 344 339 4 9 30652.5 1990138.979665316377.5 4 348 344 1 5 25510 2748045.071093886624.5 1 349 348 1 4 6624.5 3627969.162522456871.5 1 350 349 1 6871.5 4629911.25395102

Total 350 1651922

(2302-2549]

(2549-2796]

(2796-3043]

(3043-3290]

(3290-3537]

(3537-3784]

(3784-4031]

(4031-4278]

(4278-4525]

(4525-4772]

(4772-5019]

(5019-5266]

(5266-5513]

(5513-5760]

(5760-6007]

(6007-6254]

(6254-6501]

(6501-6748]

(6748-6995]

0

10

20

30

40

50

60



Frec

uenc

ia

(2302-2549]

(2549-2796]

(2796-3043]

(3043-3290]

(3290-3537]

(3537-3784]

(3784-4031]

(4031-4278]

(4278-4525]

(4525-4772]

(4772-5019]

(5019-5266]

(5266-5513]

(5513-5760]

(5760-6007]

(6007-6254]

(6254-6501]

(6501-6748]

(6748-6995]

0

10

20

30

40

50

60



Frec

uenc

ia

(Xi-~X)^2*fi V Vivienda V fi Fi5263707.6082 1 No 0 126 1264191343.6997 0 Si 1 224 3503240997.7911 1 Total 3507238009.6476 010238159.844 020197225.177 115175265.607 013101068.178 14659815.6246 1 Media 0.64254021.55469 1 Mediana 11327776.4685 1 Moda 16254311.4883 1 Varianza 0.2304

17492619.51 1 Desviasion estandar 0.4819328758.327 112188257.994 19950694.8983 110992180.284 13627969.1625 1

4629911.254 1169352094.12 1

011011111011101010111

(2302-2549]

(2549-2796]

(2796-3043]

(3043-3290]

(3290-3537]

(3537-3784]

(3784-4031]

(4031-4278]

(4278-4525]

(4525-4772]

(4772-5019]

(5019-5266]

(5266-5513]

(5513-5760]

(5760-6007]

(6007-6254]

(6254-6501]

(6501-6748]

(6748-6995]

0

10

20

30

40

50

60



Frec

uenc

ia

36%

64%


No Si

011001101100111110101111111011101001010111

(2302-2549]

(2549-2796]

(2796-3043]

(3043-3290]

(3290-3537]

(3537-3784]

(3784-4031]

(4031-4278]

(4278-4525]

(4525-4772]

(4772-5019]

(5019-5266]

(5266-5513]

(5513-5760]

(5760-6007]

(6007-6254]

(6254-6501]

(6501-6748]

(6748-6995]

0

10

20

30

40

50

60



Frec

uenc

ia

111111100101100110110100110101001110010110

010111111111011100111100011001111111001111

011010111101110111000110111001111110100011

111011111111110110100011110001000010010001

101010101000001110011010110111000011111011

101100101111110100100111100111000101101101

100101111111011

ni% Ni% A36% 36% 064% 100% 1

100% 001001011011110000001001001010100000110

36%

64%


No Si

010110111100110110100110001111001011010100

000011110000001101010110011000101100111000

100110000000000110000011001101010011110011

001000000110011011101111001100100100001010

000000010110001000101110000111110100110110

100010100110000000100101110100001101011001

110000000010101101000111100001000100011101

101011010101000

Automóvil A fi Fi ni% Ni%No 0 199 199 56.86% 56.86%

Si 1 151 350 43.14% 100.00%Total 350 100%

Media 0.43142857Mediana 0Moda 0Varianza 0.24529796Desviasion estandar 0.49527564

56.86%

43.14%


No Si

O Computador personal A0 No 00 Si 10 Total000000 Media 0.111428570 Mediana 00 Moda 00 Varianza 0.099012240 Desviasion estandar 0.314662110001000000001000000000000010

56.86%

43.14%


No Si

000000000100110000001001100000101000000000

000001000000000000000000000010000010000010

010000100000000000000000000000000010000001

000000001010000000000000100100000000100000

000000100100000001000001000001000000000000

000000000000010000000100100000100000000000

010000010010001000000000000000010000000000

010000000000000

fi Fi ni% Ni% M311 311 88.86% 88.86% 1

39 350 11.14% 100.00% 1350 100% 1

12333444444556666677777778999

101010101010101112

88.86%

11.14%


No Si

121313131313131315151515151515151616161717181818181819191919191919191920202020212121

222222222223232424252525252626262626262727272728282828283030303131313131313232323333

333434343434343536373737373738383939393940404041414242424242424343434444454545454646

464646464747474748484848494949505051515151525252525252525353535454545454555555555556

565657575758585858606060606161616262636363646464646565666667676767676868686869696969

707070707071717172727272727272737373737475767676767677777777787878787979797980818181

818282838384848484858585858586868787888888889090909090919191929393939494949595959696

9797979797989899999999

100100100100

Municipio fi Fi ni% Ni%1 4 4 1.14% 1.14%2 1 5 0.29% 1.43%3 3 8 0.86% 2.29%4 6 14 1.71% 4.00%5 2 16 0.57% 4.57%6 5 21 1.43% 6.00%7 7 28 2.00% 8.00%8 1 29 0.29% 8.29%9 3 32 0.86% 9.14%

10 7 39 2.00% 11.14%11 1 40 0.29% 11.43%12 2 42 0.57% 12.00%13 7 49 2.00% 14.00%14 0 49 0.00% 14.00%15 8 57 2.29% 16.29%16 3 60 0.86% 17.14%17 2 62 0.57% 17.71%18 5 67 1.43% 19.14%19 9 76 2.57% 21.71%20 4 80 1.14% 22.86%21 3 83 0.86% 23.71%22 5 88 1.43% 25.14%23 2 90 0.57% 25.71%24 2 92 0.57% 26.29%25 4 96 1.14% 27.43%26 6 102 1.71% 29.14%27 4 106 1.14% 30.29%28 5 111 1.43% 31.71%29 0 111 0.00% 31.71%30 3 114 0.86% 32.57%31 6 120 1.71% 34.29%32 3 123 0.86% 35.14%33 3 126 0.86% 36.00%34 6 132 1.71% 37.71%35 1 133 0.29% 38.00%36 1 134 0.29% 38.29%37 5 139 1.43% 39.71%38 2 141 0.57% 40.29%39 4 145 1.14% 41.43%40 3 148 0.86% 42.29%41 2 150 0.57% 42.86%

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 67 69 71 73 75 77 79 81 83 85 87 89 91 93 95 97 99

0.00%

0.50%

1.00%

1.50%

2.00%

2.50%

3.00%


Municipios

Porc

enta

je

42 6 156 1.71% 44.57%43 3 159 0.86% 45.43%44 2 161 0.57% 46.00%45 4 165 1.14% 47.14%46 6 171 1.71% 48.86%47 4 175 1.14% 50.00%48 4 179 1.14% 51.14%49 3 182 0.86% 52.00%50 2 184 0.57% 52.57%51 4 188 1.14% 53.71%52 7 195 2.00% 55.71%53 3 198 0.86% 56.57%54 5 203 1.43% 58.00%55 5 208 1.43% 59.43%56 3 211 0.86% 60.29%57 3 214 0.86% 61.14%58 4 218 1.14% 62.29%59 0 218 0.00% 62.29%60 4 222 1.14% 63.43%61 3 225 0.86% 64.29%62 2 227 0.57% 64.86%63 3 230 0.86% 65.71%64 4 234 1.14% 66.86%65 2 236 0.57% 67.43%66 2 238 0.57% 68.00%67 5 243 1.43% 69.43%68 4 247 1.14% 70.57%69 4 251 1.14% 71.71%70 5 256 1.43% 73.14%71 3 259 0.86% 74.00%72 7 266 2.00% 76.00%73 4 270 1.14% 77.14%74 1 271 0.29% 77.43%75 1 272 0.29% 77.71%76 5 277 1.43% 79.14%77 4 281 1.14% 80.29%78 4 285 1.14% 81.43%79 4 289 1.14% 82.57%80 1 290 0.29% 82.86%81 4 294 1.14% 84.00%82 2 296 0.57% 84.57%83 2 298 0.57% 85.14%

84 4 302 1.14% 86.29%85 5 307 1.43% 87.71%86 2 309 0.57% 88.29%87 2 311 0.57% 88.86%88 4 315 1.14% 90.00%89 0 315 0.00% 90.00%90 5 320 1.43% 91.43%91 3 323 0.86% 92.29%92 1 324 0.29% 92.57%93 3 327 0.86% 93.43%94 3 330 0.86% 94.29%95 3 333 0.86% 95.14%96 2 335 0.57% 95.71%97 5 340 1.43% 97.14%98 2 342 0.57% 97.71%99 4 346 1.14% 98.86%

100 4 350 1.14% 100.00%Total 350 100.00%

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 67 69 71 73 75 77 79 81 83 85 87 89 91 93 95 97 99

0.00%

0.50%

1.00%

1.50%

2.00%

2.50%

3.00%


Municipios

Porc

enta

je

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 67 69 71 73 75 77 79 81 83 85 87 89 91 93 95 97 99

0.00%

0.50%

1.00%

1.50%

2.00%

2.50%

3.00%


Municipios

Porc

enta

je

Estrato 1 Estrato 2

NID ING x NID ING y N1 36991 1 41739 Intervalo aleatorio x2 31259 2 43480 Intervalo aleatorio y3 34246 3 43698 Media x4 33274 4 42086 Media y5 34115 5 40847 Desviacion stn x6 34306 6 42546 Desviacion stn y7 36945 7 40902 8 35899 8 41463 b19 37580 9 39982 b0

10 32242 10 41524 Ecuacion11 36557 11 40026 Minimo de x12 37272 12 38400 Maximo de x13 36197 13 43282 Amplitud14 35837 14 40422 Intervalo de puntos en x15 35255 15 4278416 32676 16 4295217 37453 17 3855318 33620 18 4167219 30488 19 3825620 37015 20 4006321 31051 21 4385422 31980 22 4309423 35944 23 4032624 33781 24 3995725 36372 25 4237126 30146 26 3919627 36860 27 4168028 37923 28 3995829 35571 29 4391330 34980 30 4184031 32742 31 3990532 31778 32 3978733 36193 33 3955134 35228 34 4207635 35118 35 4239336 35166 36 4053137 36302 37 4184338 36440 38 3887739 34705 39 4181840 35360 40 43092

41 34567 41 4208442 30919 42 4197343 36416 43 4297944 36127 44 4274745 34850 45 4128246 36794 46 4189647 36791 47 3865648 32687 48 4340649 37867 49 4091550 36176 50 4217451 31632 51 3817752 36757 52 3972453 32305 53 3938754 34327 54 4389655 33119 55 3834156 35562 56 3821357 37571 57 4249158 34832 58 3933659 33757 59 4063060 37964 60 3800961 31611 61 4062462 30458 62 4242963 35507 63 4386564 33774 64 4222465 32941 65 3946566 37536 66 4349967 34403 67 4302368 32990 68 4180769 36198 69 3824870 37064 70 4324771 32121 71 3853172 36070 72 3929473 36582 73 4348674 34173 74 4173375 37994 75 3996276 37212 76 4088577 35229 77 4185578 36608 78 4209079 36336 79 4288680 35889 80 4321881 35020 81 3926582 31991 82 38251

83 35441 83 4372684 37890 84 4052785 36785 85 4066586 33072 86 4258787 36677 87 4124688 30694 88 3942189 31376 89 3993190 30661 90 3872091 35178 91 4282392 37852 92 3897493 36412 93 4103594 34183 94 4006595 35551 95 4207096 34800 96 3914297 32605 97 4018898 36262 98 4345199 33820 99 42600

100 34209 100 40653101 35957 101 43918102 35599 102 41808103 31324 103 39555104 36638 104 40909105 30506 105 39480106 32612 106 38268107 34461 107 42005108 33262 108 41243109 36273 109 40604110 32834 110 42380111 34023 111 42576112 36239 112 39953113 34239 113 40821114 36419 114 38477115 35478 115 39286116 35852 116 38259117 36845 117 40202118 37358 118 43219119 34963 119 43776120 37882 120 43048121 32728 121 43331122 36555 122 38894123 36127 123 38530124 36329 124 40199

125 36554 125 41127126 31257 126 43164127 36443 127 43335128 36619 128 43199129 34168 129 42073130 37056 130 42861131 37717 131 40394132 35306 132 40359133 37887 133 41013134 37910 134 43257135 33632 135 41589136 37245 136 40487137 33055 137 42303138 34488 138 43765139 35628 139 42203140 34777 140 40079141 33114 141 40708142 32065 142 39891143 35739 143 38876144 33631 144 43803145 30654 145 39878146 33726 146 39127147 36406 147 38264148 31695 148 40260149 36659 149 40233150 35556 150 39271151 36985 151 41121152 37929 152 40345153 36058 153 39273154 37013 154 38809155 31089 155 39924156 37665 156 42489157 37862 157 41503158 34296 158 38966159 35305 159 38755160 37521 160 42717161 32065 161 43319162 36485 162 42794163 36138 163 40103164 35271 164 38667165 32730 165 41896166 37625 166 43914

167 35201 167 39205168 35301 168 40472169 30475 169 38160170 36344 170 40750171 36798 171 41624172 33114 172 41043173 37847 173 40788174 33984 174 43026175 36801 175 40555176 36783 176 41944177 34238 177 42686178 33243 178 43039179 35732 179 38898180 34941 180 42444181 34783 181 40689182 36336 182 42261183 31249 183 40723184 33296 184 39005185 34604 185 42781186 32703 186 38735187 30052 187 41183188 31143 188 40597189 37472 189 43463190 37879 190 38675191 30906 191 43871192 36229 192 39111193 37408 193 40785194 32662 194 38715195 35512 195 41785196 37801 196 41432197 37749 197 39840198 36160 198 43339199 36774 199 40556200 36730 200 39973201 31576 201 39164202 37506 202 42847203 31644 203 39604204 37220 204 40961205 37406 205 40852206 33860 206 38883207 31138 207 39562208 34248 208 39223

209 37763 209 42258210 36636 210 39844211 36483 211 38952212 34968 212 43349213 35640 213 42621214 36208 214 43265215 35257 215 38848216 34520 216 38370217 33523 217 38469218 30983 218 40371219 37291 219 40004220 34669 220 39476221 30928 221 39124222 32156 222 40169223 36503 223 41512224 31802 224 40763225 35362 225 38856226 30231 226 38825227 34227 227 41313228 31825 228 38745229 30564 229 38726230 37537 230 38504231 34063 231 40223232 37556 232 43314233 37580 233 41689234 34017 234 40525235 35060 235 41657236 35121 236 38256237 33661 237 41905238 36647 238 43746239 34236 239 38993240 36948 240 42084241 37207 241 42164242 35527 242 39930243 34313 243 41999244 36413 244 42948245 37018 245 42115246 31296 246 39166247 35555 247 42740248 36952 248 38201249 36735 249 40340250 33741 250 41213

251 37379 251 38393252 36599 252 42068253 34993 253 41520254 36015 254 39359255 31615 255 41106256 35702 256 40287257 30518 257 39987258 30357 258 39260259 37882 259 42332260 37825 260 43123261 36438 261 43474262 34008 262 42441263 34084 263 40968264 37173 264 41212265 35697 265 41449266 34784 266 41471267 31449 267 39225268 35164 268 39778269 36162 269 41271270 37430 270 38176271 34943 271 43575272 33901 272 43793273 35299 273 41705274 35924 274 38220275 33720 275 41975276 30904 276 42188277 31544 277 41877278 35553 278 38560279 36046 279 38868280 36386 280 39702281 37600 281 40639282 33478 282 40538283 36832 283 43090284 30999 284 41446285 31331 285 38972286 36005 286 38170287 37807 287 41524288 37261 288 41822289 32042 289 42563290 37570 290 42703291 32947 291 39641292 33032 292 41767

293 34237 293 39970294 37902 294 40864295 31116 295 39844296 37997 296 38419297 36064 297 38528298 36073 298 42816299 36133 299 41652300 34791 300 43465301 36082 301 41309302 34927 302 42010303 33160 303 43098304 37896 304 42089305 36449 305 38086306 34481 306 42900307 37363 307 41193308 35069 308 41713309 35595 309 42045310 37267 310 40589311 36060 311 39005312 31474 312 43626313 34539 313 40547314 37080 314 40267315 35688 315 40931316 33484 316 39287317 36833 317 42604318 34287 318 40474319 31273 319 40626320 35410 320 42161321 35950 321 39183322 36341 322 38134323 34215 323 42767324 35298 324 41851325 35071 325 40516326 37583 326 38585327 30615 327 38035328 37056 328 41631329 31688 329 40796330 36181 330 38554331 36671 331 39310332 30547 332 38200333 37950 333 41252334 31604 334 38068

335 37932 335 43177336 35170 336 43625337 32789 337 43568338 37364 338 42676339 35091 339 43687340 37274 340 38530341 37443 341 40913342 31811 342 41268343 37698 343 38627344 34870 344 42236345 33357 345 43007346 35789 346 39246347 35639 347 42935348 33085 348 39139349 30612 349 40173350 37172 350 38415351 34166 351 41769352 35507 352 39201353 37969 353 39794354 36407 354 43818355 34563 355 40031356 31532 356 41145357 35065 357 42550358 32699 358 38899359 35559 359 38727360 36026 360 43274361 34387 361 38186362 37215 362 42718363 34306 363 40697364 32824 364 40622365 37433 365 39737366 36122 366 43437367 33216 367 38354368 36998 368 40162369 31159 369 42509370 35906 370 41892371 37326 371 41639372 34654 372 40169373 34029 373 41095374 35055 374 42802375 36818 375 43735376 37146 376 41540

377 37969 377 42386378 37409 378 38405379 35422 379 41654380 33706 380 40421381 34339 381 39218382 34558 382 42314383 35006 383 39338384 35596 384 40146385 36864 385 40740386 35545 386 41521387 37777 387 38659388 30465 388 43030389 37901 389 38700390 36410 390 38396391 32525 391 38117392 34045 392 38288393 30406 393 40671394 36790 394 39546395 37719 395 39979396 37602 396 39798397 35839 397 42601398 35029 398 43773399 36496 399 38613400 37926 400 42529401 36938 401 42670402 37670 402 40190403 36617 403 43272404 36745 404 40324405 31220 405 40764406 33987 406 42129407 36215 407 40712408 34922 408 42720409 37518 409 43668410 36068 410 38623411 37549 411 39261412 37974 412 43200413 34936 413 42036414 32502 414 39879415 36644 415 41473416 34302 416 39537417 33947 417 41608418 31302 418 39284

419 36092 419 40956420 35973 420 40177421 36041 421 41238422 35219 422 38627423 36220 423 41567424 31788 424 43970425 37332 425 40127426 35137 426 42374427 31107 427 41458428 32168 428 43695429 37834 429 40605430 34430 430 40173431 32884 431 39011432 35170 432 41724433 35013 433 38231434 35239 434 41731435 36967 435 39741436 33158 436 38742437 31346 437 38928438 32996 438 38557439 35536 439 40863440 37812 440 43008441 32565 441 38825442 37418 442 41138443 34191 443 41986444 35256 444 40862445 32911 445 40766446 31182 446 41211447 31499 447 40243448 35882 448 38657449 33021 449 43071450 34427 450 43727451 37830 451 40289452 36598 452 42209453 37603 453 40258454 37282 454 41734455 34325 455 39415456 37111 456 39597457 34339 457 43592458 37331 458 38494459 34692 459 42697460 37582 460 43698

461 34994 461 42001462 30898 462 41061463 36629 463 43033464 34655 464 39835465 36351 465 39875466 33676 466 43909467 36373 467 43395468 37795 468 40430469 37123 469 40138470 33315 470 39720471 37608 471 38141472 36802 472 40960473 36768 473 43255474 36744 474 39067475 35351 475 43844476 34568 476 39904477 32935 477 40350478 30583 478 39616479 36135 479 39609480 31105 480 40178481 37065 481 38794482 36407 482 42397483 31315 483 38852484 37800 484 38243485 35587 485 43907486 34214 486 43422487 36495 487 40582488 35210 488 39241489 37251 489 42812490 32885 490 43776491 30070 491 42350492 36799 492 39692493 34670 493 40615494 37307 494 41708495 35275 495 40796496 36645 496 38692497 37678 497 40716498 31135 498 39039499 37811 499 41340500 35108 500 38623501 36880 501 42623502 36794 502 43294

503 37641 503 38274504 37409 504 43198505 35460 505 40781506 37679 506 40475507 37044 507 42611508 35643 508 39957509 35712 509 40950510 31437 510 38883511 35511 511 38333512 35792 512 39751513 35491 513 40241514 36854 514 41022515 34827 515 42728516 34261 516 42754517 35628 517 40216

518 39405519 43526520 40350521 41444522 41710523 40663524 40047525 40301526 43408527 42074528 41465529 39111530 40045531 39039532 38528533 42949534 39309535 38453536 38876537 38281538 39962539 41712540 40264541 38620542 40562543 39003544 41898

545 40476546 38007547 38333548 40441549 43472550 41770551 42578552 38575553 41059554 39082555 41582556 39876557 41549558 40998559 39242560 42757561 42814562 42877563 43694564 38594565 42020566 38544567 39384568 42345569 38083570 38878571 38768572 38193573 40160574 41786575 43614576 38372577 43884578 42117579 41387580 41188581 41924582 43562583 41895584 40490585 41453586 42630

587 39657588 41556589 43000590 43385591 42920592 42140593 41294594 41243595 41392596 42126597 39245598 41805599 41983600 38764601 38697602 40911603 42237604 40449605 40918606 42173607 42728608 43407609 43591610 41126611 41178612 38095613 42317614 41782615 42512616 39233617 42469618 43325619 41341620 42032621 41177622 40318623 43257624 39378625 39639626 40322627 41196628 43960

629 39154630 41480631 38045632 41410633 41970

Estrato 1 Estrato 2100 Datos Aleatorio ING x Aleatorio

5 1 5 34115 66 2 10 32242 12

35356.95 3 15 35255 1840900.15 4 20 37015 24

1981.87743546162 5 25 36372 301790.98330519716 6 30 34980 36

-0.157273907957163 7 35 35118 42-0.14212530929229 8 40 35360 48

45925.267454382 9 45 34850 5445925,267454382+(-0,14212530929229*x) 10 50 36176 60

30506 11 55 33119 6637994 12 60 37964 72

7488 13 65 32941 7874.88 14 70 37064 84

15 75 37994 9016 80 35889 9617 85 36785 10218 90 30661 10819 95 35551 11420 100 34209 12021 105 30506 12622 110 32834 13223 115 35478 13824 120 37882 14425 125 36554 15026 130 37056 15627 135 33632 16228 140 34777 16829 145 30654 17430 150 35556 18031 155 31089 18632 160 37521 19233 165 32730 19834 170 36344 20435 175 36801 21036 180 34941 21637 185 34604 22238 190 37879 22839 195 35512 23440 200 36730 240

41 205 37406 24642 210 36636 25243 215 35257 25844 220 34669 26445 225 35362 27046 230 37537 27647 235 35060 28248 240 36948 28849 245 37018 29450 250 33741 30051 255 31615 30652 260 37825 31253 265 35697 31854 270 37430 32455 275 33720 33056 280 36386 33657 285 31331 34258 290 37570 34859 295 31116 35460 300 34791 36061 305 36449 36662 310 37267 37263 315 35688 37864 320 35410 38465 325 35071 39066 330 36181 39667 335 37932 40268 340 37274 40869 345 33357 41470 350 37172 42071 355 34563 42672 360 36026 43273 365 37433 43874 370 35906 44475 375 36818 45076 380 33706 45677 385 36864 46278 390 36410 46879 395 37719 47480 400 37926 48081 405 31220 48682 410 36068 492

83 415 36644 49884 420 35973 50485 425 37332 51086 430 34430 51687 435 36967 52288 440 37812 52889 445 32911 53490 450 34427 54091 455 34325 54692 460 37582 55293 465 36351 55894 470 33315 56495 475 35351 57096 480 31105 57697 485 35587 58298 490 32885 58899 495 35275 594

100 500 35108 600Total 3535695

Estrato 2 RectaING y x-x~ y-y~ (x-x~)^2 (y-y~)^2 (x-x~)(y-y~) x y

42546 -1241.95 1645.85 1542439.8 2708822.22 -2044063.41 30506 41589.592838400 -3114.95 -2500.15 9702913.5 6250750.02 7787842.24 30580.88 41578.950441672 -101.95 771.85 10393.8025 595752.422 -78690.1075 30655.76 41568.308139957 1658.05 -943.15 2749129.8 889531.923 -1563789.86 30730.64 41557.665741840 1015.05 939.85 1030326.5 883318.022 953994.743 30805.52 41547.023440531 -376.95 -369.15 142091.302 136271.723 139151.092 30880.4 41536.381141973 -238.95 1072.85 57097.1025 1151007.12 -256357.507 30955.28 41525.738743406 3.05 2505.85 9.3025 6279284.22 7642.8425 31030.16 41515.096443896 -506.95 2995.85 256998.302 8975117.22 -1518746.16 31105.04 41504.45438009 819.05 -2891.15 670842.903 8358748.32 -2367996.41 31179.92 41493.811743499 -2237.95 2598.85 5008420.2 6754021.32 -5816096.36 31254.8 41483.169339294 2607.05 -1606.15 6796709.7 2579717.82 -4187313.36 31329.68 41472.52742090 -2415.95 1189.85 5836814.4 1415743.02 -2874618.11 31404.56 41461.884740527 1707.05 -373.15 2914019.7 139240.923 -636985.708 31479.44 41451.242338720 2637.05 -2180.15 6954032.7 4753054.02 -5749164.56 31554.32 41440.639142 532.05 -1758.15 283077.203 3091091.42 -935423.708 31629.2 41429.957641808 1428.05 907.85 2039326.8 824191.622 1296455.19 31704.08 41419.315341243 -4695.95 342.85 22051946.4 117546.122 -1610006.46 31778.96 41408.672938477 194.05 -2423.15 37655.4025 5871655.92 -470212.258 31853.84 41398.030643048 -1147.95 2147.85 1317789.2 4613259.62 -2465624.41 31928.72 41387.388243164 -4850.95 2263.85 23531715.9 5125016.82 -10981823 32003.6 41376.745940359 -2522.95 -541.15 6365276.7 292843.323 1365294.39 32078.48 41366.103643765 121.05 2864.85 14653.1025 8207365.52 346790.093 32153.36 41355.461243803 2525.05 2902.85 6375877.5 8426538.12 7329841.39 32228.24 41344.818939271 1197.05 -1629.15 1432928.7 2654129.72 -1950174 32303.12 41334.176542489 1699.05 1588.85 2886770.9 2524444.32 2699535.59 32378 41323.534242794 -1724.95 1893.85 2975452.5 3586667.82 -3266796.56 32452.88 41312.891840472 -579.95 -428.15 336342.002 183312.423 248305.592 32527.76 41302.249543026 -4702.95 2125.85 22117738.7 4519238.22 -9997766.26 32602.64 41291.607242444 199.05 1543.85 39620.9025 2383472.82 307303.343 32677.52 41280.964838735 -4267.95 -2165.15 18215397.2 4687874.52 9240751.94 32752.4 41270.322539111 2164.05 -1789.15 4683112.4 3201057.72 -3871810.06 32827.28 41259.680143339 -2626.95 2438.85 6900866.3 5947989.32 -6406737 32902.16 41249.037840961 987.05 60.85 974267.703 3702.7225 60061.9925 32977.04 41238.395439844 1444.05 -1056.15 2085280.4 1115452.82 -1525133.41 33051.92 41227.753138370 -415.95 -2530.15 173014.402 6401659.02 1052415.89 33126.8 41217.110840169 -752.95 -731.15 566933.702 534580.323 550519.392 33201.68 41206.468438745 2522.05 -2155.15 6360736.2 4644671.52 -5435396.06 33276.56 41195.826140525 155.05 -375.15 24040.5025 140737.523 -58167.0075 33351.44 41185.183742084 1373.05 1183.85 1885266.3 1401500.82 1625485.24 33426.32 41174.5414

39166 2049.05 -1734.15 4198605.9 3007276.22 -3553360.06 33501.2 41163.89942068 1279.05 1167.85 1635968.9 1363873.62 1493738.54 33576.08 41153.256739260 -99.95 -1640.15 9990.0025 2690092.02 163932.992 33650.96 41142.614441212 -687.95 311.85 473275.202 97250.4225 -214537.207 33725.84 41131.97238176 5.05 -2724.15 25.5025 7420993.22 -13756.9575 33800.72 41121.329742188 2180.05 1287.85 4752618 1658557.62 2807577.39 33875.6 41110.687340538 -296.95 -362.15 88179.3025 131152.623 107540.442 33950.48 41100.04541822 1591.05 921.85 2531440.1 849807.422 1466709.44 34025.36 41089.402640864 1661.05 -36.15 2759087.1 1306.8225 -60046.9575 34100.24 41078.760343465 -1615.95 2564.85 2611294.4 6578455.52 -4144669.36 34175.12 41068.11842900 -3741.95 1999.85 14002189.8 3999400.02 -7483338.71 34250 41057.475643626 2468.05 2725.85 6091270.8 7430258.22 6727534.09 34324.88 41046.833340474 340.05 -426.15 115634.003 181603.823 -144912.308 34399.76 41036.190941851 2073.05 950.85 4297536.3 904115.722 1971159.59 34474.64 41025.548638554 -1636.95 -2346.15 2679605.3 5504419.82 3840530.24 34549.52 41014.906243625 1029.05 2724.85 1058943.9 7424807.52 2804006.89 34624.4 41004.263941268 -4025.95 367.85 16208273.4 135313.622 -1480945.71 34699.28 40993.621639139 2213.05 -1761.15 4897590.3 3101649.32 -3897513 34774.16 40982.979243818 -4240.95 2917.85 17985656.9 8513848.62 -12374456 34849.04 40972.336943274 -565.95 2373.85 320299.402 5635163.82 -1343480.41 34923.92 40961.694543437 1092.05 2536.85 1192573.2 6435607.92 2770367.04 34998.8 40951.052240169 1910.05 -731.15 3648291 534580.323 -1396533.06 35073.68 40940.409838405 331.05 -2495.15 109594.103 6225773.52 -826019.408 35148.56 40929.767540146 53.05 -754.15 2814.3025 568742.223 -40007.6575 35223.44 40919.125238396 -285.95 -2504.15 81767.4025 6270767.22 716061.692 35298.32 40908.482839798 824.05 -1102.15 679058.403 1214734.62 -908226.708 35373.2 40897.840540190 2575.05 -710.15 6630882.5 504313.023 -1828671.76 35448.08 40887.198142720 1917.05 1819.85 3675080.7 3311854.02 3488743.44 35522.96 40876.555839879 -1999.95 -1021.15 3999800 1042747.32 2042248.94 35597.84 40865.913440177 1815.05 -723.15 3294406.5 522945.923 -1312553.41 35672.72 40855.271142374 -793.95 1473.85 630356.602 2172233.82 -1170163.21 35747.6 40844.628741724 669.05 823.85 447627.903 678728.822 551196.843 35822.48 40833.986438557 2076.05 -2343.15 4309983.6 5490351.92 -4864496.56 35897.36 40823.344140862 549.05 -38.15 301455.903 1455.4225 -20946.2575 35972.24 40812.701743727 1461.05 2826.85 2134667.1 7991080.92 4130169.19 36047.12 40802.059439597 -1650.95 -1303.15 2725635.9 1698199.92 2151435.49 36122 40791.41741061 1507.05 160.85 2271199.7 25872.7225 242408.992 36196.88 40780.774740430 1053.05 -470.15 1108914.3 221041.023 -495091.458 36271.76 40770.132339067 2362.05 -1833.15 5579280.2 3360438.92 -4329992 36346.64 40759.4940178 2569.05 -722.15 6600017.9 521500.623 -1855239.46 36421.52 40748.847743422 -4136.95 2521.85 17114355.3 6359727.42 -10432767 36496.4 40738.205339692 711.05 -1208.15 505592.103 1459626.42 -859055.058 36571.28 40727.563

39039 1287.05 -1861.15 1656497.7 3463879.32 -2395393.11 36646.16 40716.920643198 616.05 2297.85 379517.603 5280114.62 1415590.49 36721.04 40706.278338883 1975.05 -2017.15 3900822.5 4068894.12 -3983972.11 36795.92 40695.635942754 -926.95 1853.85 859236.302 3436759.82 -1718426.26 36870.8 40684.993641710 1610.05 809.85 2592261 655857.022 1303898.99 36945.68 40674.351341465 2455.05 564.85 6027270.5 319055.522 1386734.99 37020.56 40663.708939309 -2445.95 -1591.15 5982671.4 2531758.32 3891873.34 37095.44 40653.066640264 -929.95 -636.15 864807.002 404686.823 591587.692 37170.32 40642.424238007 -1031.95 -2893.15 1064920.8 8370316.92 2985586.14 37245.2 40631.781938575 2225.05 -2325.15 4950847.5 5406322.52 -5173575 37320.08 40621.139540998 994.05 97.85 988135.403 9574.6225 97267.7925 37394.96 40610.497238594 -2041.95 -2306.15 4169559.8 5318327.82 4709042.99 37469.84 40599.854938878 -5.95 -2022.15 35.4025 4089090.62 12031.7925 37544.72 40589.212538372 -4251.95 -2528.15 18079078.8 6391542.42 10749567.4 37619.6 40578.570243562 230.05 2661.85 52923.0025 7085445.42 612358.593 37694.48 40567.927841556 -2471.95 655.85 6110536.8 430139.222 -1621228.41 37769.36 40557.285541243 -81.95 342.85 6715.8025 117546.122 -28096.5575 37844.24 40546.643138764 -248.95 -2136.15 61976.1025 4563136.82 531794.542 37919.12 40536.0008

4090015 388855979 317554499 -55266276

30000 31000 32000 33000 34000 35000 36000 37000 38000 3900035000

36000

37000

38000

39000

40000

41000

42000

43000

44000

45000

f(x) = − 0.14212530929229 x + 45925.267454382

Correlacion ING estrato 1 y 2

ING x

ING

y

30000 31000 32000 33000 34000 35000 36000 37000 38000 3900035000

36000

37000

38000

39000

40000

41000

42000

43000

44000

45000

f(x) = − 0.14212530929229 x + 45925.267454382


ING x

ING

y

Estrato 1 Estrato 2

NID AL x NID AL y N1 7587 1 7490 Intervalo aleatorio x2 6372 2 9205 Intervalo aleatorio y3 6871 3 9789 Media x4 6507 4 8767 Media y5 6240 5 7783 Desviacion stn x6 7403 6 8181 Desviacion stn y7 7396 7 8209 Correlacion lineal8 7677 8 8675 b19 7736 9 8895 b0


41 7088 41 873842 6677 42 885443 7109 43 863344 7646 44 924045 7713 45 777946 6299 46 920147 7476 47 726148 6357 48 975149 8652 49 791650 7990 50 762151 5943 51 727952 7695 52 771753 5190 53 894554 6863 54 868755 6765 55 775256 7419 56 708657 8659 57 919458 7608 58 726559 6005 59 768460 7521 60 841461 6250 61 848162 6422 62 980863 7762 63 1008464 6607 64 807865 6715 65 812566 6802 66 871067 7884 67 881068 6262 68 859269 7612 69 762770 7945 70 819671 6463 71 750772 7955 72 728773 6399 73 992174 6934 74 823175 7365 75 724276 6738 76 850777 5867 77 711378 6744 78 790479 7305 79 762280 7577 80 893381 7008 81 780182 6703 82 7879

83 7314 83 758684 8577 84 932985 6889 85 796086 7014 86 832887 6877 87 881788 6002 88 855489 5779 89 883390 6089 90 774491 7592 91 961292 6365 92 773293 7534 93 815694 7705 94 838995 6982 95 783296 7243 96 804397 5755 97 852398 6636 98 871299 6180 99 8956

100 6712 100 8978101 6808 101 8392102 7415 102 8649103 7008 103 7037104 7447 104 8895105 6617 105 9076106 6814 106 8935107 7579 107 9338108 7120 108 8016109 7453 109 9541110 6119 110 8027111 6338 111 9677112 7579 112 8221113 7278 113 8941114 7797 114 7861115 7184 115 7912116 7329 116 7198117 7285 117 8280118 8158 118 8103119 6256 119 9857120 7932 120 8903121 6511 121 9138122 7376 122 7325123 7422 123 7931124 7358 124 8368

125 6957 125 7661126 6163 126 7726127 7385 127 9577128 7726 128 8121129 6069 129 8058130 7474 130 8413131 7378 131 7948132 7196 132 7420133 8018 133 8801134 7911 134 9614135 7131 135 7086136 7211 136 8621137 6109 137 8465138 7337 138 10273139 7732 139 8502140 7569 140 9448141 7318 141 8915142 5709 142 6937143 7066 143 7804144 6614 144 10041145 6726 145 8411146 6691 146 6948147 7897 147 7229148 7022 148 7919149 6519 149 7607150 6469 150 7766151 8021 151 9175152 8366 152 9034153 7646 153 7916154 7602 154 7616155 6495 155 8975156 7592 156 8326157 6936 157 7834158 7409 158 8528159 6603 159 8599160 7914 160 8637161 6304 161 10071162 6985 162 9280163 7016 163 8000164 7903 164 7358165 6660 165 7480166 6925 166 9254

167 6565 167 7551168 6503 168 7990169 6674 169 7854170 8300 170 8658171 7210 171 8349172 6879 172 8124173 7138 173 8119174 6517 174 9529175 7505 175 7888176 7943 176 8033177 6954 177 9284178 7405 178 8095179 8140 179 8173180 6997 180 8327181 7185 181 6891182 6728 182 9730183 6593 183 7576184 6094 184 8988185 7579 185 7602186 7860 186 6488187 5482 187 8710188 5896 188 8272189 7455 189 9057190 7575 190 8439191 6089 191 8611192 6869 192 7747193 7851 193 8044194 6168 194 7167195 7178 195 7959196 7776 196 8178197 7358 197 8926198 6722 198 8287199 8310 199 7942200 6675 200 9246201 7251 201 8992202 7570 202 8956203 6557 203 6870204 8896 204 7704205 6821 205 7928206 7313 206 7393207 7211 207 7065208 7479 208 6892

209 8242 209 7630210 6833 210 7894211 8309 211 8617212 7760 212 8855213 7080 213 8334214 7326 214 8878215 7866 215 7976216 6969 216 8475217 6855 217 8135218 5989 218 7873219 7535 219 7595220 7543 220 7628221 6040 221 8036222 6314 222 7189223 7378 223 8274224 7306 224 7552225 6222 225 7614226 7174 226 8115227 6664 227 8177228 6022 228 6589229 6107 229 7105230 7560 230 7557231 7329 231 8888232 8183 232 8863233 8173 233 8658234 6993 234 8232235 6986 235 7846236 7143 236 8747237 6218 237 8136238 8087 238 8266239 6843 239 8277240 7217 240 8816241 8285 241 7300242 7184 242 8028243 7309 243 8974244 7447 244 7885245 7466 245 9151246 6203 246 7838247 6559 247 7633248 7386 248 9331249 7633 249 9434250 6975 250 9526

251 7087 251 7008252 8159 252 8696253 7002 253 7459254 8118 254 8875255 6142 255 8553256 7305 256 8723257 5534 257 7672258 7298 258 6869259 9092 259 8644260 7854 260 8586261 7515 261 10466262 6408 262 8613263 6352 263 8560264 8033 264 9040265 6668 265 7339266 7441 266 8059267 7343 267 7540268 7693 268 7962269 6995 269 8422270 7255 270 7852271 6970 271 9490272 6764 272 7829273 6474 273 9017274 7209 274 7569275 7209 275 8909276 6062 276 7985277 7083 277 8872278 7823 278 8486279 7713 279 7812280 7264 280 7254281 7080 281 6914282 6613 282 9280283 8820 283 8174284 6688 284 8834285 6130 285 7984286 7614 286 6993287 8236 287 8923288 6633 288 8455289 7141 289 9386290 7630 290 7692291 7216 291 6887292 7094 292 9238

293 7510 293 9140294 7737 294 7775295 6622 295 8439296 7797 296 8566297 7535 297 7557298 7150 298 9168299 7090 299 7757300 7730 300 8351301 8372 301 8432302 7749 302 8418303 6231 303 8930304 7864 304 8266305 6897 305 6501306 6196 306 7852307 8509 307 7164308 7382 308 7231309 6910 309 8697310 8179 310 7065311 6745 311 8737312 6673 312 9210313 6725 313 7697314 8142 314 7792315 7073 315 8075316 6011 316 7243317 7024 317 8406318 7328 318 7277319 5908 319 8744320 7586 320 8834321 6733 321 7840322 7224 322 7647323 7755 323 7808324 8130 324 7955325 7379 325 8164326 7541 326 8305327 6748 327 8171328 7916 328 8525329 5763 329 8341330 7014 330 8063331 6518 331 9369332 5929 332 8565333 7845 333 7478334 6306 334 7083

335 7951 335 9592336 7868 336 8487337 6491 337 8377338 6480 338 8966339 6582 339 8760340 8266 340 8682341 7977 341 8282342 7338 342 7602343 7200 343 8154344 7365 344 7495345 6715 345 8891346 7779 346 7322347 8023 347 8482348 7613 348 7600349 5434 349 7221350 7960 350 7681351 6724 351 9045352 7803 352 7973353 7737 353 8342354 6965 354 8793355 6588 355 8009356 6040 356 8392357 6578 357 9749358 6652 358 7847359 7864 359 8563360 7053 360 9989361 6612 361 7955362 7485 362 8827363 5750 363 8398364 6602 364 9080365 6628 365 6907366 6796 366 9508367 7002 367 7511368 6600 368 7957369 5392 369 8383370 7306 370 7283371 7365 371 9077372 6138 372 7759373 7685 373 8204374 6960 374 7833375 8380 375 9732376 8045 376 8734

377 7958 377 9822378 6204 378 7638379 7170 379 8503380 6576 380 7619381 7152 381 7562382 7357 382 8123383 8208 383 8052384 8306 384 8270385 7246 385 8350386 7406 386 8897387 7973 387 7022388 6334 388 8885389 7274 389 7661390 7974 390 6367391 6557 391 8061392 7550 392 7691393 6724 393 8248394 8155 394 8143395 7333 395 7638396 8299 396 8285397 7313 397 7943398 6214 398 8173399 6578 399 7566400 8156 400 8976401 8028 401 7875402 7153 402 8952403 6916 403 9507404 7184 404 8235405 6378 405 6833406 6271 406 8588407 7280 407 8732408 7243 408 8768409 7967 409 9102410 7877 410 7590411 7633 411 7762412 7564 412 9141413 6449 413 9228414 6946 414 8065415 7109 415 7477416 7381 416 8489417 6906 417 8675418 6608 418 7467

419 7310 419 9253420 8015 420 8797421 7643 421 9413422 7435 422 8182423 7015 423 7536424 5795 424 9133425 7227 425 8002426 8002 426 8125427 6463 427 8241428 7155 428 8493429 8496 429 8092430 6617 430 9581431 5790 431 8030432 6940 432 8410433 7018 433 7089434 7269 434 8494435 6923 435 8535436 6954 436 7447437 6777 437 8156438 6857 438 8023439 6968 439 8070440 8395 440 9361441 6584 441 7214442 8168 442 8659443 7394 443 8388444 6663 444 8507445 6489 445 8718446 5745 446 8904447 6518 447 8292448 7850 448 8005449 6667 449 9423450 6733 450 9261451 7884 451 7983452 7134 452 8888453 8165 453 8134454 7210 454 8715455 6820 455 7763456 8022 456 8647457 6270 457 9821458 7900 458 7463459 6872 459 8570460 8153 460 8687

461 7101 461 8172462 6550 462 8657463 7710 463 8859464 6678 464 8504465 7127 465 7573466 7700 466 8753467 6704 467 8370468 7834 468 7606469 7371 469 8232470 6603 470 7087471 8531 471 7554472 7048 472 7854473 8134 473 8653474 7128 474 8990475 6913 475 10450476 7517 476 8983477 6203 477 8528478 6538 478 7585479 7180 479 8756480 6421 480 8592481 7902 481 6876482 7179 482 8399483 6359 483 8436484 8211 484 8066485 7523 485 9088486 7407 486 8725487 7217 487 8123488 7318 488 8346489 7510 489 8913490 7229 490 8061491 5950 491 7891492 7697 492 8730493 7412 493 8159494 7833 494 8921495 6891 495 9142496 7755 496 7763497 7646 497 8746498 6106 498 8790499 8110 499 9202500 6718 500 6654501 6829 501 9494502 8080 502 8067

503 7376 503 7825504 8609 504 8262505 7374 505 7488506 6568 506 6795507 7909 507 8332508 6384 508 7401509 7015 509 8281510 5357 510 8507511 6978 511 7226512 7874 512 8722513 6823 513 8534514 7854 514 8905515 7512 515 8161516 7071 516 8259517 7152 517 8457

518 8491519 8391520 6856521 8316522 8597523 8123524 7873525 7328526 8134527 8029528 7726529 7906530 8423531 7860532 6477533 9131534 8672535 7906536 8326537 7708538 7718539 8560540 8248541 7402542 8091543 8247544 9071

545 8205546 8545547 7891548 8292549 8521550 8266551 9887552 6977553 8679554 8324555 9139556 8174557 7913558 8903559 8262560 7712561 9717562 8559563 9139564 7812565 7927566 6895567 7878568 7094569 7896570 7783571 7277572 7798573 9411574 8988575 9452576 7978577 8705578 9353579 7371580 8077581 8959582 8357583 8627584 9170585 8756586 8647

587 9143588 8349589 8107590 9260591 8086592 8477593 8273594 8784595 8352596 8484597 8459598 8064599 8161600 8099601 6594602 8162603 8448604 8052605 9292606 7809607 8716608 9026609 9232610 8829611 7017612 7577613 7895614 8556615 9424616 9083617 7798618 9155619 8657620 8199621 8815622 8236623 9225624 8919625 7144626 8694627 8850628 10621

629 8684630 8571631 7865632 8752633 8305


5 1 5 6240 66 2 10 6224 12

7187.82 3 15 7383 188285.05 4 20 7436 24

582.258080513472 5 25 7805 30719.797016491104 6 30 7693 36

0.0612352744739956 7 35 7539 420.0757000535424534 8 40 6729 48

7740.93164114648 9 45 7713 547740,93164114648+(0,0757000535424533*x) 10 50 7990 60

6089 11 55 6765 668395 12 60 7521 722306 13 65 6715 78

23.06 14 70 7945 8415 75 7365 9016 80 7577 9617 85 6889 10218 90 6089 10819 95 6982 11420 100 6712 12021 105 6617 12622 110 6119 13223 115 7184 13824 120 7932 14425 125 6957 15026 130 7474 15627 135 7131 16228 140 7569 16829 145 6726 17430 150 6469 18031 155 6495 18632 160 7914 19233 165 6660 19834 170 8300 20435 175 7505 21036 180 6997 21637 185 7579 22238 190 7575 22839 195 7178 23440 200 6675 240

41 205 6821 24642 210 6833 25243 215 7866 25844 220 7543 26445 225 6222 27046 230 7560 27647 235 6986 28248 240 7217 28849 245 7466 29450 250 6975 30051 255 6142 30652 260 7854 31253 265 6668 31854 270 7255 32455 275 7209 33056 280 7264 33657 285 6130 34258 290 7630 34859 295 6622 35460 300 7730 36061 305 6897 36662 310 8179 37263 315 7073 37864 320 7586 38465 325 7379 39066 330 7014 39667 335 7951 40268 340 8266 40869 345 6715 41470 350 7960 42071 355 6588 42672 360 7053 43273 365 6628 43874 370 7306 44475 375 8380 45076 380 6576 45677 385 7246 46278 390 7974 46879 395 7333 47480 400 8156 48081 405 6378 48682 410 7877 492

83 415 7109 49884 420 8015 50485 425 7227 51086 430 6617 51687 435 6923 52288 440 8395 52889 445 6489 53490 450 6733 54091 455 6820 54692 460 8153 55293 465 7127 55894 470 6603 56495 475 6913 57096 480 6421 57697 485 7523 58298 490 7229 58899 495 6891 594

100 500 6718 600Total 718782


8181 -947.82 -104.05 898362.752 10826.4025 98620.671 6089 8201.869277797 -963.82 -488.05 928948.992 238192.802 470392.351 6112.06 8203.614917656 195.18 -629.05 38095.2324 395703.902 -122777.979 6135.12 8205.360557512 248.18 -773.05 61593.3124 597606.302 -191855.549 6158.18 8207.10628349 617.18 63.95 380911.152 4089.6025 39468.661 6181.24 8208.851848460 505.18 174.95 255206.832 30607.5025 88381.241 6204.3 8210.597488854 351.18 568.95 123327.392 323704.103 199803.861 6227.36 8212.343139751 -458.82 1465.95 210515.792 2149009.4 -672607.179 6250.42 8214.088778687 525.18 401.95 275814.032 161563.803 211096.101 6273.48 8215.834418414 802.18 128.95 643492.752 16628.1025 103441.111 6296.54 8217.580068710 -422.82 424.95 178776.752 180582.503 -179677.359 6319.6 8219.32577287 333.18 -998.05 111008.912 996103.802 -332530.299 6342.66 8221.071347904 -472.82 -381.05 223558.752 145199.102 180168.061 6365.72 8222.816999329 757.18 1043.95 573321.552 1089831.6 790458.061 6388.78 8224.562637744 177.18 -541.05 31392.7524 292735.102 -95863.239 6411.84 8226.308278043 389.18 -242.05 151461.072 58588.2025 -94201.019 6434.9 8228.053928649 -298.82 363.95 89293.3924 132459.603 -108755.539 6457.96 8229.799568016 -1098.82 -269.05 1207405.39 72387.9025 295637.521 6481.02 8231.54527861 -205.82 -424.05 42361.8724 179818.402 87277.971 6504.08 8233.290858903 -475.82 617.95 226404.672 381862.203 -294032.969 6527.14 8235.036497726 -570.82 -559.05 325835.472 312536.902 319116.921 6550.2 8236.782137420 -1068.82 -865.05 1142376.19 748311.502 924582.741 6573.26 8238.52778

10273 -3.82 1987.95 14.5924 3951945.2 -7593.969 6596.32 8240.2734210041 744.18 1755.95 553803.872 3083360.4 1306742.87 6619.38 8242.01906

7766 -230.82 -519.05 53277.8724 269412.902 119807.121 6642.44 8243.76478326 286.18 40.95 81898.9924 1676.9025 11719.071 6665.5 8245.510359280 -56.82 994.95 3228.5124 989925.503 -56533.059 6688.56 8247.255997990 381.18 -295.05 145298.192 87054.5025 -112467.159 6711.62 8249.001639529 -461.82 1243.95 213277.712 1547411.6 -574480.989 6734.68 8250.747288327 -718.82 41.95 516702.192 1759.8025 -30154.499 6757.74 8252.492926488 -692.82 -1797.05 479999.552 3229388.7 1245032.18 6780.8 8254.238567747 726.18 -538.05 527337.392 289497.802 -390721.149 6803.86 8255.984218287 -527.82 1.95 278593.952 3.8025 -1029.249 6826.92 8257.729857704 1112.18 -581.05 1236944.35 337619.102 -646232.189 6849.98 8259.475497894 317.18 -391.05 100603.152 152920.102 -124033.239 6873.04 8261.221148475 -190.82 189.95 36412.2724 36081.0025 -36246.259 6896.1 8262.966787189 391.18 -1096.05 153021.792 1201325.6 -428752.839 6919.16 8264.712426589 387.18 -1696.05 149908.352 2876585.6 -656676.639 6942.22 8266.458078232 -9.82 -53.05 96.4324 2814.3025 520.951 6965.28 8268.203718816 -512.82 530.95 262984.352 281907.903 -272281.779 6988.34 8269.94935

7838 -366.82 -447.05 134556.912 199853.702 163986.881 7011.4 8271.6958696 -354.82 410.95 125897.232 168879.903 -145813.279 7034.46 8273.440646869 678.18 -1416.05 459928.112 2005197.6 -960336.789 7057.52 8275.186289040 355.18 754.95 126152.832 569949.503 268143.141 7080.58 8276.931937852 -965.82 -433.05 932808.272 187532.302 418248.351 7103.64 8278.677577985 372.18 -300.05 138517.952 90030.0025 -111672.609 7126.7 8280.423219280 -201.82 994.95 40731.3124 989925.503 -200800.809 7149.76 8282.168868455 29.18 169.95 851.4724 28883.0025 4959.141 7172.82 8283.91457775 278.18 -510.05 77384.1124 260151.002 -141885.709 7195.88 8285.660148351 -212.82 65.95 45292.3524 4349.4025 -14035.479 7218.94 8287.405797852 -1045.82 -433.05 1093739.47 187532.302 452892.351 7242 8289.151439210 666.18 924.95 443795.792 855532.503 616183.191 7265.06 8290.897077277 -519.82 -1008.05 270212.832 1016164.8 524004.551 7288.12 8292.642727955 67.18 -330.05 4513.1524 108933.002 -22172.759 7311.18 8294.388368063 21.18 -222.05 448.5924 49306.2025 -4703.019 7334.24 8296.1348487 76.18 201.95 5803.3924 40783.8025 15384.551 7357.3 8297.879657602 -1057.82 -683.05 1118983.15 466557.302 722543.951 7380.36 8299.625297600 442.18 -685.05 195523.152 469293.502 -302915.409 7403.42 8301.370938793 -565.82 507.95 320152.272 258013.203 -287408.269 7426.48 8303.116579989 542.18 1703.95 293959.152 2903445.6 923847.611 7449.54 8304.862229508 -290.82 1222.95 84576.2724 1495606.7 -355658.319 7472.6 8306.607867759 991.18 -526.05 982437.792 276728.602 -521410.239 7495.66 8308.35357638 -114.82 -647.05 13183.6324 418673.702 74294.281 7518.72 8310.099158270 398.18 -15.05 158547.312 226.5025 -5992.609 7541.78 8311.844796367 191.18 -1918.05 36549.7924 3678915.8 -366692.799 7564.84 8313.590438285 -173.82 -0.05 30213.3924 0.0025 8.691 7587.9 8315.336088952 763.18 666.95 582443.712 444822.303 509002.901 7610.96 8317.081728768 1078.18 482.95 1162472.11 233240.703 520707.031 7634.02 8318.827368065 -472.82 -220.05 223558.752 48422.0025 104044.041 7657.08 8320.573018797 772.18 511.95 596261.952 262092.803 395317.551 7680.14 8322.318658125 -599.82 -160.05 359784.032 25616.0025 96001.191 7703.2 8324.064298410 -134.82 124.95 18176.4324 15612.5025 -16845.759 7726.26 8325.809948023 -559.82 -262.05 313398.432 68670.2025 146700.831 7749.32 8327.555588507 118.18 221.95 13966.5124 49261.8025 26230.051 7772.38 8329.301229261 1192.18 975.95 1421293.15 952478.403 1163508.07 7795.44 8331.046878647 -611.82 361.95 374323.712 131007.803 -221448.249 7818.5 8332.792518657 58.18 371.95 3384.9124 138346.803 21640.051 7841.56 8334.538157606 786.18 -679.05 618078.992 461108.902 -533855.529 7864.62 8336.28388990 145.18 704.95 21077.2324 496954.503 102344.641 7887.68 8338.029448592 968.18 306.95 937372.512 94218.3025 297182.851 7910.74 8339.775088725 -809.82 439.95 655808.432 193556.003 -356280.309 7933.8 8341.520738730 689.18 444.95 474969.072 197980.503 306650.641 7956.86 8343.26637

8790 -78.82 504.95 6212.5924 254974.503 -39800.159 7979.92 8345.012018262 827.18 -23.05 684226.752 531.3025 -19066.499 8002.98 8346.757668507 39.18 221.95 1535.0724 49261.8025 8696.001 8026.04 8348.50338259 -570.82 -26.05 325835.472 678.6025 14869.861 8049.1 8350.248948597 -264.82 311.95 70129.6324 97312.8025 -82610.599 8072.16 8351.994597726 1207.18 -559.05 1457283.55 312536.902 -674873.979 8095.22 8353.740238672 -698.82 386.95 488349.392 149730.303 -270408.399 8118.28 8355.485878248 -454.82 -37.05 206861.232 1372.7025 16851.081 8141.34 8357.231528545 -367.82 259.95 135291.552 67574.0025 -95614.809 8164.4 8358.977166977 965.18 -1308.05 931572.432 1710994.8 -1262503.7 8187.46 8360.72288903 -60.82 617.95 3699.0724 381862.203 -37583.719 8210.52 8362.468447812 -584.82 -473.05 342014.432 223776.302 276649.101 8233.58 8364.214097783 -274.82 -502.05 75526.0324 252054.202 137973.381 8256.64 8365.959737978 -766.82 -307.05 588012.912 94279.7025 235452.081 8279.7 8367.705378357 335.18 71.95 112345.632 5176.8025 24116.201 8302.76 8369.451028349 41.18 63.95 1695.7924 4089.6025 2633.461 8325.82 8371.196668784 -296.82 498.95 88102.1124 248951.103 -148098.339 8348.88 8372.94238099 -469.82 -186.05 220730.832 34614.6025 87410.011 8371.94 8374.68795

828505 33563422.8 51292666.7 2540752.9

5500 6000 6500 7000 7500 8000 8500 90000

2000

4000

6000

8000

10000

12000

f(x) = 0.0757000535424534 x + 7740.93164114648

Correlacion AL estrato 1 y 2

AL x

AL y

5500 6000 6500 7000 7500 8000 8500 90000

2000

4000

6000

8000

10000

12000

f(x) = 0.0757000535424534 x + 7740.93164114648

Correlacion AL estrato 1 y 2

AL x

AL y

Estrato 2 Estrato 3

NID AD x NID AD y N1 3840 1 4828 Intervalo aleatorio x2 3624 2 4589 Intervalo aleatorio y3 4377 3 6184 Media x4 5219 4 6383 Media y5 3723 5 4299 Desviacion stn x6 5137 6 5599 Desviacion stn y7 3749 7 4334 Correlacion lineal8 4532 8 3663 b19 2814 9 3810 b0


41 4480 41 417542 3689 42 374543 4670 43 537144 4996 44 526945 4102 45 536846 4233 46 382247 3758 47 361248 4271 48 553849 3863 49 366550 4571 50 454251 2812 51 465852 3519 52 531053 4168 53 484954 5034 54 503055 3420 55 369256 4273 56 414457 4336 57 431358 3913 58 488859 3853 59 448960 2943 60 519961 3783 61 404062 4105 62 459263 4690 63 448164 4246 64 533365 3001 65 468166 4230 66 486467 4119 67 472668 3864 68 453769 2451 69 529370 4161 70 375971 4435 71 519872 3749 72 421473 4050 73 485074 3592 74 526775 4576 75 437576 2977 76 417877 3630 77 444178 3856 78 618679 4527 79 510380 3739 80 377481 3178 81 488082 3460 82 3952

83 3571 83 451984 3424 84 564585 5061 85 470086 4256 86 550687 4574 87 407688 4000 88 422889 4287 89 476890 3177 90 365591 3248 91 442792 3905 92 340593 3975 93 416394 3788 94 388195 5770 95 408496 4326 96 525197 4964 97 497798 4229 98 560499 4177 99 4554

100 4467 100 3474101 4108 101 4729102 3686 102 4136103 3510 103 5288104 4045 104 4304105 3932 105 4286106 4441 106 4543107 4404 107 4887108 4243 108 5904109 3940 109 6333110 4639 110 5282111 5134 111 5074112 3777 112 5024113 4876 113 5387114 3534 114 5398115 4801 115 4872116 4419 116 4182117 3030 117 5302118 3726 118 4401119 5217 119 4748120 4669 120 4575121 4418 121 4507122 2577 122 3759123 4032 123 6205124 4627 124 4738

125 3132 125 4475126 4049 126 5732127 4593 127 6215128 4642 128 5366129 4230 129 5581130 3468 130 4224131 3985 131 5298132 4409 132 5456133 3988 133 4684134 3770 134 5540135 3925 135 4391136 4345 136 4207137 3282 137 4772138 4572 138 4956139 4297 139 4102140 3429 140 5222141 4175 141 4757142 4481 142 4949143 3700 143 5549144 4234 144 4488145 3490 145 4683146 4278 146 5454147 5006 147 4509148 3905 148 3684149 3604 149 5329150 3659 150 5332151 4524 151 3835152 3976 152 3989153 4212 153 3915154 4143 154 5081155 2587 155 5454156 4175 156 5589157 4121 157 4100158 4061 158 4878159 2748 159 5288160 4403 160 5208161 4885 161 5223162 3308 162 4889163 3731 163 4805164 4144 164 6452165 3593 165 3323166 4665 166 4606

167 4256 167 5042168 3563 168 5032169 4833 169 4946170 3825 170 4129171 4376 171 3981172 3998 172 5015173 4213 173 4294174 3280 174 5362175 3582 175 6462176 3845 176 5406177 3664 177 5102178 6076 178 4883179 4380 179 4289180 4009 180 4135181 4127 181 4824182 5062 182 4022183 4248 183 4519184 3520 184 4169185 5736 185 5685186 3882 186 4967187 3307 187 3677188 3848 188 4499189 2950 189 4724190 2885 190 5356191 4190 191 4959192 3833 192 4438193 4278 193 2702194 4716 194 5056195 5131 195 5355196 3375 196 4958197 3413 197 4579198 4691 198 4754199 5152 199 6990200 2895 200 5930201 4305 201 5015202 3688 202 5368203 2931 203 4618204 3931 204 5613205 4646 205 3389206 4816 206 4440207 3812 207 5045208 5203 208 5212

209 5324 209 4465210 4509 210 4325211 3537 211 3842212 3617 212 3920213 4593 213 5060214 3848 214 4612215 4238 215 5797216 4585 216 5790217 4717 217 5253218 4082 218 4246219 4344 219 4752220 3019 220 3709221 4532 221 5402222 4324 222 5655223 3813 223 4157224 3955 224 3787225 3412 225 4717226 4160 226 4871227 4038 227 3407228 4650 228 4457229 4199 229 5383230 4376 230 4939231 3173 231 4902232 3757 232 4674233 3975 233 4829234 4224 234 5737235 3666 235 5451236 4082 236 3773237 4155 237 6184238 4902 238 5776239 2612 239 5288240 4207 240 5179241 4706 241 5981242 3723 242 4121243 5284 243 4948244 3636 244 3924245 4581 245 5551246 4176 246 4922247 3844 247 4690248 4114 248 3818249 4101 249 4739250 3905 250 4190

251 3576 251 3987252 3525 252 4431253 3694 253 5301254 3648 254 2964255 3622 255 5700256 3053 256 4944257 3847 257 5190258 3419 258 4299259 5456 259 4896260 4379 260 5125261 5152 261 4863262 5577 262 5659263 4080 263 4839264 3699 264 5017265 3473 265 4677266 3727 266 3047267 3722 267 4137268 4611 268 4582269 3500 269 4369270 4267 270 4596271 4815 271 4702272 4454 272 4302273 4789 273 4229274 3282 274 3407275 4407 275 4733276 4239 276 4450277 4634 277 4168278 3479 278 5096279 4514 279 5174280 4753 280 3647281 4291 281 4083282 4849 282 4829283 4115 283 5121284 4365 284 4938285 3502 285 4763286 4209 286 4795287 4448 287 3908288 4226 288 4586289 3724 289 4388290 3944 290 5533291 3192 291 4084292 3078 292 4311

293 3343 293 4445294 4201 294 3695295 3974 295 4251296 2982 296 4545297 3917 297 4269298 4235 298 4232299 4087 299 5259300 2929 300 4807301 3476 301 4310302 2822 302 5576303 4572 303 5314304 5284 304 4422305 3655 305 4903306 4601 306 4129307 4571 307 5495308 3831 308 5539309 4943 309 4507310 4910 310 4496311 4950 311 4590312 3923 312 4662313 3075 313 3826314 3037 314 4214315 4345 315 5425316 4106 316 4974317 4588 317 4101318 4497 318 4590319 4721 319 5609320 3987 320 4259321 3710 321 5630322 4062 322 3914323 3848 323 3186324 3008 324 4528325 4157 325 4511326 2409 326 5914327 4172 327 3656328 3640 328 4964329 4572 329 5615330 4136 330 4708331 4768 331 4239332 4076 332 4530333 3474 333 4707334 3827 334 5241

335 5167 335 4436336 4937 336 3785337 4438 337 3961338 3944 338 5258339 4232 339 4680340 3932 340 4612341 4533 341 4155342 3550 342 3877343 4098 343 5384344 4362 344 4213345 4786 345 4443346 4053 346 4183347 4053 347 4643348 4096 348 4354349 3828 349 5270350 3398 350 5265351 4498352 3059353 4865354 3418355 4562356 3713357 5066358 4130359 2973360 4713361 4529362 4529363 4314364 4425365 3825366 4420367 3591368 4300369 3930370 3681371 3814372 4341373 3412374 4807375 5710376 4447

377 3967378 4526379 3334380 4317381 2840382 3592383 4626384 3657385 3603386 4769387 4407388 4725389 4157390 4251391 4032392 3544393 3953394 3431395 4904396 4470397 5293398 4961399 4604400 4418401 4074402 4309403 5328404 3207405 3846406 3539407 3776408 4057409 4222410 2819411 3655412 4379413 4461414 4152415 3459416 3289417 4620418 4507

419 3646420 5051421 3687422 3162423 3520424 5345425 4247426 4279427 4000428 5030429 3680430 4727431 3131432 4219433 2960434 3783435 5030436 3798437 4450438 4333439 3768440 4367441 3294442 4746443 3420444 4106445 4316446 4709447 3638448 4654449 3043450 4759451 3949452 3836453 3512454 4288455 3020456 4266457 4974458 3776459 2897460 4287

461 4059462 3601463 4796464 3248465 3817466 4115467 4764468 4429469 5409470 3612471 3883472 3870473 3327474 4058475 4116476 4514477 3442478 3743479 4898480 3998481 3673482 4605483 4373484 4154485 3439486 5400487 4647488 4259489 4515490 4124491 2531492 3288493 3504494 4321495 3982496 3867497 5411498 3926499 4769500 3551501 3752502 4251

503 4428504 4529505 4508506 4903507 5125508 3780509 4367510 4772511 4433512 4476513 4672514 3132515 3827516 3677517 3851518 2925519 3369520 2866521 4938522 3919523 3487524 3599525 4310526 4677527 3966528 3181529 3999530 4212531 3463532 4443533 3957534 3575535 4410536 4825537 3500538 3869539 4425540 3706541 3872542 4081543 3090544 4327

545 4026546 5132547 4363548 3414549 4074550 3187551 4954552 4594553 4176554 3987555 4565556 4174557 4296558 3336559 3814560 4208561 6178562 4539563 4268564 4725565 4953566 3786567 4028568 4519569 4644570 2949571 3194572 4260573 4233574 4085575 3531576 4057577 4693578 4348579 3392580 3750581 4406582 5347583 4183584 3903585 2475586 4577

587 3670588 3238589 4836590 4516591 3818592 4034593 3733594 3813595 4874596 4882597 3839598 5013599 5358600 3428601 3391602 3439603 5277604 4335605 4753606 4673607 4936608 4965609 4804610 4069611 4855612 3119613 6321614 5203615 4565616 4688617 4537618 4763619 3969620 4638621 3408622 4408623 4766624 3638625 5399626 3688627 3664628 4987

629 2900630 5519631 2892632 3191633 5006


6 1 6 5137 33 2 12 4014 6

4106.73 3 18 3879 94851.3 4 24 5359 12

566.625450461865 5 30 5038 15684.462976103577 6 36 4038 18

0.118504189577538 7 42 3689 210.143148759401592 8 48 4271 24

4263.4266953027 9 54 5034 274263,4266953027+(0,143148759401592*x) 10 60 2943 30

2929 11 66 4230 335400 12 72 3749 362471 13 78 3856 39

24.71 14 84 3424 4215 90 3177 4516 96 4326 4817 102 3686 5118 108 4243 5419 114 3534 5720 120 4669 6021 126 4049 6322 132 4409 6623 138 4572 6924 144 4234 7225 150 3659 7526 156 4175 7827 162 3308 8128 168 3563 8429 174 3280 8730 180 4009 9031 186 3882 9332 192 3833 9633 198 4691 9934 204 3931 10235 210 4509 10536 216 4585 10837 222 4324 11138 228 4650 11439 234 4224 11740 240 4207 120

41 246 4176 12342 252 3525 12643 258 3419 12944 264 3699 13245 270 4267 13546 276 4239 13847 282 4849 14148 288 4226 14449 294 4201 14750 300 2929 15051 306 4601 15352 312 3923 15653 318 4497 15954 324 3008 16255 330 4136 16556 336 4937 16857 342 3550 17158 348 4096 17459 354 3418 17760 360 4713 18061 366 4420 18362 372 4341 18663 378 4526 18964 384 3657 19265 390 4251 19566 396 4470 19867 402 4309 20168 408 4057 20469 414 4152 20770 420 5051 21071 426 4279 21372 432 4219 21673 438 4333 21974 444 4106 22275 450 4759 22576 456 4266 22877 462 3601 23178 468 4429 23479 474 4058 23780 480 3998 24081 486 5400 24382 492 3288 246

83 498 3926 24984 504 4529 25285 510 4772 25586 516 3677 25887 522 3919 26188 528 3181 26489 534 3575 26790 540 3706 27091 546 5132 27392 552 4594 27693 558 3336 27994 564 4725 28295 570 2949 28596 576 4057 28897 582 5347 29198 588 3238 29499 594 3813 297

100 600 3428 300Total 410673


6184 1030.27 1332.7 1061456.27 1776089.29 1373040.83 2929 4682.709415599 -92.73 747.7 8598.8529 559055.29 -69334.221 2953.71 4686.246623810 -227.73 -1041.3 51860.9529 1084305.69 237135.249 2978.42 4689.783825075 1252.27 223.7 1568180.15 50041.69 280132.799 3003.13 4693.321034155 931.27 -696.3 867263.813 484833.69 -648443.301 3027.84 4696.858234382 -68.73 -469.3 4723.8129 220242.49 32254.989 3052.55 4700.395442302 -417.73 -2549.3 174498.353 6498930.49 1064919.09 3077.26 4703.932655475 164.27 623.7 26984.6329 389001.69 102455.199 3101.97 4707.469856574 927.27 1722.7 859829.653 2967695.29 1597408.03 3126.68 4711.007064299 -1163.73 -552.3 1354267.51 305035.29 642728.079 3151.39 4714.544265239 123.27 387.7 15195.4929 150311.29 47791.779 3176.1 4718.081475308 -357.73 456.7 127970.753 208574.89 -163375.291 3200.81 4721.618684816 -250.73 -35.3 62865.5329 1246.09 8850.769 3225.52 4725.155883745 -682.73 -1106.3 466120.253 1223899.69 755304.199 3250.23 4728.693095368 -929.73 516.7 864397.873 266978.89 -480391.491 3274.94 4732.230295538 219.27 686.7 48079.3329 471556.89 150572.709 3299.65 4735.76754658 -420.73 -193.3 177013.733 37364.89 81327.109 3324.36 4739.304715030 136.27 178.7 18569.5129 31933.69 24351.449 3349.07 4742.841914313 -572.73 -538.3 328019.653 289766.89 308300.559 3373.78 4746.379125199 562.27 347.7 316147.553 120895.29 195501.279 3398.49 4749.916324481 -57.73 -370.3 3332.7529 137122.09 21377.419 3423.2 4753.453534864 302.27 12.7 91367.1529 161.29 3838.829 3447.91 4756.990735293 465.27 441.7 216476.173 195098.89 205509.759 3472.62 4760.527944214 127.27 -637.3 16197.6529 406151.29 -81109.171 3497.33 4764.065154375 -447.73 -476.3 200462.153 226861.69 213253.799 3522.04 4767.602356186 68.27 1334.7 4660.7929 1781424.09 91119.969 3546.75 4771.139564880 -798.73 28.7 637969.613 823.69 -22923.551 3571.46 4774.676765645 -543.73 793.7 295642.313 629959.69 -431558.501 3596.17 4778.213974076 -826.73 -775.3 683482.493 601090.09 640963.769 3620.88 4781.751183655 -97.73 -1196.3 9551.1529 1431133.69 116914.399 3645.59 4785.288384163 -224.73 -688.3 50503.5729 473756.89 154681.659 3670.3 4788.825595251 -273.73 399.7 74928.1129 159760.09 -109409.881 3695.01 4792.362794554 584.27 -297.3 341371.433 88387.29 -173703.471 3719.72 4795.94136 -175.73 -715.3 30881.0329 511654.09 125699.669 3744.43 4799.43724286 402.27 -565.3 161821.153 319564.09 -227403.231 3769.14 4802.974415904 478.27 1052.7 228742.193 1108177.29 503474.829 3793.85 4806.511625074 217.27 222.7 47206.2529 49595.29 48386.029 3818.56 4810.048825398 543.27 546.7 295142.293 298880.89 297005.709 3843.27 4813.586035302 117.27 450.7 13752.2529 203130.49 52853.589 3867.98 4817.123234575 100.27 -276.3 10054.0729 76341.69 -27704.601 3892.69 4820.66044

6205 69.27 1353.7 4798.3329 1832503.69 93770.799 3917.4 4824.197655732 -581.73 880.7 338409.793 775632.49 -512329.611 3942.11 4827.734855581 -687.73 729.7 472972.553 532462.09 -501836.581 3966.82 4831.272065456 -407.73 604.7 166243.753 365662.09 -246554.331 3991.53 4834.809264391 160.27 -460.3 25686.4729 211876.09 -73772.281 4016.24 4838.346474956 132.27 104.7 17495.3529 10962.09 13848.669 4040.95 4841.883674757 742.27 -94.3 550964.753 8892.49 -69996.061 4065.66 4845.420884488 119.27 -363.3 14225.3329 131986.89 -43330.791 4090.37 4848.958094509 94.27 -342.3 8886.8329 117169.29 -32268.621 4115.08 4852.495295332 -1177.73 480.7 1387047.95 231072.49 -566134.811 4139.79 4856.03253915 494.27 -936.3 244302.833 876657.69 -462785 4164.5 4859.56975589 -183.73 737.7 33756.7129 544201.29 -135537.621 4189.21 4863.106915288 390.27 436.7 152310.673 190706.89 170430.909 4213.92 4866.644124889 -1098.73 37.7 1207207.61 1421.29 -41422.121 4238.63 4870.181323323 29.27 -1528.3 856.7329 2335700.89 -44733.341 4263.34 4873.718535032 830.27 180.7 689348.273 32652.49 150029.789 4288.05 4877.255733981 -556.73 -870.3 309948.293 757422.09 484522.119 4312.76 4880.792945362 -10.73 510.7 115.1329 260814.49 -5479.811 4337.47 4884.330145102 -688.73 250.7 474349.013 62850.49 -172664.611 4362.18 4887.867354135 606.27 -716.3 367563.313 513085.69 -434271.201 4386.89 4891.404564519 313.27 -332.3 98138.0929 110423.29 -104099.621 4411.6 4894.941764967 234.27 115.7 54882.4329 13386.49 27105.039 4436.31 4898.478974724 419.27 -127.3 175787.333 16205.29 -53373.071 4461.02 4902.016174438 -449.73 -413.3 202257.073 170816.89 185873.409 4485.73 4905.553385355 144.27 503.7 20813.8329 253713.69 72668.799 4510.44 4909.090594754 363.27 -97.3 131965.093 9467.29 -35346.171 4535.15 4912.627795015 202.27 163.7 40913.1529 26797.69 33111.599 4559.86 4916.1655613 -49.73 761.7 2473.0729 580186.89 -37879.341 4584.57 4919.70225045 45.27 193.7 2049.3729 37519.69 8768.799 4609.28 4923.239414325 944.27 -526.3 891645.833 276991.69 -496969.301 4633.99 4926.776615060 172.27 208.7 29676.9529 43555.69 35952.749 4658.7 4930.313825790 112.27 938.7 12604.5529 881157.69 105387.849 4683.41 4933.851034752 226.27 -99.3 51198.1129 9860.49 -22468.611 4708.12 4937.388235655 -0.73 803.7 0.5329 645933.69 -586.701 4732.83 4940.925444717 652.27 -134.3 425456.153 18036.49 -87599.861 4757.54 4944.462644457 159.27 -394.3 25366.9329 155472.49 -62800.161 4782.25 4947.999854902 -505.73 50.7 255762.833 2570.49 -25640.511 4806.96 4951.537065737 322.27 885.7 103857.953 784464.49 285434.539 4831.67 4955.074266184 -48.73 1332.7 2374.6129 1776089.29 -64942.471 4856.38 4958.611475179 -108.73 327.7 11822.2129 107387.29 -35630.821 4881.09 4962.148674948 1293.27 96.7 1672547.29 9350.89 125059.209 4905.8 4965.685884922 -818.73 70.7 670318.813 4998.49 -57884.211 4930.51 4969.22309

4739 -180.73 -112.3 32663.3329 12611.29 20295.979 4955.22 4972.760294431 422.27 -420.3 178311.953 176652.09 -177480.081 4979.93 4976.29755700 665.27 848.7 442584.173 720291.69 564614.649 5004.64 4979.83474299 -429.73 -552.3 184667.873 305035.29 237339.879 5029.35 4983.371914863 -187.73 11.7 35242.5529 136.89 -2196.441 5054.06 4986.909115017 -925.73 165.7 856976.033 27456.49 -153393.461 5078.77 4990.446324137 -531.73 -714.3 282736.793 510224.49 379814.739 5103.48 4993.983534596 -400.73 -255.3 160584.533 65178.09 102306.369 5128.19 4997.520734229 1025.27 -622.3 1051178.57 387257.29 -638025.521 5152.9 5001.057944450 487.27 -401.3 237432.053 161041.69 -195541.451 5177.61 5004.595145174 -770.73 322.7 594024.733 104135.29 -248714.571 5202.32 5008.132354829 618.27 -22.3 382257.793 497.29 -13787.421 5227.03 5011.669564763 -1157.73 -88.3 1340338.75 7796.89 102227.559 5251.74 5015.206764586 -49.73 -265.3 2473.0729 70384.09 13193.369 5276.45 5018.743974084 1240.27 -767.3 1538269.67 588749.29 -951659.171 5301.16 5022.281173695 -868.73 -1156.3 754691.813 1337029.69 1004512.5 5325.87 5025.818384269 -293.73 -582.3 86277.3129 339073.29 171038.979 5350.58 5029.355584807 -678.73 -44.3 460674.413 1962.49 30067.739 5375.29 5032.89279

485130 31785375.7 46380467 4550037.1

2500 3000 3500 4000 4500 5000 5500 60000

1000

2000

3000

4000

5000

6000

7000

f(x) = 0.143148759401592 x + 4263.4266953027

Correlacion AD estrato 2 y 3

AD x

AD y

2500 3000 3500 4000 4500 5000 5500 60000

1000

2000

3000

4000

5000

6000

7000

f(x) = 0.143148759401592 x + 4263.4266953027

Correlacion AD estrato 2 y 3

AD x

AD y

Estrato 2 Estrato 3

NID ING x NID ING y N1 41739 1 47298 Intervalo aleatorio x2 43480 2 55049 Intervalo aleatorio y3 43698 3 52371 Media x4 42086 4 53344 Media y5 40847 5 51243 Desviacion stn x6 42546 6 44914 Desviacion stn y7 40902 7 45132 Correlacion lineal8 41463 8 44147 b19 39982 9 44665 b0


41 42084 41 4737742 41973 42 4541943 42979 43 5016144 42747 44 4426245 41282 45 4630946 41896 46 5013247 38656 47 5208248 43406 48 4897949 40915 49 4840250 42174 50 4710251 38177 51 4680052 39724 52 4742953 39387 53 4520454 43896 54 4533055 38341 55 4941756 38213 56 4499857 42491 57 4490158 39336 58 4743659 40630 59 4945060 38009 60 4666661 40624 61 4527462 42429 62 4809763 43865 63 4808964 42224 64 4731865 39465 65 4544966 43499 66 4541467 43023 67 4570768 41807 68 4641069 38248 69 4824670 43247 70 4431671 38531 71 4665872 39294 72 4936173 43486 73 4687074 41733 74 4410575 39962 75 4597776 40885 76 4436777 41855 77 4642278 42090 78 4621679 42886 79 4572080 43218 80 4682581 39265 81 4976282 38251 82 46490

83 43726 83 4620884 40527 84 4689885 40665 85 4768986 42587 86 5158287 41246 87 4489688 39421 88 4899189 39931 89 4694590 38720 90 4718891 42823 91 4657592 38974 92 4590193 41035 93 4815294 40065 94 4430895 42070 95 5477496 39142 96 4547897 40188 97 4669598 43451 98 4633299 42600 99 46949

100 40653 100 44708101 43918 101 46201102 41808 102 48307103 39555 103 44631104 40909 104 44115105 39480 105 47606106 38268 106 45420107 42005 107 51478108 41243 108 48384109 40604 109 51783110 42380 110 47048111 42576 111 46346112 39953 112 44699113 40821 113 47639114 38477 114 51988115 39286 115 45570116 38259 116 49722117 40202 117 48721118 43219 118 44220119 43776 119 49331120 43048 120 44943121 43331 121 44085122 38894 122 44530123 38530 123 52149124 40199 124 49936

125 41127 125 50727126 43164 126 44892127 43335 127 48894128 43199 128 44129129 42073 129 53722130 42861 130 44837131 40394 131 47314132 40359 132 44711133 41013 133 44816134 43257 134 50802135 41589 135 51030136 40487 136 46372137 42303 137 44405138 43765 138 45853139 42203 139 44936140 40079 140 46310141 40708 141 45121142 39891 142 44671143 38876 143 51093144 43803 144 47224145 39878 145 46479146 39127 146 44613147 38264 147 44254148 40260 148 44279149 40233 149 45336150 39271 150 47129151 41121 151 46411152 40345 152 45130153 39273 153 45678154 38809 154 46324155 39924 155 45747156 42489 156 53226157 41503 157 46966158 38966 158 48022159 38755 159 45505160 42717 160 46175161 43319 161 44292162 42794 162 46252163 40103 163 49027164 38667 164 48637165 41896 165 46187166 43914 166 44001

167 39205 167 46791168 40472 168 45672169 38160 169 45244170 40750 170 47039171 41624 171 45132172 41043 172 44962173 40788 173 45053174 43026 174 44527175 40555 175 44419176 41944 176 44614177 42686 177 48354178 43039 178 48688179 38898 179 44565180 42444 180 46550181 40689 181 44779182 42261 182 47597183 40723 183 44070184 39005 184 44128185 42781 185 54576186 38735 186 46780187 41183 187 44410188 40597 188 45018189 43463 189 47729190 38675 190 47787191 43871 191 46877192 39111 192 47705193 40785 193 45200194 38715 194 48075195 41785 195 48244196 41432 196 46498197 39840 197 50531198 43339 198 47974199 40556 199 55118200 39973 200 48708201 39164 201 44482202 42847 202 51606203 39604 203 46634204 40961 204 51969205 40852 205 44188206 38883 206 49818207 39562 207 45772208 39223 208 46327

209 42258 209 46006210 39844 210 45692211 38952 211 44650212 43349 212 48324213 42621 213 48489214 43265 214 45043215 38848 215 49885216 38370 216 45532217 38469 217 47216218 40371 218 47814219 40004 219 44295220 39476 220 45338221 39124 221 46890222 40169 222 45791223 41512 223 44907224 40763 224 45716225 38856 225 44595226 38825 226 44690227 41313 227 44111228 38745 228 44461229 38726 229 44076230 38504 230 51069231 40223 231 45535232 43314 232 46482233 41689 233 46564234 40525 234 47052235 41657 235 44257236 38256 236 44707237 41905 237 50229238 43746 238 44476239 38993 239 50964240 42084 240 46924241 42164 241 46794242 39930 242 44991243 41999 243 45305244 42948 244 45265245 42115 245 44347246 39166 246 44340247 42740 247 45076248 38201 248 46947249 40340 249 45665250 41213 250 46492

251 38393 251 44227252 42068 252 47945253 41520 253 46974254 39359 254 45449255 41106 255 55379256 40287 256 46520257 39987 257 50273258 39260 258 47392259 42332 259 45693260 43123 260 46969261 43474 261 53049262 42441 262 46606263 40968 263 47826264 41212 264 48484265 41449 265 46539266 41471 266 45221267 39225 267 45132268 39778 268 44129269 41271 269 44176270 38176 270 49053271 43575 271 47643272 43793 272 48640273 41705 273 48380274 38220 274 44907275 41975 275 45648276 42188 276 45131277 41877 277 45513278 38560 278 44480279 38868 279 47904280 39702 280 46768281 40639 281 47208282 40538 282 48700283 43090 283 47368284 41446 284 45474285 38972 285 48589286 38170 286 45333287 41524 287 44264288 41822 288 45047289 42563 289 47236290 42703 290 47278291 39641 291 44565292 41767 292 45225

293 39970 293 46212294 40864 294 45773295 39844 295 46408296 38419 296 46024297 38528 297 48181298 42816 298 51806299 41652 299 47640300 43465 300 44731301 41309 301 44967302 42010 302 45990303 43098 303 48066304 42089 304 46296305 38086 305 45003306 42900 306 44192307 41193 307 45630308 41713 308 45382309 42045 309 45452310 40589 310 44054311 39005 311 46968312 43626 312 48903313 40547 313 46806314 40267 314 47933315 40931 315 46137316 39287 316 46258317 42604 317 44690318 40474 318 45881319 40626 319 45158320 42161 320 49328321 39183 321 44870322 38134 322 44415323 42767 323 47921324 41851 324 47023325 40516 325 54593326 38585 326 47199327 38035 327 44520328 41631 328 44197329 40796 329 47600330 38554 330 47932331 39310 331 48293332 38200 332 48040333 41252 333 44806334 38068 334 48139

335 43177 335 49711336 43625 336 47818337 43568 337 46953338 42676 338 46774339 43687 339 47678340 38530 340 44735341 40913 341 44948342 41268 342 46111343 38627 343 47405344 42236 344 50421345 43007 345 44192346 39246 346 47577347 42935 347 45053348 39139 348 47127349 40173 349 51224350 38415 350 51082351 41769352 39201353 39794354 43818355 40031356 41145357 42550358 38899359 38727360 43274361 38186362 42718363 40697364 40622365 39737366 43437367 38354368 40162369 42509370 41892371 41639372 40169373 41095374 42802375 43735376 41540

377 42386378 38405379 41654380 40421381 39218382 42314383 39338384 40146385 40740386 41521387 38659388 43030389 38700390 38396391 38117392 38288393 40671394 39546395 39979396 39798397 42601398 43773399 38613400 42529401 42670402 40190403 43272404 40324405 40764406 42129407 40712408 42720409 43668410 38623411 39261412 43200413 42036414 39879415 41473416 39537417 41608418 39284

419 40956420 40177421 41238422 38627423 41567424 43970425 40127426 42374427 41458428 43695429 40605430 40173431 39011432 41724433 38231434 41731435 39741436 38742437 38928438 38557439 40863440 43008441 38825442 41138443 41986444 40862445 40766446 41211447 40243448 38657449 43071450 43727451 40289452 42209453 40258454 41734455 39415456 39597457 43592458 38494459 42697460 43698

461 42001462 41061463 43033464 39835465 39875466 43909467 43395468 40430469 40138470 39720471 38141472 40960473 43255474 39067475 43844476 39904477 40350478 39616479 39609480 40178481 38794482 42397483 38852484 38243485 43907486 43422487 40582488 39241489 42812490 43776491 42350492 39692493 40615494 41708495 40796496 38692497 40716498 39039499 41340500 38623501 42623502 43294

503 38274504 43198505 40781506 40475507 42611508 39957509 40950510 38883511 38333512 39751513 40241514 41022515 42728516 42754517 40216518 39405519 43526520 40350521 41444522 41710523 40663524 40047525 40301526 43408527 42074528 41465529 39111530 40045531 39039532 38528533 42949534 39309535 38453536 38876537 38281538 39962539 41712540 40264541 38620542 40562543 39003544 41898

545 40476546 38007547 38333548 40441549 43472550 41770551 42578552 38575553 41059554 39082555 41582556 39876557 41549558 40998559 39242560 42757561 42814562 42877563 43694564 38594565 42020566 38544567 39384568 42345569 38083570 38878571 38768572 38193573 40160574 41786575 43614576 38372577 43884578 42117579 41387580 41188581 41924582 43562583 41895584 40490585 41453586 42630

587 39657588 41556589 43000590 43385591 42920592 42140593 41294594 41243595 41392596 42126597 39245598 41805599 41983600 38764601 38697602 40911603 42237604 40449605 40918606 42173607 42728608 43407609 43591610 41126611 41178612 38095613 42317614 41782615 42512616 39233617 42469618 43325619 41341620 42032621 41177622 40318623 43257624 39378625 39639626 40322627 41196628 43960

629 39154630 41480631 38045632 41410633 41970


6 1 6 42546 33 2 12 38400 6

40900.15 3 18 41672 947069.65 4 24 39957 12

1790.98330519716 5 30 41840 152428.75191531816 6 36 40531 18

-0.0322874167138758 7 42 41973 21-0.043784955983087 8 48 43406 24

48860.4612674517 9 54 43896 2748860,4612674517+(-0,043784955983087*x) 10 60 38009 30

38007 11 66 43499 3343896 12 72 39294 36

5889 13 78 42090 3958.89 14 84 40527 42

15 90 38720 4516 96 39142 4817 102 41808 5118 108 41243 5419 114 38477 5720 120 43048 6021 126 43164 6322 132 40359 6623 138 43765 6924 144 43803 7225 150 39271 7526 156 42489 7827 162 42794 8128 168 40472 8429 174 43026 8730 180 42444 9031 186 38735 9332 192 39111 9633 198 43339 9934 204 40961 10235 210 39844 10536 216 38370 10837 222 40169 11138 228 38745 11439 234 40525 11740 240 42084 120

41 246 39166 12342 252 42068 12643 258 39260 12944 264 41212 13245 270 38176 13546 276 42188 13847 282 40538 14148 288 41822 14449 294 40864 14750 300 43465 15051 306 42900 15352 312 43626 15653 318 40474 15954 324 41851 16255 330 38554 16556 336 43625 16857 342 41268 17158 348 39139 17459 354 43818 17760 360 43274 18061 366 43437 18362 372 40169 18663 378 38405 18964 384 40146 19265 390 38396 19566 396 39798 19867 402 40190 20168 408 42720 20469 414 39879 20770 420 40177 21071 426 42374 21372 432 41724 21673 438 38557 21974 444 40862 22275 450 43727 22576 456 39597 22877 462 41061 23178 468 40430 23479 474 39067 23780 480 40178 24081 486 43422 24382 492 39692 246

83 498 39039 24984 504 43198 25285 510 38883 25586 516 42754 25887 522 41710 26188 528 41465 26489 534 39309 26790 540 40264 27091 546 38007 27392 552 38575 27693 558 40998 27994 564 38594 28295 570 38878 28596 576 38372 28897 582 43562 29198 588 41556 29499 594 41243 297

100 600 38764 300Total 4090015


52371 1645.85 5301.35 2708822.22 28104311.8 8725226.9 38007 47196.326444914 -2500.15 -2155.65 6250750.02 4646826.92 5389448.35 38065.89 47193.747944665 771.85 -2404.65 595752.422 5782341.62 -1856029.1 38124.78 47191.169550378 -943.15 3308.35 889531.923 10945179.7 -3120270.3 38183.67 47188.59147077 939.85 7.35 883318.022 54.0225 6907.8975 38242.56 47186.012544014 -369.15 -3055.65 136271.723 9336996.92 1127993.2 38301.45 47183.43444916 1072.85 -2153.65 1151007.12 4638208.32 -2310543.4 38360.34 47180.855551473 2505.85 4403.35 6279284.22 19389491.2 11034134.6 38419.23 47178.27745079 2995.85 -1990.65 8975117.22 3962687.42 -5963688.8 38478.12 47175.698546370 -2891.15 -699.65 8358748.32 489510.123 2022793.1 38537.01 47173.1246662 2598.85 -407.65 6754021.32 166178.523 -1059421.2 38595.9 47170.541545978 -1606.15 -1091.65 2579717.82 1191699.72 1753353.65 38654.79 47167.96344510 1189.85 -2559.65 1415743.02 6551808.12 -3045599.55 38713.68 47165.384545419 -373.15 -1650.65 139240.923 2724645.42 615940.048 38772.57 47162.80646309 -2180.15 -760.65 4753054.02 578588.423 1658331.1 38831.46 47160.227548979 -1758.15 1909.35 3091091.42 3645617.42 -3356923.7 38890.35 47157.64946800 907.85 -269.65 824191.622 72711.1225 -244801.753 38949.24 47155.070545330 342.85 -1739.65 117546.122 3026382.12 -596439 39008.13 47152.49244901 -2423.15 -2168.65 5871655.92 4703042.82 5254964.25 39067.02 47149.913546666 2147.85 -403.65 4613259.62 162933.323 -866979.653 39125.91 47147.33548089 2263.85 1019.35 5125016.82 1039074.42 2307655.5 39184.8 47144.756545414 -541.15 -1655.65 292843.323 2741176.92 895954.998 39243.69 47142.17848246 2864.85 1176.35 8207365.52 1383799.32 3370066.3 39302.58 47139.599549361 2902.85 2291.35 8426538.12 5250284.82 6651445.35 39361.47 47137.02145977 -1629.15 -1092.65 2654129.72 1193884.02 1780090.75 39420.36 47134.442546216 1588.85 -853.65 2524444.32 728718.323 -1356321.8 39479.25 47131.86449762 1893.85 2692.35 3586667.82 7248748.52 5098907.05 39538.14 47129.285546898 -428.15 -171.65 183312.423 29463.7225 73491.9475 39597.03 47126.707144896 2125.85 -2173.65 4519238.22 4724754.32 -4620853.85 39655.92 47124.128647188 1543.85 118.35 2383472.82 14006.7225 182714.647 39714.81 47121.550148152 -2165.15 1082.35 4687874.52 1171481.52 -2343450.1 39773.7 47118.971645478 -1789.15 -1591.65 3201057.72 2533349.72 2847700.6 39832.59 47116.393146949 2438.85 -120.65 5947989.32 14556.4225 -294247.253 39891.48 47113.814648307 60.85 1237.35 3702.7225 1531035.02 75292.7475 39950.37 47111.236147606 -1056.15 536.35 1115452.82 287671.322 -566466.052 40009.26 47108.657648384 -2530.15 1314.35 6401659.02 1727515.92 -3325502.65 40068.15 47106.079146346 -731.15 -723.65 534580.323 523669.323 529096.698 40127.04 47103.500651988 -2155.15 4918.35 4644671.52 24190166.7 -10599782 40185.93 47100.922148721 -375.15 1651.35 140737.523 2726956.82 -619503.953 40244.82 47098.343644943 1183.85 -2126.65 1401500.82 4522640.22 -2517634.6 40303.71 47095.7651

52149 -1734.15 5079.35 3007276.22 25799796.4 -8808354.8 40362.6 47093.186644892 1167.85 -2177.65 1363873.62 4742159.52 -2543168.55 40421.49 47090.608153722 -1640.15 6652.35 2690092.02 44253760.5 -10910852 40480.38 47088.029644711 311.85 -2358.65 97250.4225 5563229.82 -735545 40539.27 47085.451151030 -2724.15 3960.35 7420993.22 15684372.1 -10788587 40598.16 47082.872645853 1287.85 -1216.65 1658557.62 1480237.22 -1566862.7 40657.05 47080.294145121 -362.15 -1948.65 131152.623 3797236.82 705703.598 40715.94 47077.715647224 921.85 154.35 849807.422 23823.9225 142287.547 40774.83 47075.137144254 -36.15 -2815.65 1306.8225 7927884.92 101785.748 40833.72 47072.558647129 2564.85 59.35 6578455.52 3522.4225 152223.847 40892.61 47069.980145678 1999.85 -1391.65 3999400.02 1936689.72 -2783091.25 40951.5 47067.401653226 2725.85 6156.35 7430258.22 37900645.3 16781286.6 41010.39 47064.823145505 -426.15 -1564.65 181603.823 2448129.62 666775.598 41069.28 47062.244746252 950.85 -817.65 904115.722 668551.523 -777462.503 41128.17 47059.666246187 -2346.15 -882.65 5504419.82 779071.023 2070829.3 41187.06 47057.087745672 2724.85 -1397.65 7424807.52 1953425.52 -3808386.6 41245.95 47054.509245132 367.85 -1937.65 135313.622 3754487.52 -712764.552 41304.84 47051.930744527 -1761.15 -2542.65 3101649.32 6465069.02 4477988.05 41363.73 47049.352248354 2917.85 1284.35 8513848.62 1649554.92 3747540.65 41422.62 47046.773746550 2373.85 -519.65 5635163.82 270036.123 -1233571.15 41481.51 47044.195244070 2536.85 -2999.65 6435607.92 8997900.12 -7609662.1 41540.4 47041.616746780 -731.15 -289.65 534580.323 83897.1225 211777.598 41599.29 47039.038247729 -2495.15 659.35 6225773.52 434742.422 -1645177.15 41658.18 47036.459747705 -754.15 635.35 568742.223 403669.622 -479149.202 41717.07 47033.881248244 -2504.15 1174.35 6270767.22 1379097.92 -2940748.55 41775.96 47031.302747974 -1102.15 904.35 1214734.62 817848.922 -996729.352 41834.85 47028.724244482 -710.15 -2587.65 504313.023 6695932.52 1837619.65 41893.74 47026.145751969 1819.85 4899.35 3311854.02 24003630.4 8916082.1 41952.63 47023.567245772 -1021.15 -1297.65 1042747.32 1683895.52 1325095.3 42011.52 47020.988745692 -723.15 -1377.65 522945.923 1897919.52 996247.598 42070.41 47018.410248489 1473.85 1419.35 2172233.82 2014554.42 2091909 42129.3 47015.831745532 823.85 -1537.65 678728.822 2364367.52 -1266793 42188.19 47013.253244295 -2343.15 -2774.65 5490351.92 7698682.62 6501421.15 42247.08 47010.674745791 -38.15 -1278.65 1455.4225 1634945.82 48780.4975 42305.97 47008.096244595 2826.85 -2474.65 7991080.92 6123892.62 -6995464.35 42364.86 47005.517744461 -1303.15 -2608.65 1698199.92 6805054.82 3399462.25 42423.75 47002.939245535 160.85 -1534.65 25872.7225 2355150.62 -246848.452 42482.64 47000.360747052 -470.15 -17.65 221041.023 311.5225 8298.1475 42541.53 46997.782250229 -1833.15 3159.35 3360438.92 9981492.42 -5791562.45 42600.42 46995.203846924 -722.15 -145.65 521500.623 21213.9225 105181.148 42659.31 46992.625345305 2521.85 -1764.65 6359727.42 3113989.62 -4450182.6 42718.2 46990.046844340 -1208.15 -2729.65 1459626.42 7450989.12 3297826.65 42777.09 46987.4683

45665 -1861.15 -1404.65 3463879.32 1973041.62 2614264.35 42835.98 46984.889847945 2297.85 875.35 5280114.62 766237.622 2011423 42894.87 46982.311355379 -2017.15 8309.35 4068894.12 69045297.4 -16761205 42953.76 46979.732847392 1853.85 322.35 3436759.82 103909.522 597588.547 43012.65 46977.154353049 809.85 5979.35 655857.022 35752626.4 4842376.6 43071.54 46974.575848484 564.85 1414.35 319055.522 2000385.92 798895.597 43130.43 46971.997345132 -1591.15 -1937.65 2531758.32 3754487.52 3083091.8 43189.32 46969.418849053 -636.15 1983.35 404686.823 3933677.22 -1261708.1 43248.21 46966.840348380 -2893.15 1310.35 8370316.92 1717017.12 -3791039.1 43307.1 46964.261845131 -2325.15 -1938.65 5406322.52 3758363.82 4507652.05 43365.99 46961.683347904 97.85 834.35 9574.6225 696139.922 81641.1475 43424.88 46959.104848700 -2306.15 1630.35 5318327.82 2658041.12 -3759831.65 43483.77 46956.526348589 -2022.15 1519.35 4089090.62 2308424.42 -3072353.6 43542.66 46953.947845047 -2528.15 -2022.65 6391542.42 4091113.02 5113562.6 43601.55 46951.369344565 2661.85 -2504.65 7085445.42 6273271.62 -6667002.6 43660.44 46948.790845773 655.85 -1296.65 430139.222 1681301.22 -850407.902 43719.33 46946.212348181 342.85 1111.35 117546.122 1235098.82 381026.347 43778.22 46943.633844731 -2136.15 -2338.65 4563136.82 5469283.82 4995707.2 43837.11 46941.0553

4706965 317554499 583984751 -13904110

37000 38000 39000 40000 41000 42000 43000 44000 450000

10000

20000

30000

40000

50000

60000

f(x) = − 0.043784955983087 x + 48860.4612674517


ING x

ING

y

37000 38000 39000 40000 41000 42000 43000 44000 450000

10000

20000

30000

40000

50000

60000

f(x) = − 0.043784955983087 x + 48860.4612674517


ING x

ING

y

Date post:	20-Feb-2016
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