﻿88:@0.058599:0.966558:0.074760:0.966558:0.074760:0.950778:0.058599:0.950778:0.000000:0.000000
M.5.3.21. Analizar las formas de las gráficas de distribuciones  normales en ejemplos de aplicación, con el apoyo de las TIC, y juzgar en contexto la validez y pertinencia de los :@0.148948:0.959747:0.894215:0.959747:0.894215:0.949705:0.148948:0.949705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resultados obtenidos.:@0.148948:0.968548:0.241469:0.968548:0.241469:0.958506:0.148948:0.958506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Distribución normal :@0.404235:0.118449:0.639539:0.118449:0.639539:0.073790:0.404235:0.073790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.636856:0.118449:0.652888:0.118449:0.661251:0.073790:0.645219:0.073790:0.000000
Definición:@0.404236:0.165018:0.484320:0.165018:0.484320:0.148072:0.404236:0.148072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.484322:0.164772:0.487674:0.164772:0.487674:0.148057:0.484322:0.148057:0.000000
 Una distribución de probabilidad sigue una distribución :@0.487674:0.164555:0.895961:0.164555:0.895961:0.148057:0.487674:0.148057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
normal de media   y desviación típica  , que se representa como :@0.404236:0.181906:0.895920:0.181906:0.895920:0.165408:0.404236:0.165408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
μ:@0.536319:0.182575:0.547416:0.182575:0.547416:0.166294:0.536319:0.166294:0.000000
μ:@0.674995:0.182575:0.686092:0.182575:0.686092:0.166294:0.674995:0.166294:0.000000
 :@0.891778:0.181906:0.895920:0.181906:0.895920:0.165408:0.891778:0.165408:0.000000
 :@0.891778:0.181906:0.895920:0.181906:0.895920:0.165408:0.891778:0.165408:0.000000
N:@0.404245:0.199372:0.416151:0.199372:0.416151:0.182903:0.404245:0.182903:0.000000
( ,  ) cuando la representación gráfica de su función de densidad :@0.416151:0.199256:0.895931:0.199256:0.895931:0.182759:0.416151:0.182759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
μμ:@0.423106:0.199925:0.436009:0.199925:0.436009:0.183645:0.423106:0.183645:0.000000:0.000000
es una curva positiva continua, simétrica a la media, de máximo en :@0.404245:0.216607:0.895890:0.216607:0.895890:0.200110:0.404245:0.200110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la media y que tiene dos puntos de inflexión, situados a ambos lados :@0.404245:0.233958:0.895886:0.233958:0.895886:0.217460:0.404245:0.217460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la media  (:@0.404245:0.251309:0.502877:0.251309:0.502877:0.234811:0.404245:0.234811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
μ:@0.502472:0.251945:0.513569:0.251945:0.513569:0.235664:0.502472:0.235664:0.000000
, μ+ ):@0.539224:0.251945:0.590242:0.251945:0.590242:0.235664:0.539224:0.235664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, respectivamente, y a distancia   de ella. :@0.593198:0.251309:0.895924:0.251309:0.895924:0.234811:0.593198:0.234811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
μ:@0.803855:0.251978:0.814951:0.251978:0.814951:0.235697:0.803855:0.235697:0.000000
 :@0.891764:0.251309:0.895906:0.251309:0.895906:0.234811:0.891764:0.234811:0.000000
Es decir, toma la forma de la Figura 3.12.:@0.404238:0.268659:0.685449:0.268659:0.685449:0.252162:0.404238:0.252162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199646:0.220284:0.363493:0.220284:0.363493:0.204811:0.199646:0.204811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuáles son algunos de :@0.199884:0.248911:0.352388:0.248911:0.352388:0.233848:0.199884:0.233848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los aspectos cotidianos que se :@0.153341:0.264753:0.352264:0.264753:0.352264:0.249690:0.153341:0.249690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pueden estudiar y que, al gra-:@0.153341:0.280595:0.344118:0.280595:0.344118:0.265532:0.153341:0.265532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ficarlos, se asemejan a la forma :@0.153341:0.296437:0.355059:0.296437:0.355059:0.281374:0.153341:0.281374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de una campana?:@0.153341:0.312279:0.266988:0.312279:0.266988:0.297216:0.153341:0.297216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.199646:0.115710:0.307805:0.115710:0.307805:0.100238:0.199646:0.100238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué es la campana de :@0.199884:0.144338:0.352794:0.144338:0.352794:0.129274:0.199884:0.129274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gauss?:@0.153341:0.160180:0.197368:0.160180:0.197368:0.145116:0.153341:0.145116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dependiendo de los valores que tomen   y  , la gráfica de esta fun-:@0.404236:0.433350:0.891773:0.433350:0.891773:0.416852:0.404236:0.416852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
μ:@0.692331:0.435740:0.704755:0.435740:0.704755:0.417511:0.692331:0.417511:0.000000
μ:@0.699753:0.434020:0.710850:0.434020:0.710850:0.417739:0.699753:0.417739:0.000000
ción puede ser más alargada o achatada, pero siempre toma la forma :@0.404229:0.450700:0.895990:0.450700:0.895990:0.434203:0.404229:0.434203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de una campana, conocida como la campana de Gauss.:@0.404229:0.468051:0.799623:0.468051:0.799623:0.451553:0.404229:0.451553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades:@0.404229:0.503215:0.499474:0.503215:0.499474:0.486269:0.404229:0.486269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i):@0.404229:0.520320:0.414767:0.520320:0.414767:0.503606:0.404229:0.503606:0.000000:0.000000
  El área encerrada bajo la curva normal  ( ,  ) siempre es 1 o el :@0.414767:0.520103:0.895912:0.520103:0.895912:0.503606:0.414767:0.503606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
N:@0.706423:0.520219:0.718329:0.520219:0.718329:0.503750:0.706423:0.503750:0.000000
μ:@0.725621:0.522494:0.738046:0.522494:0.738046:0.504265:0.725621:0.504265:0.000000
μ:@0.728643:0.520773:0.739740:0.520773:0.739740:0.504493:0.728643:0.504493:0.000000
100 % de los casos.:@0.427973:0.537454:0.561633:0.537454:0.561633:0.520956:0.427973:0.520956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ii):@0.404238:0.555022:0.419034:0.555022:0.419034:0.538307:0.404238:0.538307:0.000000:0.000000:0.000000
  Es una distribución simétrica.:@0.419034:0.554805:0.634571:0.554805:0.634571:0.538307:0.419034:0.538307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iii):@0.404238:0.572372:0.423291:0.572372:0.423291:0.555658:0.404238:0.555658:0.000000:0.000000:0.000000:0.000000
 Es asintótica; es decir, sus extremos nunca tocan el eje horizontal, :@0.423291:0.572156:0.895945:0.572156:0.895945:0.555658:0.423291:0.555658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuyos valores tienden al infinito.:@0.427973:0.589506:0.654607:0.589506:0.654607:0.573009:0.427973:0.573009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iv):@0.404238:0.607074:0.423041:0.607074:0.423041:0.590359:0.404238:0.590359:0.000000:0.000000:0.000000
 En el centro de la curva se encuentran la media, la mediana y la :@0.423041:0.606857:0.895943:0.606857:0.895943:0.590359:0.423041:0.590359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
moda.:@0.427973:0.624208:0.473496:0.624208:0.473496:0.607710:0.427973:0.607710:0.000000:0.000000:0.000000:0.000000:0.000000
v):@0.404238:0.641775:0.418860:0.641775:0.418860:0.625061:0.404238:0.625061:0.000000:0.000000
  Los elementos centrales del modelo son la media y la varianza.:@0.418860:0.641559:0.869546:0.641559:0.869546:0.625061:0.418860:0.625061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La más importante de todas las distribuciones normales es la que tie-:@0.404238:0.676260:0.891799:0.676260:0.891799:0.659762:0.404238:0.659762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ne por  media   = 0 y   = 1, y se denota como :@0.404238:0.693611:0.762303:0.693611:0.762303:0.677113:0.404238:0.677113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
μ:@0.514046:0.694744:0.526471:0.694744:0.526471:0.676515:0.514046:0.676515:0.000000
μ:@0.555427:0.694281:0.566523:0.694281:0.566523:0.678000:0.555427:0.678000:0.000000
Z N:@0.766725:0.693727:0.803917:0.693727:0.803917:0.677258:0.766725:0.677258:0.000000:0.000000:0.000000
(0,1) . Como :@0.804360:0.693611:0.895920:0.693611:0.895920:0.677113:0.804360:0.677113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el área bajo esta curva normal es 1, se define una probabilidad de la :@0.404232:0.710962:0.895816:0.710962:0.895816:0.694464:0.404232:0.694464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguiente manera: :@0.404232:0.728312:0.532269:0.728312:0.532269:0.711815:0.404232:0.711815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para un valor cualquiera  , definimos la probabilidad de que la distri-:@0.404232:0.745663:0.891853:0.745663:0.891853:0.729165:0.404232:0.729165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.580413:0.745779:0.588658:0.745779:0.588658:0.729310:0.580413:0.729310:0.000000
bución :@0.404232:0.763014:0.458406:0.763014:0.458406:0.746516:0.404232:0.746516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Z N:@0.459841:0.763130:0.497033:0.763130:0.497033:0.746661:0.459841:0.746661:0.000000:0.000000:0.000000
(0,1)  sea menor o igual que   como :@0.497476:0.763014:0.759067:0.763014:0.759067:0.746516:0.497476:0.746516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.700156:0.763130:0.708402:0.763130:0.708402:0.746661:0.700156:0.746661:0.000000
P(Z ≤ k):@0.759665:0.763130:0.816998:0.763130:0.816998:0.746661:0.759665:0.746661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es el “área :@0.816998:0.763014:0.895812:0.763014:0.895812:0.746516:0.816998:0.746516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
encerrada bajo la curva normal :@0.404244:0.780365:0.630262:0.780365:0.630262:0.763867:0.404244:0.763867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
N(0, 1):@0.630724:0.780480:0.677096:0.780480:0.677096:0.764012:0.630724:0.764012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 desde –∞ hasta k”, es decir, la :@0.677096:0.780365:0.895887:0.780365:0.895887:0.763867:0.677096:0.763867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
parte rayada de la Figura 3.13.:@0.404244:0.797715:0.612844:0.797715:0.612844:0.781218:0.404244:0.781218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
μ :@0.563788:0.367744:0.574997:0.367744:0.574997:0.356276:0.563788:0.356276:0.000000:0.000000
– :@0.574998:0.367245:0.583785:0.367245:0.583785:0.355003:0.574998:0.355003:0.000000:0.000000
σ:@0.583785:0.367744:0.591227:0.367744:0.591227:0.356276:0.583785:0.356276:0.000000
μ + σ:@0.703406:0.367744:0.733640:0.367744:0.733640:0.356276:0.703406:0.356276:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.822929:0.410242:0.834409:0.410242:0.834409:0.400218:0.822929:0.400218:0.000000
 :@0.834409:0.410950:0.837291:0.410950:0.837291:0.399473:0.834409:0.399473:0.000000
Figura 3.12.:@0.837291:0.410950:0.891769:0.410950:0.891769:0.399473:0.837291:0.399473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Distribución normal  N( ,  ). El máximo está en :@0.461365:0.385529:0.762554:0.385529:0.762554:0.371972:0.461365:0.371972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
μ μ:@0.607929:0.386624:0.617346:0.387881:0.617346:0.373298:0.607929:0.372040:0.000000:0.000000:0.000000
(:@0.763858:0.383971:0.768025:0.383971:0.768025:0.372422:0.763858:0.372422:0.000000
μ;:@0.767742:0.384416:0.779070:0.384416:0.779070:0.373019:0.767742:0.373019:0.000000:0.000000
1:@0.802400:0.377483:0.808347:0.377483:0.808347:0.365935:0.802400:0.365935:0.000000
2:@0.789804:0.393515:0.795751:0.393515:0.795751:0.381966:0.789804:0.381966:0.000000
2:@0.823555:0.387889:0.826998:0.387889:0.826998:0.381205:0.823555:0.381205:0.000000
):@0.830188:0.383971:0.834355:0.383971:0.834355:0.372422:0.830188:0.372422:0.000000
k:@0.715494:0.899519:0.721538:0.899519:0.721538:0.887658:0.715494:0.887658:0.000000
p:@0.822929:0.939986:0.834409:0.939986:0.834409:0.929961:0.822929:0.929961:0.000000
 :@0.834409:0.940693:0.837291:0.940693:0.837291:0.929217:0.834409:0.929217:0.000000
Figura 3.13.:@0.837291:0.940693:0.891769:0.940693:0.891769:0.929217:0.837291:0.929217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Área encerrada por la curva normal desde —∞  hasta k.:@0.461365:0.916144:0.802402:0.916144:0.802402:0.902587:0.461365:0.902587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interculturalidad:@0.199989:0.409511:0.320303:0.409511:0.320303:0.394039:0.199989:0.394039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La organización del :@0.193417:0.437442:0.321946:0.437442:0.321946:0.422379:0.193417:0.422379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calendario maya se centraba :@0.153681:0.453284:0.341101:0.453284:0.341101:0.438221:0.153681:0.438221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en las matemáticas. Su sistema :@0.153681:0.469126:0.354734:0.469126:0.354734:0.454063:0.153681:0.454063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de numeración vigesimal les :@0.153681:0.484968:0.339817:0.484968:0.339817:0.469905:0.153681:0.469905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
permitía diferenciar días, meses :@0.153681:0.500810:0.359165:0.500810:0.359165:0.485747:0.153681:0.485747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y años representados mediante :@0.153681:0.516652:0.359815:0.516652:0.359815:0.501589:0.153681:0.501589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diferentes símbolos que suma-:@0.153681:0.532494:0.351393:0.532494:0.351393:0.517431:0.153681:0.517431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos representaban un número.:@0.153681:0.548336:0.353099:0.548336:0.353099:0.533273:0.153681:0.533273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga:@0.153681:0.575188:0.199080:0.575188:0.199080:0.559927:0.153681:0.559927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 sobre la cultura maya y :@0.199081:0.574990:0.355754:0.574990:0.355754:0.559927:0.199081:0.559927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
confecciona:@0.153681:0.591030:0.235035:0.591030:0.235035:0.575769:0.153681:0.575769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 un resumen con :@0.235035:0.590832:0.348683:0.590832:0.348683:0.575769:0.235035:0.575769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los hallazgos.:@0.153681:0.606674:0.236810:0.606674:0.236810:0.591611:0.153681:0.591611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.199646:0.679988:0.297269:0.679988:0.297269:0.664516:0.199646:0.664516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
socioemocional:@0.199646:0.692556:0.310021:0.692556:0.310021:0.677084:0.199646:0.677084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Todos queremos vivir :@0.199884:0.717029:0.342731:0.717029:0.342731:0.701966:0.199884:0.701966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en un mundo limpio y fresco. :@0.153341:0.732871:0.348060:0.732871:0.348060:0.717808:0.153341:0.717808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo te sientes cuando ves :@0.153341:0.748713:0.344965:0.748713:0.344965:0.733650:0.153341:0.733650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
basura en las calles, falta de :@0.153341:0.764555:0.333160:0.764555:0.333160:0.749492:0.153341:0.749492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
limpieza, contaminación, entre :@0.153341:0.780397:0.356468:0.780397:0.356468:0.765334:0.153341:0.765334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
otros? Hay muchas formas en :@0.153341:0.796239:0.348148:0.796239:0.348148:0.781176:0.153341:0.781176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las que podemos ayudar a tener :@0.153341:0.812081:0.364663:0.812081:0.364663:0.797018:0.153341:0.797018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un mundo mejor, por ejemplo, :@0.153341:0.827923:0.356801:0.827923:0.356801:0.812860:0.153341:0.812860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se puede reciclar, rescatar ani-:@0.153341:0.843765:0.345983:0.843765:0.345983:0.828702:0.153341:0.828702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
malitos o plantar árboles. :@0.153341:0.859607:0.320163:0.859607:0.320163:0.844544:0.153341:0.844544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Responde:@0.153341:0.883951:0.220130:0.883951:0.220130:0.868690:0.153341:0.868690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: ¿qué más se te :@0.220130:0.883753:0.324103:0.883753:0.324103:0.868690:0.220130:0.868690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ocurre?:@0.153341:0.899595:0.200834:0.899595:0.200834:0.884532:0.153341:0.884532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000