﻿58:@0.058599:0.966558:0.074760:0.966558:0.074760:0.950778:0.058599:0.950778:0.000000:0.000000
Medidas de posición:@0.404235:0.126953:0.647982:0.126953:0.647982:0.082294:0.404235:0.082294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.3.5. Determinar los cuantiles (cuartiles, deciles y percentiles) para datos no agrupados y para datos agrupados. :@0.143847:0.947646:0.636253:0.947646:0.636253:0.937604:0.143847:0.937604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.3.6. Representar en diagramas de caja los cuartiles, mediana, valor máximo y valor mínimo de un conjunto de datos.:@0.143847:0.956447:0.661023:0.956447:0.661023:0.946405:0.143847:0.946405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Entre  las medidas  de  posición,  tenemos  los :@0.404236:0.171465:0.737725:0.171465:0.737725:0.154967:0.404236:0.154967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuartiles:@0.742022:0.171682:0.804516:0.171682:0.804516:0.154967:0.742022:0.154967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,  los  deciles :@0.804491:0.171465:0.895905:0.171465:0.895905:0.154967:0.804491:0.154967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.891763:0.171465:0.895905:0.171465:0.895905:0.154967:0.891763:0.154967:0.000000
y :@0.404236:0.188816:0.416200:0.188816:0.416200:0.172318:0.404236:0.172318:0.000000:0.000000
percentiles:@0.416200:0.189033:0.496495:0.189033:0.496495:0.172318:0.416200:0.172318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. :@0.496497:0.188816:0.503394:0.188816:0.503394:0.172318:0.496497:0.172318:0.000000:0.000000
Sea :@0.404236:0.213714:0.432498:0.213714:0.432498:0.197216:0.404236:0.197216:0.000000:0.000000:0.000000:0.000000
A = x . . . x:@0.433115:0.213830:0.530706:0.213826:0.530706:0.197357:0.433115:0.197361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 { ,    ,  } un conjunto de n datos reales de una población :@0.460028:0.213714:0.895914:0.213710:0.895914:0.197213:0.460028:0.197216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.478116:0.216382:0.482638:0.216382:0.482638:0.207600:0.478116:0.207600:0.000000
n:@0.530703:0.216382:0.535831:0.216382:0.535831:0.207600:0.530703:0.207600:0.000000
o de una muestra, de los que suponemos que están ordenados en :@0.404230:0.231061:0.895874:0.231061:0.895874:0.214563:0.404230:0.214563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
forma ascendente, esto es,  < :@0.404230:0.248412:0.627733:0.248412:0.627733:0.231914:0.404230:0.231914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.600270:0.248528:0.607745:0.248528:0.607745:0.232059:0.600270:0.232059:0.000000
i :@0.607768:0.251145:0.611993:0.251145:0.611993:0.242378:0.607768:0.242378:0.000000:0.000000
x:@0.629217:0.248528:0.636692:0.248528:0.636692:0.232059:0.629217:0.232059:0.000000
i+1 :@0.636696:0.251145:0.651012:0.251145:0.651012:0.242378:0.636696:0.242378:0.000000:0.000000:0.000000:0.000000
,     = 1, :@0.651803:0.248412:0.726417:0.248412:0.726417:0.231914:0.651803:0.231914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.671434:0.247906:0.685171:0.247906:0.685171:0.230194:0.671434:0.230194:0.000000
i:@0.685171:0.248528:0.688966:0.248528:0.688966:0.232059:0.685171:0.232059:0.000000
. . . n:@0.727901:0.248528:0.769051:0.248528:0.769051:0.232059:0.727901:0.232059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ,   – 1; y que están :@0.745683:0.248412:0.895853:0.248412:0.895853:0.231914:0.745683:0.231914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
agrupados así::@0.404245:0.265763:0.503690:0.265763:0.503690:0.249265:0.404245:0.249265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.575913:0.290388:0.582738:0.290388:0.582738:0.275351:0.575913:0.275351:0.000000
1:@0.582738:0.293276:0.587260:0.293276:0.587260:0.284494:0.582738:0.284494:0.000000
                 ...       :@0.587261:0.290283:0.693136:0.290283:0.693136:0.275219:0.587261:0.275219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.617516:0.290388:0.624341:0.290388:0.624341:0.275351:0.617516:0.275351:0.000000
2:@0.624339:0.293276:0.628862:0.293276:0.628862:0.284494:0.624339:0.284494:0.000000
x:@0.693136:0.290388:0.699961:0.290388:0.699961:0.275351:0.693136:0.275351:0.000000
m:@0.699854:0.293337:0.707730:0.293337:0.707730:0.284571:0.699854:0.284571:0.000000
ƒ:@0.575913:0.309227:0.584708:0.309227:0.584708:0.293055:0.575913:0.293055:0.000000
1:@0.584708:0.312681:0.589231:0.312681:0.589231:0.303899:0.584708:0.303899:0.000000
                ...       :@0.589231:0.309689:0.693295:0.309689:0.693295:0.294626:0.589231:0.294626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ƒ:@0.615704:0.309227:0.624499:0.309227:0.624499:0.293055:0.615704:0.293055:0.000000
2:@0.624498:0.312681:0.629021:0.312681:0.629021:0.303899:0.624498:0.303899:0.000000
ƒ:@0.693295:0.309227:0.702090:0.309227:0.702090:0.293055:0.693295:0.293055:0.000000
m:@0.702089:0.312742:0.709965:0.312742:0.709965:0.303976:0.702089:0.303976:0.000000
 :@0.726618:0.335079:0.730760:0.335079:0.730760:0.318581:0.726618:0.318581:0.000000
A la frecuencia acumulada de cualquier medida o clase la denotamos :@0.404233:0.352430:0.895874:0.352430:0.895874:0.335932:0.404233:0.335932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con  y la definimos como  =   + :@0.404233:0.369780:0.660793:0.369780:0.660793:0.353283:0.404233:0.353283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 F:@0.431185:0.369896:0.442879:0.369896:0.442879:0.353427:0.431185:0.353427:0.000000:0.000000
j:@0.442882:0.373126:0.445129:0.373126:0.445129:0.363525:0.442882:0.363525:0.000000
F :@0.598228:0.369896:0.612166:0.369896:0.612166:0.353427:0.598228:0.353427:0.000000:0.000000
j:@0.605779:0.373126:0.608026:0.373126:0.608026:0.363525:0.605779:0.363525:0.000000
ƒ:@0.627116:0.369274:0.636749:0.369274:0.636749:0.351562:0.627116:0.351562:0.000000
1:@0.636749:0.373058:0.641703:0.373058:0.641703:0.363440:0.636749:0.363440:0.000000
. . . +   :@0.660793:0.369896:0.713552:0.369896:0.713552:0.353427:0.660793:0.353427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ƒ:@0.694777:0.369274:0.704410:0.369274:0.704410:0.351562:0.694777:0.351562:0.000000
j:@0.704409:0.373126:0.706655:0.373126:0.706655:0.363525:0.704409:0.363525:0.000000
, para   = 1,  , :@0.706655:0.369780:0.808973:0.369780:0.808973:0.353283:0.706655:0.353283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.748923:0.369896:0.752777:0.369896:0.752777:0.353427:0.748923:0.353427:0.000000
. . . m.:@0.787261:0.369896:0.826312:0.369896:0.826312:0.353427:0.787261:0.353427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuartiles:@0.404236:0.405879:0.476403:0.405879:0.476403:0.388197:0.404236:0.388197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición. :@0.404236:0.423050:0.492450:0.423050:0.492450:0.406104:0.404236:0.406104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los cuartiles son números que dividen al conjunto   en:@0.492450:0.422587:0.886883:0.422587:0.886883:0.406089:0.492450:0.406089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.853920:0.422703:0.865190:0.422703:0.865190:0.406234:0.853920:0.406234:0.000000
cuatro partes porcentualmente iguales.:@0.404236:0.439938:0.680246:0.439938:0.680246:0.423440:0.404236:0.423440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para obtener los cuartiles, se calculan los números reales 0,25 ,:@0.404236:0.469868:0.845615:0.469868:0.845615:0.453370:0.404236:0.453370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.833497:0.469984:0.842860:0.469984:0.842860:0.453515:0.833497:0.453515:0.000000
0,5 , 0,75 .  Se tienen tres cuartiles denotados  ,  ,  , que guardan :@0.404236:0.487219:0.895913:0.487212:0.895913:0.470715:0.404236:0.470721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.423983:0.487334:0.433346:0.487334:0.433346:0.470866:0.423983:0.470866:0.000000
n:@0.468495:0.487334:0.477858:0.487334:0.477858:0.470866:0.468495:0.470866:0.000000
Q Q Q:@0.732593:0.487334:0.791103:0.487328:0.791103:0.470859:0.732593:0.470866:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.744481:0.489885:0.749003:0.489885:0.749003:0.481103:0.744481:0.481103:0.000000
2:@0.767797:0.489885:0.772319:0.489885:0.772319:0.481103:0.767797:0.481103:0.000000
3:@0.791113:0.489885:0.795635:0.489885:0.795635:0.481103:0.791113:0.481103:0.000000
la relación :@0.404243:0.504563:0.479358:0.504563:0.479358:0.488065:0.404243:0.488065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.478645:0.504679:0.490532:0.504679:0.490532:0.488210:0.478645:0.488210:0.000000
1  :@0.490514:0.507235:0.499067:0.507235:0.499067:0.498454:0.490514:0.498454:0.000000:0.000000:0.000000
<  <  . Estos cuartiles dividen al conjunto   en cuatro :@0.498681:0.504563:0.895955:0.504563:0.895955:0.488065:0.498681:0.488065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.512918:0.504679:0.524805:0.504679:0.524805:0.488210:0.512918:0.488210:0.000000
2 :@0.524798:0.507235:0.531525:0.507235:0.531525:0.498454:0.524798:0.498454:0.000000:0.000000
Q:@0.545381:0.504679:0.557268:0.504679:0.557268:0.488210:0.545381:0.488210:0.000000
3:@0.557261:0.507235:0.561783:0.507235:0.561783:0.498454:0.557261:0.498454:0.000000
A:@0.810283:0.504679:0.821553:0.504679:0.821553:0.488210:0.810283:0.488210:0.000000
 :@0.891779:0.504563:0.895921:0.504563:0.895921:0.488065:0.891779:0.488065:0.000000
subconjuntos designados :@0.404252:0.521914:0.588752:0.521914:0.588752:0.505416:0.404252:0.505416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A , A , A , A , :@0.588752:0.522029:0.679879:0.522029:0.679879:0.505561:0.588752:0.505561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.600006:0.524586:0.604529:0.524586:0.604529:0.515804:0.600006:0.515804:0.000000
2:@0.622791:0.524586:0.627314:0.524586:0.627314:0.515804:0.622791:0.515804:0.000000
3:@0.645578:0.524586:0.650100:0.524586:0.650100:0.515804:0.645578:0.515804:0.000000
4:@0.668363:0.524586:0.672885:0.524586:0.672885:0.515804:0.668363:0.515804:0.000000
de modo que:@0.679879:0.521914:0.777090:0.521914:0.777090:0.505416:0.679879:0.505416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∪:@0.515754:0.527230:0.537947:0.527230:0.537947:0.502809:0.515754:0.502809:0.000000
{:@0.522193:0.587840:0.531440:0.587840:0.531440:0.560814:0.522193:0.560814:0.000000
}:@0.628672:0.587840:0.637920:0.587840:0.637920:0.560814:0.628672:0.560814:0.000000
{:@0.689141:0.587840:0.698388:0.587840:0.698388:0.560814:0.689141:0.560814:0.000000
}:@0.795620:0.587840:0.804867:0.587840:0.804867:0.560814:0.795620:0.560814:0.000000
{:@0.520779:0.559971:0.530027:0.559971:0.530027:0.533434:0.520779:0.533434:0.000000
}:@0.625852:0.559971:0.635099:0.559971:0.635099:0.533434:0.625852:0.533434:0.000000
{:@0.688984:0.559971:0.698232:0.559971:0.698232:0.533434:0.688984:0.533434:0.000000
}:@0.795675:0.559971:0.804923:0.559971:0.804923:0.533434:0.795675:0.533434:0.000000
=:@0.501933:0.520825:0.512509:0.520825:0.512509:0.504544:0.501933:0.504544:0.000000
=:@0.506959:0.555440:0.517535:0.555440:0.517535:0.539159:0.506959:0.539159:0.000000
∈:@0.546799:0.555440:0.560535:0.555440:0.560535:0.539159:0.546799:0.539159:0.000000
≤:@0.594288:0.555440:0.604865:0.555440:0.604865:0.539159:0.594288:0.539159:0.000000
=:@0.675163:0.555440:0.685740:0.555440:0.685740:0.539159:0.675163:0.539159:0.000000
∈:@0.715004:0.555440:0.728740:0.555440:0.728740:0.539159:0.715004:0.539159:0.000000
≤:@0.762493:0.555440:0.773070:0.555440:0.773070:0.539159:0.762493:0.539159:0.000000
=:@0.508365:0.583172:0.518942:0.583172:0.518942:0.566891:0.508365:0.566891:0.000000
∈:@0.548205:0.583172:0.561942:0.583172:0.561942:0.566891:0.548205:0.566891:0.000000
≤:@0.595694:0.583172:0.606271:0.583172:0.606271:0.566891:0.595694:0.566891:0.000000
=:@0.675318:0.583172:0.685894:0.583172:0.685894:0.566891:0.675318:0.566891:0.000000
∈:@0.715159:0.583180:0.728895:0.583180:0.728895:0.566899:0.715159:0.566899:0.000000
≤:@0.768042:0.583180:0.778619:0.583180:0.778619:0.566899:0.768042:0.566899:0.000000
=:@0.523292:0.532049:0.529414:0.532049:0.529414:0.522625:0.523292:0.522625:0.000000
A:@0.487274:0.520304:0.498545:0.520304:0.498545:0.503836:0.487274:0.503836:0.000000
A:@0.542932:0.520304:0.554202:0.520304:0.554202:0.503836:0.542932:0.503836:0.000000
A:@0.487274:0.554919:0.498545:0.554919:0.498545:0.538450:0.487274:0.538450:0.000000
x:@0.531045:0.554919:0.538520:0.554919:0.538520:0.538450:0.531045:0.538450:0.000000
Ax:@0.561407:0.554919:0.585585:0.554919:0.585585:0.538450:0.561407:0.538450:0.000000:0.000000
Q:@0.608106:0.554919:0.619993:0.554919:0.619993:0.538450:0.608106:0.538450:0.000000
A:@0.653861:0.554919:0.665131:0.554919:0.665131:0.538450:0.653861:0.538450:0.000000
x:@0.699250:0.554919:0.706725:0.554919:0.706725:0.538450:0.699250:0.538450:0.000000
A x:@0.729612:0.554919:0.753790:0.554919:0.753790:0.538450:0.729612:0.538450:0.000000:0.000000:0.000000
Q:@0.776311:0.554919:0.788198:0.554919:0.788198:0.538450:0.776311:0.538450:0.000000
A:@0.487274:0.582652:0.498545:0.582652:0.498545:0.566183:0.487274:0.566183:0.000000
x:@0.532451:0.582652:0.539926:0.582652:0.539926:0.566183:0.532451:0.566183:0.000000
Ax:@0.562814:0.582652:0.586991:0.582652:0.586991:0.566183:0.562814:0.566183:0.000000:0.000000
Q:@0.609513:0.582652:0.621399:0.582652:0.621399:0.566183:0.609513:0.566183:0.000000
A:@0.653803:0.582652:0.665074:0.582652:0.665074:0.566183:0.653803:0.566183:0.000000
x:@0.699404:0.582652:0.706879:0.582652:0.706879:0.566183:0.699404:0.566183:0.000000
A Q:@0.729766:0.582652:0.757200:0.582659:0.757200:0.566190:0.729766:0.566183:0.000000:0.000000:0.000000
x:@0.783015:0.582659:0.790490:0.582659:0.790490:0.566190:0.783015:0.566190:0.000000
i:@0.520518:0.531747:0.522715:0.531747:0.522715:0.522215:0.520518:0.522215:0.000000
i:@0.553870:0.522475:0.556067:0.522475:0.556067:0.512942:0.553870:0.512942:0.000000
i:@0.539416:0.557089:0.541613:0.557089:0.541613:0.547557:0.539416:0.547557:0.000000
i:@0.586483:0.557089:0.588680:0.557089:0.588680:0.547557:0.586483:0.547557:0.000000
i:@0.707625:0.557089:0.709822:0.557089:0.709822:0.547557:0.707625:0.547557:0.000000
i:@0.754692:0.557089:0.756889:0.557089:0.756889:0.547557:0.754692:0.547557:0.000000
i:@0.540832:0.584832:0.543029:0.584832:0.543029:0.575300:0.540832:0.575300:0.000000
i:@0.587900:0.584832:0.590096:0.584832:0.590096:0.575300:0.587900:0.575300:0.000000
i:@0.707778:0.584829:0.709975:0.584829:0.709975:0.575297:0.707778:0.575297:0.000000
i:@0.791386:0.584829:0.793583:0.584829:0.793583:0.575297:0.791386:0.575297:0.000000
,:@0.559310:0.520189:0.562065:0.520189:0.562065:0.503691:0.559310:0.503691:0.000000
,:@0.637103:0.554804:0.639858:0.554804:0.639858:0.538306:0.637103:0.538306:0.000000
,:@0.806926:0.554804:0.809681:0.554804:0.809681:0.538306:0.806926:0.538306:0.000000
,:@0.639935:0.582536:0.642690:0.582536:0.642690:0.566038:0.639935:0.566038:0.000000
.:@0.806156:0.582536:0.808910:0.582536:0.808910:0.566038:0.806156:0.566038:0.000000
1:@0.529574:0.531680:0.534492:0.531680:0.534492:0.522131:0.529574:0.522131:0.000000
4:@0.524445:0.504138:0.529362:0.504138:0.529362:0.494590:0.524445:0.494590:0.000000
1:@0.497535:0.557022:0.502453:0.557022:0.502453:0.547474:0.497535:0.547474:0.000000
1:@0.619981:0.557022:0.624899:0.557022:0.624899:0.547474:0.619981:0.547474:0.000000
2:@0.664589:0.557022:0.669506:0.557022:0.669506:0.547474:0.664589:0.547474:0.000000
2:@0.788663:0.557022:0.793580:0.557022:0.793580:0.547474:0.788663:0.547474:0.000000
3:@0.498006:0.584762:0.502924:0.584762:0.502924:0.575213:0.498006:0.575213:0.000000
3:@0.621868:0.584762:0.626786:0.584762:0.626786:0.575213:0.621868:0.575213:0.000000
4:@0.664746:0.584762:0.669664:0.584762:0.669664:0.575213:0.664746:0.575213:0.000000
3:@0.757665:0.584762:0.762583:0.584762:0.762583:0.575213:0.757665:0.575213:0.000000
El número de elementos de cada uno de estos conjuntos se denota :@0.404236:0.614788:0.895914:0.614788:0.895914:0.598290:0.404236:0.598290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con  ( ),  ( ),  ( ),  ( ).:@0.404236:0.632139:0.618913:0.632139:0.618913:0.615641:0.404236:0.615641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
N A N A N A N A:@0.435330:0.632255:0.605252:0.632255:0.605252:0.615786:0.435330:0.615786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.464459:0.635416:0.469413:0.635416:0.469413:0.625797:0.464459:0.625797:0.000000
2:@0.511390:0.635416:0.516343:0.635416:0.516343:0.625797:0.511390:0.625797:0.000000
3:@0.558321:0.635416:0.563275:0.635416:0.563275:0.625797:0.558321:0.625797:0.000000
4:@0.605252:0.635416:0.610205:0.635416:0.610205:0.625797:0.605252:0.625797:0.000000
Se tiene:  ( ) ≤ 0,25 ;  ( ) ≤ 0,5 ,  ( 3) ≤ 0,75 ,  ( 4) ≥ 0,25 .:@0.404240:0.649490:0.876139:0.649490:0.876139:0.632992:0.404240:0.632992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
N A:@0.467180:0.649605:0.496309:0.649605:0.496309:0.633137:0.467180:0.633137:0.000000:0.000000:0.000000
1:@0.496302:0.652766:0.501256:0.652766:0.501256:0.643148:0.496302:0.643148:0.000000
n N A:@0.554544:0.649605:0.599933:0.649605:0.599933:0.633137:0.554544:0.633137:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.599931:0.652766:0.604884:0.652766:0.604884:0.643148:0.599931:0.643148:0.000000
n N A:@0.649676:0.649605:0.695065:0.649605:0.695065:0.633137:0.649676:0.633137:0.000000:0.000000:0.000000:0.000000:0.000000
n N A:@0.756849:0.649605:0.802238:0.649605:0.802238:0.633137:0.756849:0.633137:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.864022:0.649605:0.873385:0.649605:0.873385:0.633137:0.864022:0.633137:0.000000
Ejercicio resuelto:@0.404237:0.676022:0.522216:0.676022:0.522216:0.659235:0.404237:0.659235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Considera el conjunto de 10 datos dados en el conjunto::@0.404237:0.692997:0.804563:0.692997:0.804563:0.676499:0.404237:0.676499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.495824:0.710463:0.507094:0.710463:0.507094:0.693994:0.495824:0.693994:0.000000
 = {7,5; 7,9; 7,5; 8,2; 8,1; 8,2; 8,3; 7,5; 8,0; 8,0}.:@0.507094:0.710347:0.800196:0.710347:0.800196:0.693850:0.507094:0.693850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ordenamos este conjunto en forma ascendente: se tiene::@0.404237:0.745049:0.808476:0.745049:0.808476:0.728551:0.404237:0.728551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.555462:0.743110:0.563958:0.743110:0.563958:0.726612:0.555462:0.726612:0.000000
8,08,0:@0.604627:0.722751:0.666102:0.722751:0.666102:0.706254:0.604627:0.706254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.631116:0.743110:0.639612:0.743110:0.639612:0.726612:0.631116:0.726612:0.000000
8,0:@0.685618:0.732106:0.708505:0.732106:0.708505:0.715609:0.685618:0.715609:0.000000:0.000000:0.000000
5:@0.544938:0.724622:0.549855:0.724622:0.549855:0.715073:0.544938:0.715073:0.000000
6:@0.576773:0.724622:0.581691:0.724622:0.581691:0.715073:0.576773:0.715073:0.000000
x:@0.497927:0.732224:0.505402:0.732224:0.505402:0.715755:0.497927:0.715755:0.000000
x:@0.537036:0.722522:0.544511:0.722522:0.544511:0.706053:0.537036:0.706053:0.000000
x:@0.568400:0.722522:0.575875:0.722522:0.575875:0.706053:0.568400:0.706053:0.000000
A:@0.497927:0.763744:0.509197:0.763744:0.509197:0.747276:0.497927:0.747276:0.000000
m:@0.506304:0.734394:0.514867:0.734394:0.514867:0.724862:0.506304:0.724862:0.000000
%:@0.500544:0.759932:0.515802:0.759932:0.515802:0.743578:0.500544:0.743578:0.000000
=:@0.520118:0.732749:0.530694:0.732749:0.530694:0.716468:0.520118:0.716468:0.000000
+:@0.554140:0.723047:0.564717:0.723047:0.564717:0.706766:0.554140:0.706766:0.000000
=:@0.588856:0.732749:0.599433:0.732749:0.599433:0.716468:0.588856:0.716468:0.000000
+:@0.630103:0.723394:0.640680:0.723394:0.640680:0.707113:0.630103:0.707113:0.000000
=:@0.671350:0.732749:0.681926:0.732749:0.681926:0.716468:0.671350:0.716468:0.000000
=:@0.512566:0.764255:0.523142:0.764255:0.523142:0.747974:0.512566:0.747974:0.000000
 {7,5; 7,5; 7,5; 7,9; 8,0; 8,0; 8,1; 8,2; 8,2; 8,3}.:@0.523652:0.762715:0.801804:0.762715:0.801804:0.746217:0.523652:0.746217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como el número de elementos   del conjunto   es par,   =10, la :@0.404227:0.788871:0.896005:0.788871:0.896005:0.772373:0.404227:0.772373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.641843:0.788987:0.651206:0.788987:0.651206:0.772518:0.641843:0.772518:0.000000
A:@0.757413:0.788987:0.768683:0.788987:0.768683:0.772518:0.757413:0.772518:0.000000
n:@0.827382:0.788987:0.836746:0.788987:0.836746:0.772518:0.827382:0.772518:0.000000
mediana :@0.404227:0.815504:0.470095:0.815504:0.470095:0.799007:0.404227:0.799007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.532678:0.826217:0.541174:0.826217:0.541174:0.809719:0.532678:0.809719:0.000000
8,08,0:@0.581837:0.805864:0.643312:0.805864:0.643312:0.789366:0.581837:0.789366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.608326:0.826217:0.616822:0.826217:0.616822:0.809719:0.608326:0.809719:0.000000
8,0 . Este coincide con el cuartil :@0.662823:0.815216:0.895941:0.815506:0.895941:0.799008:0.662823:0.798718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.522156:0.807730:0.527074:0.807730:0.527074:0.798181:0.522156:0.798181:0.000000
6:@0.553992:0.807730:0.558909:0.807730:0.558909:0.798181:0.553992:0.798181:0.000000
x:@0.475144:0.815331:0.482619:0.815331:0.482619:0.798863:0.475144:0.798863:0.000000
x:@0.514251:0.805626:0.521726:0.805626:0.521726:0.789158:0.514251:0.789158:0.000000
x:@0.545615:0.805626:0.553090:0.805626:0.553090:0.789158:0.545615:0.789158:0.000000
A:@0.475142:0.846849:0.486413:0.846849:0.486413:0.830380:0.475142:0.830380:0.000000
m:@0.483520:0.817502:0.492084:0.817502:0.492084:0.807970:0.483520:0.807970:0.000000
%:@0.477762:0.843039:0.493021:0.843039:0.493021:0.826686:0.477762:0.826686:0.000000
=:@0.497341:0.815852:0.507918:0.815852:0.507918:0.799571:0.497341:0.799571:0.000000
+:@0.531363:0.806150:0.541940:0.806150:0.541940:0.789869:0.531363:0.789869:0.000000
=:@0.566079:0.815852:0.576656:0.815852:0.576656:0.799571:0.566079:0.799571:0.000000
+:@0.607326:0.806497:0.617903:0.806497:0.617903:0.790216:0.607326:0.790216:0.000000
=:@0.648573:0.815852:0.659150:0.815852:0.659150:0.799571:0.648573:0.799571:0.000000
=:@0.489802:0.847362:0.500379:0.847362:0.500379:0.831082:0.489802:0.831082:0.000000
Q:@0.404236:0.839508:0.416123:0.839508:0.416123:0.823039:0.404236:0.823039:0.000000
2   :@0.416122:0.842066:0.434691:0.842066:0.434691:0.833284:0.416122:0.833284:0.000000:0.000000:0.000000:0.000000
,  luego   = 8,0. El 50 % de los datos se ubica bajo el cuartil  , :@0.423801:0.839395:0.895912:0.839395:0.895912:0.822897:0.423801:0.822897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.480915:0.839511:0.492802:0.839511:0.492802:0.823042:0.480915:0.823042:0.000000
2:@0.492798:0.842066:0.497320:0.842066:0.497320:0.833284:0.492798:0.833284:0.000000
Q:@0.872608:0.839511:0.884495:0.839511:0.884495:0.823042:0.872608:0.823042:0.000000
2:@0.884494:0.842066:0.889016:0.842066:0.889016:0.833284:0.884494:0.833284:0.000000
esto es, {7,5; 7,5; 7,5; 7,9; 8,0}. La mediana de este conjunto es   = 7,5. :@0.404244:0.863281:0.895911:0.863284:0.895911:0.846786:0.404244:0.846783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.833682:0.863397:0.845568:0.863397:0.845568:0.846928:0.833682:0.846928:0.000000
1:@0.845575:0.865955:0.850097:0.865955:0.850097:0.857173:0.845575:0.857173:0.000000
 :@0.891769:0.863284:0.895911:0.863284:0.895911:0.846786:0.891769:0.846786:0.000000
El 25 % de los datos está ubicado bajo o coincidente con el cuartil  . :@0.404242:0.887170:0.895912:0.887172:0.895912:0.870675:0.404242:0.870672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.872500:0.887285:0.884386:0.887285:0.884386:0.870817:0.872500:0.870817:0.000000
1:@0.884494:0.889843:0.889016:0.889843:0.889016:0.881062:0.884494:0.881062:0.000000
En consecuencia, A  = {7,5; 7,5},  ( ) = 2:@0.404244:0.911059:0.697092:0.911061:0.697092:0.894563:0.404244:0.894561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.541288:0.913733:0.545810:0.913733:0.545810:0.904951:0.541288:0.904951:0.000000
N A:@0.629902:0.911177:0.659031:0.911177:0.659031:0.894708:0.629902:0.894708:0.000000:0.000000:0.000000
1:@0.659028:0.913733:0.663551:0.913733:0.663551:0.904951:0.659028:0.904951:0.000000
.:@0.697092:0.911177:0.699944:0.911177:0.699944:0.894708:0.697092:0.894708:0.000000
Saberes previos:@0.199646:0.112146:0.307805:0.112146:0.307805:0.096673:0.199646:0.096673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué son y para qué :@0.199884:0.140773:0.336539:0.140773:0.336539:0.125710:0.199884:0.125710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sirven las medidas de posición?:@0.153341:0.156615:0.355395:0.156615:0.355395:0.141552:0.153341:0.141552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199646:0.198065:0.363493:0.198065:0.363493:0.182592:0.199646:0.182592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Con qué cuartil, decil :@0.199884:0.226692:0.346266:0.226692:0.346266:0.211629:0.199884:0.211629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y percentil está relacionada la :@0.153341:0.242534:0.346847:0.242534:0.346847:0.227471:0.153341:0.227471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mediana?:@0.153341:0.258376:0.214906:0.258376:0.214906:0.243313:0.153341:0.243313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Glosario:@0.199644:0.363122:0.267109:0.363122:0.267109:0.345440:0.199644:0.345440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuartil.:@0.199880:0.389936:0.245067:0.389936:0.245067:0.374674:0.199880:0.374674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Cualquiera de los :@0.245069:0.389738:0.361179:0.389738:0.361179:0.374674:0.245069:0.374674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
percentiles 25, 50 o 75.:@0.153337:0.405580:0.294583:0.405580:0.294583:0.390516:0.153337:0.390516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
percentil. :@0.153337:0.428748:0.218156:0.428748:0.218156:0.413487:0.153337:0.413487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Valor que divide un :@0.217981:0.428550:0.345878:0.428550:0.345878:0.413487:0.217981:0.413487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto ordenado de datos :@0.153337:0.444392:0.339172:0.444392:0.339172:0.429329:0.153337:0.429329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estadísticos de forma que un :@0.153337:0.460234:0.339017:0.460234:0.339017:0.445171:0.153337:0.445171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
porcentaje de tales datos sea :@0.153337:0.476076:0.338889:0.476076:0.338889:0.461013:0.153337:0.461013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inferior a dicho valor.:@0.153337:0.491918:0.284891:0.491918:0.284891:0.476855:0.153337:0.476855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.146908:0.366855:0.158313:0.365346:0.153110:0.343201:0.141706:0.344710:0.000000
c:@0.150290:0.377825:0.160889:0.376422:0.155807:0.354787:0.145207:0.356190:0.000000
b:@0.160665:0.370607:0.173379:0.368924:0.168247:0.347082:0.155534:0.348764:0.000000
Competencia :@0.199644:0.566632:0.297267:0.566632:0.297267:0.551160:0.199644:0.551160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.199644:0.579200:0.283707:0.579200:0.283707:0.563728:0.199644:0.563728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El cuartil  , es un valor :@0.199880:0.603675:0.354956:0.603675:0.354956:0.588612:0.199880:0.588612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.259192:0.603780:0.270045:0.603780:0.270045:0.588744:0.259192:0.588744:0.000000
1:@0.270046:0.606667:0.274569:0.606667:0.274569:0.597885:0.270046:0.597885:0.000000
numérico tal que, bajo este o :@0.153339:0.619517:0.345209:0.619517:0.345209:0.604454:0.153339:0.604454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
coincidente está ubicado el 25 :@0.153339:0.635359:0.354090:0.635359:0.354090:0.620296:0.153339:0.620296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
% de todos los valores del con-:@0.153339:0.651201:0.353844:0.651201:0.353844:0.636138:0.153339:0.636138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
junto  , los cuales se recogen :@0.153339:0.667043:0.346687:0.667043:0.346687:0.651980:0.153339:0.651980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.192142:0.667148:0.202433:0.667148:0.202433:0.652112:0.192142:0.652112:0.000000
en el conjunto A . El cuartil   :@0.153339:0.682885:0.351197:0.682885:0.351197:0.667822:0.153339:0.667822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.261908:0.685877:0.266430:0.685877:0.266430:0.677095:0.261908:0.677095:0.000000
Q:@0.332042:0.682990:0.342895:0.682990:0.342895:0.667954:0.332042:0.667954:0.000000
2:@0.342894:0.685877:0.347416:0.685877:0.347416:0.677095:0.342894:0.677095:0.000000
coincide con la mediana. Deba-:@0.153345:0.698727:0.357757:0.698727:0.357757:0.683664:0.153345:0.683664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
jo del cuartil  , o coincidente :@0.153345:0.714569:0.351670:0.714569:0.351670:0.699506:0.153345:0.699506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.237247:0.714674:0.248100:0.714674:0.248100:0.699638:0.237247:0.699638:0.000000
3:@0.248099:0.717561:0.252621:0.717561:0.252621:0.708779:0.248099:0.708779:0.000000
con  , está el 75 % de los :@0.153344:0.730411:0.324092:0.730411:0.324092:0.715348:0.153344:0.715348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.181734:0.730516:0.192587:0.730516:0.192587:0.715480:0.181734:0.715480:0.000000
3:@0.192586:0.733403:0.197109:0.733403:0.197109:0.724621:0.192586:0.724621:0.000000
datos de A. A este conjunto lo :@0.153346:0.746253:0.354310:0.746253:0.354310:0.731190:0.153346:0.731190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
notamos:@0.153346:0.762095:0.211780:0.762095:0.211780:0.747032:0.153346:0.747032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.214594:0.767357:0.223090:0.767357:0.223090:0.750859:0.214594:0.750859:0.000000
8,08,0:@0.263759:0.746998:0.325234:0.746998:0.325234:0.730501:0.263759:0.730501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.290249:0.767357:0.298745:0.767357:0.298745:0.750859:0.290249:0.750859:0.000000
8,0:@0.344750:0.756353:0.367637:0.756353:0.367637:0.739856:0.344750:0.739856:0.000000:0.000000:0.000000
5:@0.204072:0.748869:0.208989:0.748869:0.208989:0.739320:0.204072:0.739320:0.000000
6:@0.235907:0.748869:0.240825:0.748869:0.240825:0.739320:0.235907:0.739320:0.000000
x:@0.157061:0.756471:0.164536:0.756471:0.164536:0.740002:0.157061:0.740002:0.000000
x:@0.196170:0.746769:0.203645:0.746769:0.203645:0.730300:0.196170:0.730300:0.000000
x:@0.227534:0.746769:0.235008:0.746769:0.235008:0.730300:0.227534:0.730300:0.000000
A:@0.157061:0.787991:0.168331:0.787991:0.168331:0.771523:0.157061:0.771523:0.000000
m:@0.165437:0.758641:0.174001:0.758641:0.174001:0.749109:0.165437:0.749109:0.000000
%:@0.159678:0.784180:0.174936:0.784180:0.174936:0.767827:0.159678:0.767827:0.000000
=:@0.179251:0.756997:0.189828:0.756997:0.189828:0.740716:0.179251:0.740716:0.000000
+:@0.213274:0.747295:0.223851:0.747295:0.223851:0.731014:0.213274:0.731014:0.000000
=:@0.247990:0.756997:0.258567:0.756997:0.258567:0.740716:0.247990:0.740716:0.000000
+:@0.289237:0.747642:0.299813:0.747642:0.299813:0.731361:0.289237:0.731361:0.000000
=:@0.330484:0.756997:0.341060:0.756997:0.341060:0.740716:0.330484:0.740716:0.000000
=:@0.171700:0.788503:0.182276:0.788503:0.182276:0.772222:0.171700:0.772222:0.000000
3:@0.169165:0.790891:0.173687:0.790891:0.173687:0.782110:0.169165:0.782110:0.000000
 = {     |  ≤  }.:@0.173688:0.787900:0.291924:0.787900:0.291924:0.772837:0.173688:0.772837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.196467:0.788005:0.203292:0.788005:0.203292:0.772969:0.196467:0.772969:0.000000
i:@0.203291:0.790891:0.205322:0.790891:0.205322:0.782110:0.203291:0.782110:0.000000
:@0.209103:0.787702:0.223756:0.787702:0.223756:0.774328:0.209103:0.774328:0.000000
A x:@0.227538:0.788005:0.249226:0.788005:0.249226:0.772969:0.227538:0.772969:0.000000:0.000000:0.000000
i:@0.249225:0.790891:0.251255:0.790891:0.251255:0.782110:0.249225:0.782110:0.000000
Q:@0.268687:0.788005:0.279540:0.788005:0.279540:0.772969:0.268687:0.772969:0.000000
3:@0.279540:0.790891:0.284062:0.790891:0.284062:0.782110:0.279540:0.782110:0.000000
El rango intercuatil se denota :@0.153350:0.810870:0.345572:0.810870:0.345572:0.795807:0.153350:0.795807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con :@0.153350:0.826712:0.181740:0.826712:0.181740:0.811649:0.153350:0.811649:0.000000:0.000000:0.000000:0.000000
RIC:@0.181740:0.826818:0.203288:0.826818:0.203288:0.811781:0.181740:0.811781:0.000000:0.000000:0.000000
 y se define como::@0.203288:0.826712:0.320332:0.826712:0.320332:0.811649:0.203288:0.811649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
RIC  Q:@0.153350:0.849789:0.203182:0.849789:0.203182:0.834752:0.153350:0.834752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=   –  .:@0.178679:0.849683:0.242739:0.849681:0.242739:0.834618:0.178679:0.834620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.203176:0.852674:0.207698:0.852674:0.207698:0.843892:0.203176:0.843892:0.000000
Q:@0.224849:0.849786:0.235702:0.849786:0.235702:0.834750:0.224849:0.834750:0.000000
1:@0.235700:0.852674:0.240223:0.852674:0.240223:0.843892:0.235700:0.843892:0.000000
Este número mide la dispersión :@0.153346:0.872652:0.360698:0.872652:0.360698:0.857589:0.153346:0.857589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los datos comprendidos :@0.153346:0.888494:0.333517:0.888494:0.333517:0.873431:0.153346:0.873431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre el primer y tercer cuartil.:@0.153346:0.904336:0.347802:0.904336:0.347802:0.889273:0.153346:0.889273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000