﻿243:@0.890754:0.963104:0.932133:0.963104:0.932133:0.941283:0.890754:0.941283:0.000000:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6.º EGB:@0.829358:0.967458:0.879897:0.967458:0.879897:0.954794:0.829358:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.748004:0.068322:0.791647:0.068322:0.791647:0.048070:0.748004:0.048070:0.000000:0.000000:0.000000
. Representación:@0.791647:0.067693:0.923937:0.067693:0.923937:0.050792:0.791647:0.050792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.942579:0.114153:0.942579:0.109046:0.930498:0.109046:0.930498:0.114153:0.000000
Freepik:@0.942579:0.109046:0.942579:0.087395:0.930669:0.087395:0.930669:0.109046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Luego, para llenar la segunda fila de las frecuencias absolutas acumuladas :@0.096359:0.097208:0.716909:0.097208:0.716909:0.079329:0.096359:0.079329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sumamos las dos primeras frecuencias absolutas:   =   +  . Aquí hemos :@0.096359:0.115313:0.716893:0.115313:0.716893:0.097435:0.096359:0.097435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.510780:0.115313:0.519565:0.115313:0.519565:0.097465:0.510780:0.097465:0.000000
2:@0.519603:0.118765:0.525323:0.118765:0.525323:0.108341:0.519603:0.108341:0.000000
f:@0.552461:0.115313:0.557588:0.115313:0.557588:0.097465:0.552461:0.097465:0.000000
1:@0.557603:0.118765:0.563322:0.118765:0.563322:0.108341:0.557603:0.108341:0.000000
f:@0.590461:0.115313:0.595587:0.115313:0.595587:0.097465:0.590461:0.097465:0.000000
2:@0.595602:0.118765:0.601321:0.118765:0.601321:0.108341:0.595602:0.108341:0.000000
enmarcado en un recuadro los números que sumamos 6 + 3 = 9 y :@0.096357:0.133418:0.716893:0.133418:0.716893:0.115540:0.096357:0.115540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
señaladomos el lugar donde colocamos el resultado.:@0.096357:0.151524:0.517002:0.151524:0.517002:0.133645:0.096357:0.133645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El proceso se repite hasta completar la columna de frecuencias absolutas :@0.096357:0.176750:0.716931:0.176750:0.716931:0.158871:0.096357:0.158871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
acumuladas. Un ejemplo más::@0.096357:0.194855:0.335961:0.194855:0.335961:0.176976:0.096357:0.176976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.300328:0.217576:0.308381:0.217576:0.308381:0.202183:0.300328:0.202183:0.000000
f:@0.330328:0.217576:0.335027:0.217576:0.335027:0.202183:0.330328:0.202183:0.000000
f:@0.355132:0.217576:0.359831:0.217576:0.359831:0.202183:0.355132:0.202183:0.000000
f :@0.381981:0.218171:0.389997:0.218171:0.389997:0.202778:0.381981:0.202778:0.000000:0.000000
3:@0.306767:0.219588:0.311979:0.219588:0.311979:0.210507:0.306767:0.210507:0.000000
1:@0.334043:0.219588:0.339255:0.219588:0.339255:0.210507:0.334043:0.210507:0.000000
2:@0.359536:0.219588:0.364747:0.219588:0.364747:0.210507:0.359536:0.210507:0.000000
3:@0.386544:0.219588:0.391756:0.219588:0.391756:0.210507:0.386544:0.210507:0.000000
63 312:@0.410371:0.217576:0.500574:0.217576:0.500574:0.201906:0.410371:0.201906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= + += ++ =:@0.317311:0.217161:0.480930:0.217161:0.480930:0.200219:0.317311:0.200219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso #4.:@0.096359:0.242829:0.158376:0.242829:0.158376:0.224980:0.096359:0.224980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Sumamos los valores en la columna de frecuencias absolutas.:@0.158376:0.242829:0.652535:0.242829:0.652535:0.224950:0.158376:0.224950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6 + 3 + 3 + 2 +1 = 15 y así obtenemos la frecuencia absoluta total, que en el :@0.096359:0.268055:0.716955:0.268055:0.716955:0.250176:0.096359:0.250176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejemplo corresponde al total de autos vendidos y que representamos por n :@0.096359:0.286160:0.716905:0.286160:0.716905:0.268282:0.096359:0.268282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(tamaño de la data). El valor obtenido debe coincidir con la última frecuencia :@0.096359:0.304266:0.716814:0.304266:0.716814:0.286387:0.096359:0.286387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
absoluta acumulada; de no ser así, hubo un error de cálculo y debemos :@0.096359:0.322371:0.716875:0.322371:0.716875:0.304492:0.096359:0.304492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
revisar.:@0.096359:0.340476:0.150335:0.340476:0.150335:0.322597:0.096359:0.322597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso #5.:@0.096359:0.365702:0.161754:0.365702:0.161754:0.347854:0.096359:0.347854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Calculamos cada frecuencia relativa (hi), dividiendo la frecuencia :@0.161754:0.365702:0.716877:0.365702:0.716877:0.347824:0.161754:0.347824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
absoluta de cada dato para la frecuencia absoluta total: :@0.096359:0.391668:0.540787:0.391668:0.540787:0.373789:0.096359:0.373789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.541333:0.391459:0.550841:0.391459:0.550841:0.376066:0.541333:0.376066:0.000000
f:@0.572273:0.382663:0.576972:0.382663:0.576972:0.367270:0.572273:0.367270:0.000000
n:@0.572531:0.402302:0.582039:0.402302:0.582039:0.386909:0.572531:0.386909:0.000000
i:@0.549446:0.393473:0.551646:0.393473:0.551646:0.384552:0.549446:0.384552:0.000000
i:@0.576668:0.384664:0.578868:0.384664:0.578868:0.375743:0.576668:0.375743:0.000000
=:@0.557770:0.391044:0.567887:0.391044:0.567887:0.374102:0.557770:0.374102:0.000000
.:@0.585147:0.391682:0.588645:0.391682:0.588645:0.373803:0.585147:0.373803:0.000000
Las flechas muestran que :@0.096359:0.618400:0.293037:0.618400:0.293037:0.602011:0.096359:0.602011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.130708:0.618400:0.134744:0.618400:0.134744:0.602011:0.130708:0.602011:0.000000
h:@0.300721:0.618546:0.310230:0.618546:0.310230:0.603152:0.300721:0.603152:0.000000
f:@0.331661:0.609749:0.336360:0.609749:0.336360:0.594356:0.331661:0.594356:0.000000
n:@0.331919:0.629389:0.341428:0.629389:0.341428:0.613995:0.331919:0.613995:0.000000
1:@0.308154:0.620559:0.313366:0.620559:0.313366:0.611478:0.308154:0.611478:0.000000
1:@0.335377:0.611751:0.340589:0.611751:0.340589:0.602669:0.335377:0.602669:0.000000
6:@0.363908:0.609793:0.372901:0.609793:0.372901:0.594124:0.363908:0.594124:0.000000
15:@0.359191:0.629405:0.377084:0.629405:0.377084:0.613735:0.359191:0.613735:0.000000:0.000000
040:@0.394222:0.618548:0.426765:0.618548:0.426765:0.602878:0.394222:0.602878:0.000000:0.000000:0.000000
=:@0.317157:0.618133:0.327274:0.618133:0.327274:0.601191:0.317157:0.601191:0.000000
=:@0.345845:0.618133:0.355962:0.618133:0.355962:0.601191:0.345845:0.601191:0.000000
=:@0.381175:0.618133:0.391292:0.618133:0.391292:0.601191:0.381175:0.601191:0.000000
,:@0.403417:0.618548:0.406623:0.618548:0.406623:0.602878:0.403417:0.602878:0.000000
. Repetimos el proceso hasta llenar la :@0.428442:0.618396:0.716576:0.618396:0.716576:0.602007:0.428442:0.602007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
columna de las frecuencias relativas. Mostramos otro ejemplo: el cálculo del valor en :@0.096357:0.646057:0.716539:0.646057:0.716539:0.629668:0.096357:0.629668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la segunda fila:  :@0.096357:0.673717:0.213058:0.673717:0.213058:0.657328:0.096357:0.657328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.185048:0.673717:0.189083:0.673717:0.189083:0.657328:0.185048:0.657328:0.000000
h:@0.213059:0.674244:0.223000:0.674244:0.223000:0.657139:0.213059:0.657139:0.000000
2:@0.223000:0.677551:0.228481:0.677551:0.228481:0.667562:0.223000:0.667562:0.000000
=:@0.233435:0.674244:0.244918:0.674244:0.244918:0.656864:0.233435:0.656864:0.000000
f:@0.251082:0.665048:0.255995:0.665048:0.255995:0.647943:0.251082:0.647943:0.000000
2:@0.255988:0.665843:0.261469:0.665843:0.261469:0.655854:0.255988:0.655854:0.000000
=:@0.267627:0.674244:0.279109:0.674244:0.279109:0.656864:0.267627:0.656864:0.000000
3:@0.287239:0.665048:0.296641:0.665048:0.296641:0.647914:0.287239:0.647914:0.000000
=:@0.306408:0.674244:0.317890:0.674244:0.317890:0.656864:0.306408:0.656864:0.000000
 0,20:@0.317890:0.674244:0.353666:0.674244:0.353666:0.657110:0.317890:0.657110:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.251290:0.685956:0.261231:0.685956:0.261231:0.668851:0.251290:0.668851:0.000000
15:@0.282538:0.685956:0.301341:0.685956:0.301341:0.668822:0.282538:0.668822:0.000000:0.000000
Paso #6.:@0.096359:0.711702:0.154148:0.711702:0.154148:0.695340:0.096359:0.695340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Para verificar que hemos calculado correctamente las frecuencias relativas, :@0.154148:0.711702:0.716539:0.711702:0.716539:0.695313:0.154148:0.695313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.226385:0.711702:0.230420:0.711702:0.230420:0.695313:0.226385:0.695313:0.000000
podemos sumarlas todas, el resultado debe ser 1.:@0.096359:0.728298:0.456800:0.728298:0.456800:0.711909:0.096359:0.711909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso #7. :@0.096359:0.759153:0.157115:0.759153:0.157115:0.742792:0.096359:0.742792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Obtenemos las frecuencias relativas acumuladas. El proceso es similar al de :@0.157705:0.759153:0.716530:0.759153:0.716530:0.742764:0.157705:0.742764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las frecuencias absolutas acumuladas, solo que esta vez utilizamos la columna de :@0.096359:0.775750:0.716466:0.775750:0.716466:0.759361:0.096359:0.759361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
frecuencias relativas; por ejemplo::@0.096359:0.792346:0.343767:0.792346:0.343767:0.775957:0.096359:0.775957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
H:@0.249272:0.825815:0.260384:0.825815:0.260384:0.810422:0.249272:0.810422:0.000000
h:@0.281944:0.825815:0.291453:0.825815:0.291453:0.810422:0.281944:0.810422:0.000000
H:@0.249272:0.846575:0.260384:0.846575:0.260384:0.831182:0.249272:0.831182:0.000000
h:@0.284137:0.846575:0.293645:0.846575:0.293645:0.831182:0.284137:0.831182:0.000000
h:@0.312939:0.846575:0.322448:0.846575:0.322448:0.831182:0.312939:0.831182:0.000000
H:@0.249270:0.867315:0.260382:0.867315:0.260382:0.851922:0.249270:0.851922:0.000000
h:@0.284135:0.867315:0.293644:0.867315:0.293644:0.851922:0.284135:0.851922:0.000000
h:@0.312937:0.867315:0.322446:0.867315:0.322446:0.851922:0.312937:0.851922:0.000000
h:@0.343933:0.867315:0.353441:0.867315:0.353441:0.851922:0.343933:0.851922:0.000000
1:@0.259621:0.827824:0.264833:0.827824:0.264833:0.818743:0.259621:0.818743:0.000000
1:@0.289353:0.827824:0.294565:0.827824:0.294565:0.818743:0.289353:0.818743:0.000000
2:@0.260315:0.848568:0.265527:0.848568:0.265527:0.839487:0.260315:0.839487:0.000000
1:@0.291575:0.848568:0.296786:0.848568:0.296786:0.839487:0.291575:0.839487:0.000000
2:@0.321040:0.848568:0.326251:0.848568:0.326251:0.839487:0.321040:0.839487:0.000000
3:@0.260316:0.869304:0.265528:0.869304:0.265528:0.860223:0.260316:0.860223:0.000000
1:@0.291576:0.869304:0.296787:0.869304:0.296787:0.860223:0.291576:0.860223:0.000000
2:@0.321041:0.869304:0.326252:0.869304:0.326252:0.860223:0.321041:0.860223:0.000000
3:@0.352033:0.869304:0.357245:0.869304:0.357245:0.860223:0.352033:0.860223:0.000000
040:@0.311409:0.825810:0.343953:0.825810:0.343953:0.810141:0.311409:0.810141:0.000000:0.000000:0.000000
0400 20 060:@0.344598:0.846570:0.473407:0.846570:0.473407:0.830900:0.344598:0.830900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0400 20 02,000 80:@0.375575:0.867315:0.551632:0.867315:0.551632:0.851645:0.375575:0.851645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.268620:0.825395:0.278737:0.825395:0.278737:0.808453:0.268620:0.808453:0.000000
=:@0.298359:0.825395:0.308476:0.825395:0.308476:0.808453:0.298359:0.808453:0.000000
=:@0.270813:0.846155:0.280930:0.846155:0.280930:0.829213:0.270813:0.829213:0.000000
+:@0.299925:0.846155:0.310042:0.846155:0.310042:0.829213:0.299925:0.829213:0.000000
=:@0.331532:0.846155:0.341649:0.846155:0.341649:0.829213:0.331532:0.829213:0.000000
+:@0.379957:0.846155:0.390073:0.846155:0.390073:0.829213:0.379957:0.829213:0.000000
=:@0.428112:0.846155:0.438228:0.846155:0.438228:0.829213:0.428112:0.829213:0.000000
=:@0.270795:0.866900:0.280912:0.866900:0.280912:0.849958:0.270795:0.849958:0.000000
+:@0.299907:0.866900:0.310024:0.866900:0.310024:0.849958:0.299907:0.849958:0.000000
+:@0.330887:0.866900:0.309382:0.866900:0.309382:0.849958:0.330887:0.849958:0.000000
=:@0.362509:0.866900:0.341004:0.866900:0.341004:0.849958:0.362509:0.849958:0.000000
+:@0.410937:0.866900:0.373511:0.866900:0.373511:0.849958:0.410937:0.849958:0.000000
+:@0.458480:0.866900:0.421054:0.866900:0.421054:0.849958:0.458480:0.849958:0.000000
,:@0.320586:0.825810:0.323793:0.825810:0.323793:0.810141:0.320586:0.810141:0.000000
,:@0.353775:0.846570:0.356981:0.846570:0.356981:0.830900:0.353775:0.830900:0.000000
,:@0.401889:0.846570:0.405096:0.846570:0.405096:0.830900:0.401889:0.830900:0.000000
,:@0.450354:0.846570:0.453560:0.846570:0.453560:0.830900:0.450354:0.830900:0.000000
,:@0.384751:0.867315:0.387958:0.867315:0.387958:0.851645:0.384751:0.851645:0.000000
,:@0.432866:0.867315:0.436072:0.867315:0.436072:0.851645:0.432866:0.851645:0.000000
=:@0.506613:0.866900:0.516730:0.866900:0.516730:0.849958:0.506613:0.849958:0.000000
,:@0.528856:0.867315:0.532062:0.867315:0.532062:0.851645:0.528856:0.851645:0.000000
La última frecuencia relativa acumulada debe ser 1.:@0.096359:0.894987:0.470291:0.894987:0.470291:0.878598:0.096359:0.878598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
No.:@0.108981:0.435739:0.135627:0.435739:0.135627:0.418838:0.108981:0.418838:0.000000:0.000000:0.000000
Cantidad de :@0.175357:0.427441:0.275640:0.427441:0.275640:0.410540:0.175357:0.410540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
autos vendidos:@0.162863:0.444037:0.284338:0.444037:0.284338:0.427137:0.162863:0.427137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Frecuencia :@0.332766:0.427441:0.422619:0.427441:0.422619:0.410540:0.332766:0.410540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
absoluta (fi):@0.328546:0.444037:0.423023:0.444037:0.423023:0.427137:0.328546:0.427137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.412326:0.444037:0.416140:0.444037:0.416140:0.427137:0.412326:0.427137:0.000000
Frecuencia absoluta :@0.459014:0.427441:0.621951:0.427441:0.621951:0.410540:0.459014:0.410540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
acumulada (Fi):@0.480077:0.444037:0.597072:0.444037:0.597072:0.427137:0.480077:0.427137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Frecuencia :@0.652412:0.427441:0.742265:0.427441:0.742265:0.410540:0.652412:0.410540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relativa (hi):@0.650495:0.444037:0.740349:0.444037:0.740349:0.427137:0.650495:0.427137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Frecuencia relativa :@0.771362:0.427441:0.924715:0.427441:0.924715:0.410540:0.771362:0.410540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
acumulada (Hi):@0.785865:0.444037:0.906380:0.444037:0.906380:0.427137:0.785865:0.427137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.119945:0.467659:0.128938:0.467659:0.128938:0.451270:0.119945:0.451270:0.000000
0:@0.221242:0.467659:0.230235:0.467659:0.230235:0.451270:0.221242:0.451270:0.000000
6:@0.371280:0.467659:0.380273:0.467659:0.380273:0.451270:0.371280:0.451270:0.000000
6:@0.534070:0.467659:0.543062:0.467659:0.543062:0.451270:0.534070:0.451270:0.000000
0,40:@0.680330:0.467659:0.710514:0.467659:0.710514:0.451270:0.680330:0.451270:0.000000:0.000000:0.000000:0.000000
0,40:@0.831049:0.467659:0.861234:0.467659:0.861234:0.451270:0.831049:0.451270:0.000000:0.000000:0.000000:0.000000
2:@0.119964:0.489041:0.128956:0.489041:0.128956:0.472652:0.119964:0.472652:0.000000
1:@0.221260:0.489041:0.230253:0.489041:0.230253:0.472652:0.221260:0.472652:0.000000
3:@0.371298:0.489041:0.380291:0.489041:0.380291:0.472652:0.371298:0.472652:0.000000
9:@0.534088:0.489041:0.543081:0.489041:0.543081:0.472652:0.534088:0.472652:0.000000
0,20:@0.680348:0.489041:0.710533:0.489041:0.710533:0.472652:0.680348:0.472652:0.000000:0.000000:0.000000:0.000000
0,60:@0.831068:0.489041:0.861252:0.489041:0.861252:0.472652:0.831068:0.472652:0.000000:0.000000:0.000000:0.000000
3:@0.119982:0.510423:0.128975:0.510423:0.128975:0.494034:0.119982:0.494034:0.000000
2:@0.221279:0.510423:0.230272:0.510423:0.230272:0.494034:0.221279:0.494034:0.000000
3:@0.371317:0.510423:0.380309:0.510423:0.380309:0.494034:0.371317:0.494034:0.000000
12:@0.529610:0.510423:0.547595:0.510423:0.547595:0.494034:0.529610:0.494034:0.000000:0.000000
0,20:@0.680367:0.510423:0.710551:0.510423:0.710551:0.494034:0.680367:0.494034:0.000000:0.000000:0.000000:0.000000
0,80:@0.831086:0.510423:0.861271:0.510423:0.861271:0.494034:0.831086:0.494034:0.000000:0.000000:0.000000:0.000000
4:@0.120001:0.531804:0.128993:0.531804:0.128993:0.515415:0.120001:0.515415:0.000000
3:@0.221297:0.531804:0.230290:0.531804:0.230290:0.515415:0.221297:0.515415:0.000000
2:@0.371335:0.531804:0.380328:0.531804:0.380328:0.515415:0.371335:0.515415:0.000000
14:@0.529813:0.531804:0.547430:0.531804:0.547430:0.515415:0.529813:0.515415:0.000000:0.000000
0,13:@0.680385:0.531804:0.710570:0.531804:0.710570:0.515415:0.680385:0.515415:0.000000:0.000000:0.000000:0.000000
0,93:@0.831105:0.531804:0.861289:0.531804:0.861289:0.515415:0.831105:0.515415:0.000000:0.000000:0.000000:0.000000
5:@0.120019:0.553186:0.129012:0.553186:0.129012:0.536797:0.120019:0.536797:0.000000
4:@0.221316:0.553186:0.230308:0.553186:0.230308:0.536797:0.221316:0.536797:0.000000
1:@0.371354:0.553186:0.380346:0.553186:0.380346:0.536797:0.371354:0.536797:0.000000
15:@0.529647:0.553186:0.547632:0.553186:0.547632:0.536797:0.529647:0.536797:0.000000:0.000000
0,07:@0.680403:0.553186:0.710588:0.553186:0.710588:0.536797:0.680403:0.536797:0.000000:0.000000:0.000000:0.000000
1,00:@0.831123:0.553186:0.861308:0.553186:0.861308:0.536797:0.831123:0.536797:0.000000:0.000000:0.000000:0.000000
15:@0.366857:0.574568:0.384843:0.574568:0.384843:0.558179:0.366857:0.558179:0.000000:0.000000
1,00:@0.680403:0.574568:0.710588:0.574568:0.710588:0.558179:0.680403:0.558179:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.752458:0.604872:0.908010:0.604872:0.908010:0.587972:0.752458:0.587972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática e :@0.755599:0.631704:0.861808:0.631704:0.861808:0.615572:0.755599:0.615572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
investigación científica:@0.755599:0.646794:0.929793:0.646794:0.929793:0.630662:0.755599:0.630662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La tabla de frecuencia :@0.755599:0.665448:0.912608:0.665448:0.912608:0.649804:0.755599:0.649804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es una herramienta :@0.755599:0.680537:0.894912:0.680537:0.894912:0.664893:0.755599:0.664893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fundamental en el :@0.755599:0.695627:0.887823:0.695627:0.887823:0.679983:0.755599:0.679983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
análisis estadístico y es :@0.755599:0.710716:0.918078:0.710716:0.918078:0.695072:0.755599:0.695072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
utilizada en varios :@0.755599:0.725806:0.884446:0.725806:0.884446:0.710162:0.755599:0.710162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
campos; por ejemplo, :@0.755599:0.740895:0.911113:0.740895:0.911113:0.725251:0.755599:0.725251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la investigación :@0.755599:0.755985:0.889653:0.755985:0.889653:0.740341:0.755599:0.740341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
científica, donde se :@0.755599:0.771074:0.894472:0.771074:0.894472:0.755430:0.755599:0.755430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
emplea para mostrar :@0.755599:0.786164:0.905044:0.786164:0.905044:0.770520:0.755599:0.770520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una visión general de :@0.755599:0.801253:0.909477:0.801253:0.909477:0.785609:0.755599:0.785609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la frecuencia con que :@0.755599:0.816343:0.909547:0.816343:0.909547:0.800699:0.755599:0.800699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aparecen los valores :@0.755599:0.831432:0.900928:0.831432:0.900928:0.815788:0.755599:0.815788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de una muestra o :@0.755599:0.846522:0.882670:0.846522:0.882670:0.830878:0.755599:0.830878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
población y así poder :@0.755599:0.861611:0.910128:0.861611:0.910128:0.845967:0.755599:0.845967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
encontrar patrones, :@0.755599:0.876701:0.896566:0.876701:0.896566:0.861057:0.755599:0.861057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
identificar tendencias :@0.755599:0.891790:0.909811:0.891790:0.909811:0.876146:0.755599:0.876146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y sacar conclusiones :@0.755599:0.906880:0.902124:0.906880:0.902124:0.891236:0.755599:0.891236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
significativas.:@0.755599:0.921969:0.846962:0.921969:0.846962:0.906325:0.755599:0.906325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000