﻿234:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Estadística:@0.073089:0.043661:0.169374:0.043661:0.169374:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Entre las medidas de posicióntenemos los :@0.293660:0.244049:0.602318:0.244049:0.602318:0.227615:0.293660:0.227615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuartiles:@0.601963:0.244049:0.666346:0.244049:0.666346:0.227379:0.601963:0.227379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, los deciles y los :@0.666241:0.244049:0.788116:0.244049:0.788116:0.227615:0.666241:0.227615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
percentiles:@0.787895:0.244049:0.871433:0.244049:0.871433:0.227379:0.787895:0.227379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. :@0.871317:0.244049:0.878551:0.244049:0.878551:0.227615:0.871317:0.227615:0.000000:0.000000
Sea :@0.293642:0.271411:0.323362:0.271411:0.323362:0.254977:0.293642:0.254977:0.000000:0.000000:0.000000:0.000000
A = x . . . x:@0.323130:0.271411:0.409586:0.271412:0.409586:0.255006:0.323130:0.255005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 { ,    ,  } un conjunto de n datos reales de una población o de una muestra, de :@0.346986:0.271411:0.931312:0.271412:0.931312:0.254978:0.346986:0.254977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.362994:0.274283:0.367992:0.274283:0.367992:0.265138:0.362994:0.265138:0.000000
n:@0.409509:0.274283:0.414999:0.274283:0.414999:0.265138:0.409509:0.265138:0.000000
los que suponemos que están ordenados en forma ascendente, esto es,  < :@0.293668:0.288054:0.842563:0.288054:0.842563:0.271620:0.293668:0.271620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.816398:0.288054:0.823853:0.288054:0.823853:0.271648:0.816398:0.271648:0.000000
i :@0.823769:0.290925:0.827682:0.290925:0.827682:0.281795:0.823769:0.281795:0.000000:0.000000
x:@0.842434:0.288054:0.849889:0.288054:0.849889:0.271648:0.842434:0.271648:0.000000
i+1 :@0.849829:0.290925:0.864498:0.290925:0.864498:0.281795:0.849829:0.281795:0.000000:0.000000:0.000000:0.000000
,     = 1, :@0.864457:0.288054:0.930963:0.288054:0.930963:0.271620:0.864457:0.271620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.879330:0.287638:0.892455:0.287638:0.892455:0.270649:0.879330:0.270649:0.000000
i:@0.892363:0.288054:0.896155:0.288054:0.896155:0.271648:0.892363:0.271648:0.000000
. . . n:@0.293648:0.304696:0.327094:0.304696:0.327094:0.288290:0.293648:0.288290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ,   – 1; y que están agrupados así::@0.306570:0.304696:0.551713:0.304696:0.551713:0.288262:0.306570:0.288262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.538276:0.332081:0.545392:0.332081:0.545392:0.316421:0.538276:0.316421:0.000000
1:@0.545391:0.335110:0.550390:0.335110:0.550390:0.325965:0.545391:0.325965:0.000000
                 ...       :@0.550391:0.332081:0.660180:0.332081:0.660180:0.316395:0.550391:0.316395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.581175:0.332081:0.588291:0.332081:0.588291:0.316421:0.581175:0.316421:0.000000
2:@0.588290:0.335110:0.593289:0.335110:0.593289:0.325965:0.588290:0.325965:0.000000
x:@0.660180:0.332081:0.667296:0.332081:0.667296:0.316421:0.660180:0.316421:0.000000
m:@0.667294:0.335110:0.675427:0.335110:0.675427:0.325980:0.667294:0.325980:0.000000
ƒ:@0.538276:0.352039:0.547479:0.352039:0.547479:0.335051:0.538276:0.335051:0.000000
1:@0.547479:0.355325:0.552478:0.355325:0.552478:0.346180:0.547479:0.346180:0.000000
                ...       :@0.552478:0.352298:0.660506:0.352298:0.660506:0.336611:0.552478:0.336611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ƒ:@0.579413:0.352039:0.588616:0.352039:0.588616:0.335051:0.579413:0.335051:0.000000
2:@0.588616:0.355325:0.593615:0.355325:0.593615:0.346180:0.588616:0.346180:0.000000
ƒ:@0.660505:0.352039:0.669709:0.352039:0.669709:0.335051:0.660505:0.335051:0.000000
m:@0.669709:0.355325:0.677842:0.355325:0.677842:0.346195:0.669709:0.346195:0.000000
 :@0.688814:0.377234:0.692845:0.377234:0.692845:0.360800:0.688814:0.360800:0.000000
A la frecuencia acumulada de cualquier medida o clase la denotamos con  y la definimos :@0.293665:0.393876:0.930948:0.393876:0.930948:0.377442:0.293665:0.377442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 F:@0.813210:0.393876:0.823941:0.393876:0.823941:0.377470:0.813210:0.377470:0.000000:0.000000
j:@0.823781:0.397048:0.825895:0.397048:0.825895:0.387483:0.823781:0.387483:0.000000
como  =   + :@0.293667:0.410517:0.401486:0.410517:0.401486:0.394084:0.293667:0.394084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F :@0.340164:0.410517:0.353526:0.410517:0.353526:0.394111:0.340164:0.394111:0.000000:0.000000
j:@0.348136:0.413690:0.350250:0.413690:0.350250:0.404125:0.348136:0.404125:0.000000
ƒ:@0.368288:0.410101:0.377492:0.410101:0.377492:0.393113:0.368288:0.393113:0.000000
1:@0.377411:0.413690:0.382648:0.413690:0.382648:0.404109:0.377411:0.404109:0.000000
. . . +   :@0.401394:0.410517:0.449342:0.410517:0.449342:0.394111:0.401394:0.394111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ƒ:@0.431711:0.410101:0.440915:0.410101:0.440915:0.393113:0.431711:0.393113:0.000000
j:@0.440824:0.413690:0.442939:0.413690:0.442939:0.404125:0.440824:0.404125:0.000000
, para   = 1,  , :@0.442899:0.410517:0.543606:0.410517:0.543606:0.394084:0.442899:0.394084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.485199:0.410517:0.488826:0.410517:0.488826:0.394111:0.485199:0.394111:0.000000
. . . m.:@0.523523:0.410517:0.561387:0.410517:0.561387:0.394111:0.523523:0.394111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.1 Cuartiles:@0.293653:0.442470:0.391061:0.442470:0.391061:0.425523:0.293653:0.425523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición.:@0.293660:0.467167:0.383703:0.467167:0.383703:0.449449:0.293660:0.449449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Los cuartiles son números que dividen al conjunto A en cuatro partes :@0.383703:0.467167:0.931212:0.467167:0.931212:0.449986:0.383703:0.449986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
porcentualmente iguales.:@0.293660:0.484565:0.489159:0.484565:0.489159:0.467384:0.293660:0.467384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para obtener los cuartiles, se calculan los números reales 0,25 , 0,5 , 0,75 .  Se tienen tres :@0.293660:0.508196:0.930875:0.508196:0.930875:0.491762:0.293660:0.491762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.727942:0.508196:0.737441:0.508196:0.737441:0.491790:0.727942:0.491790:0.000000
n:@0.764739:0.508196:0.774237:0.508196:0.774237:0.491790:0.764739:0.491790:0.000000
n:@0.810389:0.508196:0.819887:0.508196:0.819887:0.491790:0.810389:0.491790:0.000000
cuartiles denotados  ,  ,  , que guardan la relación :@0.293679:0.524838:0.679399:0.524838:0.679399:0.508404:0.293679:0.508404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q Q Q:@0.438341:0.524838:0.496439:0.524838:0.496439:0.508432:0.438341:0.508432:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.450067:0.527708:0.455065:0.527708:0.455065:0.518563:0.450067:0.518563:0.000000
2:@0.473181:0.527708:0.478180:0.527708:0.478180:0.518563:0.473181:0.518563:0.000000
3:@0.496296:0.527708:0.501294:0.527708:0.501294:0.518563:0.496296:0.518563:0.000000
Q:@0.678758:0.524838:0.690631:0.524838:0.690631:0.508432:0.678758:0.508432:0.000000
1  :@0.690499:0.527708:0.699564:0.527708:0.699564:0.518563:0.690499:0.518563:0.000000:0.000000:0.000000
<  <  . Estos cuartiles dividen :@0.699227:0.524838:0.930978:0.524838:0.930978:0.508404:0.699227:0.508404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.713474:0.524838:0.725347:0.524838:0.725347:0.508432:0.713474:0.508432:0.000000
2 :@0.725203:0.527708:0.732353:0.527708:0.732353:0.518563:0.725203:0.518563:0.000000:0.000000
Q:@0.746269:0.524838:0.758142:0.524838:0.758142:0.508432:0.746269:0.508432:0.000000
3:@0.757996:0.527708:0.762995:0.527708:0.762995:0.518563:0.757996:0.518563:0.000000
al conjunto   en cuatro subconjuntos designados :@0.293665:0.541480:0.658016:0.541480:0.658016:0.525046:0.293665:0.525046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.379829:0.541480:0.389714:0.541480:0.389714:0.525074:0.379829:0.525074:0.000000
A , A , A , A , :@0.657724:0.541480:0.742928:0.541480:0.742928:0.525074:0.657724:0.525074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.667547:0.544350:0.672545:0.544350:0.672545:0.535204:0.667547:0.535204:0.000000
2:@0.688832:0.544350:0.693831:0.544350:0.693831:0.535204:0.688832:0.535204:0.000000
3:@0.710118:0.544350:0.715116:0.544350:0.715116:0.535204:0.710118:0.535204:0.000000
4:@0.731401:0.544350:0.736400:0.544350:0.736400:0.535204:0.731401:0.535204:0.000000
de modo que:@0.742872:0.541480:0.842492:0.541480:0.842492:0.525046:0.742872:0.525046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∪:@0.493145:0.549283:0.512522:0.549283:0.512522:0.527879:0.493145:0.527879:0.000000
{:@0.498767:0.602404:0.506841:0.602404:0.506841:0.578717:0.498767:0.578717:0.000000
}:@0.591734:0.602404:0.599808:0.602404:0.599808:0.578717:0.591734:0.578717:0.000000
{:@0.644529:0.602404:0.652603:0.602404:0.652603:0.578717:0.644529:0.578717:0.000000
}:@0.737496:0.602404:0.745570:0.602404:0.745570:0.578717:0.737496:0.578717:0.000000
{:@0.497520:0.577978:0.505594:0.577978:0.505594:0.554719:0.497520:0.554719:0.000000
}:@0.589260:0.577978:0.597334:0.577978:0.597334:0.554719:0.589260:0.554719:0.000000
{:@0.644392:0.577978:0.652466:0.577978:0.652466:0.554719:0.644392:0.554719:0.000000
}:@0.737544:0.577978:0.745618:0.577978:0.745618:0.554719:0.737544:0.554719:0.000000
=:@0.481066:0.543660:0.490300:0.543660:0.490300:0.529391:0.481066:0.529391:0.000000
=:@0.485465:0.574017:0.494700:0.574017:0.494700:0.559747:0.485465:0.559747:0.000000
∈:@0.520250:0.574017:0.532243:0.574017:0.532243:0.559747:0.520250:0.559747:0.000000
≤:@0.561713:0.574017:0.570947:0.574017:0.570947:0.559747:0.561713:0.559747:0.000000
=:@0.632326:0.574017:0.641560:0.574017:0.641560:0.559747:0.632326:0.559747:0.000000
∈:@0.667111:0.574017:0.679103:0.574017:0.679103:0.559747:0.667111:0.559747:0.000000
≤:@0.708573:0.574017:0.717808:0.574017:0.717808:0.559747:0.708573:0.559747:0.000000
=:@0.486710:0.598323:0.495945:0.598323:0.495945:0.584053:0.486710:0.584053:0.000000
∈:@0.521495:0.598323:0.533488:0.598323:0.533488:0.584053:0.521495:0.584053:0.000000
≤:@0.562958:0.598323:0.572192:0.598323:0.572192:0.584053:0.562958:0.584053:0.000000
=:@0.632477:0.598323:0.641712:0.598323:0.641712:0.584053:0.632477:0.584053:0.000000
∈:@0.667262:0.598323:0.679255:0.598323:0.679255:0.584053:0.667262:0.584053:0.000000
≤:@0.713434:0.598323:0.722669:0.598323:0.722669:0.584053:0.713434:0.584053:0.000000
=:@0.499726:0.553506:0.505071:0.553506:0.505071:0.545246:0.499726:0.545246:0.000000
A:@0.468268:0.543039:0.478108:0.543039:0.478108:0.528022:0.468268:0.528022:0.000000
A ,:@0.516408:0.543039:0.534101:0.543039:0.534101:0.528022:0.516408:0.528022:0.000000:0.000000:0.000000
A:@0.468268:0.573396:0.478108:0.573396:0.478108:0.558378:0.468268:0.558378:0.000000
x:@0.506030:0.573396:0.513246:0.573396:0.513246:0.558378:0.506030:0.558378:0.000000
Ax:@0.533010:0.573396:0.554356:0.573396:0.554356:0.558378:0.533010:0.558378:0.000000:0.000000
Q ,:@0.573783:0.573396:0.602022:0.573391:0.602022:0.558373:0.573783:0.558378:0.000000:0.000000:0.000000
A:@0.613429:0.573396:0.623269:0.573396:0.623269:0.558378:0.613429:0.558378:0.000000
x:@0.653361:0.573396:0.660577:0.573396:0.660577:0.558378:0.653361:0.558378:0.000000
A x:@0.679299:0.573396:0.701670:0.573396:0.701670:0.558378:0.679299:0.558378:0.000000:0.000000:0.000000
Q ,:@0.720072:0.573396:0.749740:0.573391:0.749740:0.558373:0.720072:0.558378:0.000000:0.000000:0.000000
A:@0.468285:0.597702:0.478125:0.597702:0.478125:0.582685:0.468285:0.582685:0.000000
x:@0.507275:0.597702:0.514491:0.597702:0.514491:0.582685:0.507275:0.582685:0.000000
Ax:@0.534255:0.597702:0.555600:0.597702:0.555600:0.582685:0.534255:0.582685:0.000000:0.000000
Q ,:@0.575011:0.597702:0.604495:0.597697:0.604495:0.582680:0.575011:0.582685:0.000000:0.000000:0.000000
A:@0.613379:0.597702:0.623219:0.597702:0.623219:0.582685:0.613379:0.582685:0.000000
x:@0.653496:0.597702:0.660712:0.597702:0.660712:0.582685:0.653496:0.582685:0.000000
A Q:@0.679433:0.597702:0.704866:0.597702:0.704866:0.582685:0.679433:0.582685:0.000000:0.000000:0.000000
x .:@0.726194:0.597702:0.749067:0.597697:0.749067:0.582680:0.726194:0.582685:0.000000:0.000000:0.000000
i 1:@0.497303:0.553146:0.509962:0.553146:0.509962:0.544454:0.497303:0.544454:0.000000:0.000000:0.000000
i:@0.526423:0.545012:0.528457:0.545012:0.528457:0.536320:0.526423:0.536320:0.000000
i:@0.513804:0.575358:0.515839:0.575358:0.515839:0.566666:0.513804:0.566666:0.000000
i:@0.554655:0.575358:0.556690:0.575358:0.556690:0.566666:0.554655:0.566666:0.000000
i:@0.660668:0.575358:0.662703:0.575358:0.662703:0.566666:0.660668:0.566666:0.000000
i:@0.701520:0.575358:0.703554:0.575358:0.703554:0.566666:0.701520:0.566666:0.000000
i:@0.515041:0.599674:0.517075:0.599674:0.517075:0.590982:0.515041:0.590982:0.000000
i:@0.555892:0.599674:0.557927:0.599674:0.557927:0.590982:0.555892:0.590982:0.000000
i:@0.660801:0.599670:0.662836:0.599670:0.662836:0.590978:0.660801:0.590978:0.000000
i:@0.733557:0.599670:0.735591:0.599670:0.735591:0.590978:0.733557:0.590978:0.000000
4:@0.500733:0.528999:0.505484:0.528999:0.505484:0.520307:0.500733:0.520307:0.000000
1:@0.477237:0.575358:0.481988:0.575358:0.481988:0.566666:0.477237:0.566666:0.000000
1:@0.583902:0.575358:0.588653:0.575358:0.588653:0.566666:0.583902:0.566666:0.000000
2:@0.623093:0.575358:0.627844:0.575358:0.627844:0.566666:0.623093:0.566666:0.000000
2:@0.731179:0.575358:0.735931:0.575358:0.735931:0.566666:0.731179:0.566666:0.000000
3:@0.477649:0.599670:0.482400:0.599670:0.482400:0.590978:0.477649:0.590978:0.000000
3:@0.585550:0.599670:0.590302:0.599670:0.590302:0.590978:0.585550:0.590978:0.000000
4:@0.623229:0.599670:0.627980:0.599670:0.627980:0.590978:0.623229:0.590978:0.000000
3:@0.704113:0.599670:0.708864:0.599670:0.708864:0.590978:0.704113:0.590978:0.000000
El número de elementos de cada uno de estos conjuntos se denota con  ( ),  ( ), :@0.293660:0.636883:0.930941:0.636883:0.930941:0.620449:0.293660:0.620449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
N A:@0.842328:0.636883:0.868504:0.636883:0.868504:0.620477:0.842328:0.620477:0.000000:0.000000:0.000000
1:@0.868594:0.640055:0.873831:0.640055:0.873831:0.630474:0.868594:0.630474:0.000000
N A:@0.887177:0.636883:0.913352:0.636883:0.913352:0.620477:0.887177:0.620477:0.000000:0.000000:0.000000
2:@0.913441:0.640055:0.918678:0.640055:0.918678:0.630474:0.913441:0.630474:0.000000
N A N A:@0.293660:0.653525:0.362381:0.653525:0.362381:0.637119:0.293660:0.637119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ),  ( ).:@0.304833:0.653525:0.375510:0.653525:0.375510:0.637091:0.304833:0.637091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.319457:0.656697:0.324694:0.656697:0.324694:0.647116:0.319457:0.647116:0.000000
4:@0.362312:0.656697:0.367549:0.656697:0.367549:0.647116:0.362312:0.647116:0.000000
Se tiene:  ( ) ≤ 0,25 ;  ( ) ≤ 0,5 ,  ( 3) ≤ 0,75 ,  ( 4) ≥ 0,25 .:@0.293653:0.680887:0.757183:0.680888:0.757183:0.664454:0.293653:0.664453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
N A:@0.358926:0.680887:0.384788:0.680887:0.384788:0.664481:0.358926:0.664481:0.000000:0.000000:0.000000
1:@0.384733:0.684060:0.389969:0.684060:0.389969:0.674479:0.384733:0.674479:0.000000
n N A:@0.443340:0.680888:0.485695:0.680888:0.485695:0.664482:0.443340:0.664482:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.485639:0.684060:0.490876:0.684060:0.490876:0.674479:0.485639:0.674479:0.000000
n N A:@0.535339:0.680888:0.577694:0.680888:0.577694:0.664482:0.535339:0.664482:0.000000:0.000000:0.000000:0.000000:0.000000
n N A:@0.639947:0.680888:0.682303:0.680888:0.682303:0.664482:0.639947:0.664482:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.744556:0.680888:0.754054:0.680888:0.754054:0.664482:0.744556:0.664482:0.000000
3.2 Ejercicio resuelto:@0.293615:0.711828:0.450056:0.711828:0.450056:0.695158:0.293615:0.695158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Considera el conjunto de 10 datos dados en el conjunto::@0.293615:0.735612:0.703226:0.735612:0.703226:0.719178:0.293615:0.719178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.453077:0.759396:0.462962:0.759396:0.462962:0.742990:0.453077:0.742990:0.000000
 = {7,5; 7,9; 7,5; 8,2; 8,1; 8,2; 8,3; 7,5; 8,0; 8,0}.:@0.462888:0.759396:0.767767:0.759396:0.767767:0.742962:0.462888:0.742962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ordenamos este conjunto en forma ascendente. Se tiene::@0.293615:0.786758:0.710169:0.786758:0.710169:0.770324:0.293615:0.770324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.510402:0.791326:0.520047:0.791326:0.520047:0.773682:0.510402:0.773682:0.000000
8,08,0:@0.560819:0.770376:0.624181:0.770376:0.624181:0.752731:0.560819:0.752731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.588014:0.791326:0.597658:0.791326:0.597658:0.773682:0.588014:0.773682:0.000000
8,0:@0.643925:0.779995:0.668333:0.779995:0.668333:0.762350:0.643925:0.762350:0.000000:0.000000:0.000000
5:@0.499607:0.772330:0.505190:0.772330:0.505190:0.762117:0.499607:0.762117:0.000000
6:@0.531980:0.772330:0.537563:0.772330:0.537563:0.762117:0.531980:0.762117:0.000000
x:@0.451380:0.779997:0.459384:0.779997:0.459384:0.762382:0.451380:0.762382:0.000000
x:@0.491500:0.770006:0.499504:0.770006:0.499504:0.752391:0.491500:0.752391:0.000000
x:@0.522529:0.770006:0.530533:0.770006:0.530533:0.752391:0.522529:0.752391:0.000000
A =:@0.451380:0.812457:0.478203:0.812457:0.478203:0.794813:0.451380:0.794813:0.000000:0.000000:0.000000
m:@0.459973:0.782314:0.469056:0.782314:0.469056:0.772118:0.459973:0.772118:0.000000
=:@0.474152:0.779997:0.485931:0.779997:0.485931:0.762353:0.474152:0.762353:0.000000
+:@0.509054:0.770006:0.520833:0.770006:0.520833:0.752361:0.509054:0.752361:0.000000
=:@0.544668:0.779997:0.556447:0.779997:0.556447:0.762353:0.544668:0.762353:0.000000
+:@0.586982:0.770378:0.598761:0.770378:0.598761:0.752734:0.586982:0.752734:0.000000
=:@0.629295:0.779997:0.641074:0.779997:0.641074:0.762353:0.629295:0.762353:0.000000
 {7,5; 7,5; 7,5; 7,9; 8,0; 8,0; 8,1; 8,2; 8,2; 8,3}.:@0.480116:0.811508:0.770140:0.811508:0.770140:0.795074:0.480116:0.795074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como el número de elementos   del conjunto   es par,   =10, la mediana :@0.293668:0.838869:0.931001:0.838869:0.931001:0.822436:0.293668:0.822436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.562985:0.838869:0.572483:0.838869:0.572483:0.822463:0.562985:0.822463:0.000000
A:@0.694468:0.838869:0.704353:0.838869:0.704353:0.822463:0.694468:0.822463:0.000000
n:@0.775589:0.838869:0.785087:0.838869:0.785087:0.822463:0.775589:0.822463:0.000000
2:@0.353275:0.875675:0.362919:0.875675:0.362919:0.858031:0.353275:0.858031:0.000000
8,08,0:@0.403691:0.854725:0.467053:0.854725:0.467053:0.837080:0.403691:0.837080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.430886:0.875675:0.440531:0.875675:0.440531:0.858031:0.430886:0.858031:0.000000
8,0:@0.486786:0.864346:0.511200:0.864346:0.511200:0.846701:0.486786:0.846701:0.000000:0.000000:0.000000
5:@0.342481:0.856679:0.348064:0.856679:0.348064:0.846466:0.342481:0.846466:0.000000
6:@0.374854:0.856679:0.380437:0.856679:0.380437:0.846466:0.374854:0.846466:0.000000
x:@0.294253:0.864346:0.302257:0.864346:0.302257:0.846731:0.294253:0.846731:0.000000
x:@0.334372:0.854355:0.342377:0.854355:0.342377:0.836740:0.334372:0.836740:0.000000
x:@0.365401:0.854355:0.373406:0.854355:0.373406:0.836740:0.365401:0.836740:0.000000
A =:@0.294253:0.896806:0.321070:0.896807:0.321070:0.879162:0.294253:0.879162:0.000000:0.000000:0.000000
m:@0.302845:0.866663:0.311928:0.866663:0.311928:0.856467:0.302845:0.856467:0.000000
=:@0.317024:0.864346:0.328803:0.864346:0.328803:0.846701:0.317024:0.846701:0.000000
+:@0.351932:0.854362:0.363712:0.854362:0.363712:0.836718:0.351932:0.836718:0.000000
=:@0.387539:0.864346:0.399318:0.864346:0.399318:0.846701:0.387539:0.846701:0.000000
+:@0.429859:0.854727:0.441638:0.854727:0.441638:0.837082:0.429859:0.837082:0.000000
=:@0.472165:0.864346:0.483944:0.864346:0.483944:0.846701:0.472165:0.846701:0.000000
. Este coincide con el cuartil :@0.511120:0.865456:0.715244:0.865456:0.715244:0.849022:0.511120:0.849022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.714997:0.865456:0.726870:0.865456:0.726870:0.849050:0.714997:0.849050:0.000000
2   :@0.726805:0.868326:0.743258:0.868326:0.743258:0.859181:0.726805:0.859181:0.000000:0.000000:0.000000:0.000000
, luego   = 8,0. El 50 % de :@0.733952:0.865456:0.931006:0.865456:0.931006:0.849022:0.733952:0.849022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.789152:0.865456:0.801024:0.865456:0.801024:0.849050:0.789152:0.849050:0.000000
2:@0.800961:0.868326:0.805960:0.868326:0.805960:0.859181:0.800961:0.859181:0.000000
los datos se ubica bajo el cuartil  , esto es, {7,5; 7,5; 7,5; 7,9; 8,0}. La mediana de este :@0.293660:0.889406:0.930921:0.889410:0.930921:0.872976:0.293660:0.872973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.537961:0.889406:0.549834:0.889406:0.549834:0.873000:0.537961:0.873000:0.000000
2:@0.549892:0.892280:0.554891:0.892280:0.554891:0.883135:0.549892:0.883135:0.000000
conjunto es   = 7,5. El 25 % de los datos está ubicado bajo o coincidente con el cuartil :@0.293660:0.913361:0.931409:0.913364:0.931409:0.896931:0.293660:0.896927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.383745:0.913361:0.395618:0.913361:0.395618:0.896955:0.383745:0.896955:0.000000
1:@0.395544:0.916235:0.400543:0.916235:0.400543:0.907090:0.395544:0.907090:0.000000
Q:@0.293662:0.937315:0.305534:0.937315:0.305534:0.920909:0.293662:0.920909:0.000000
1:@0.305466:0.940189:0.310465:0.940189:0.310465:0.931044:0.305466:0.931044:0.000000
. En consecuencia, A  = {7,5; 7,5},  ( ) = 2:@0.310421:0.937319:0.610061:0.937319:0.610061:0.920885:0.310421:0.920885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.457373:0.940189:0.462371:0.940189:0.462371:0.931044:0.457373:0.931044:0.000000
N A:@0.546706:0.937319:0.572569:0.937319:0.572569:0.920912:0.546706:0.920912:0.000000:0.000000:0.000000
1:@0.572508:0.940189:0.577507:0.940189:0.577507:0.931044:0.572508:0.931044:0.000000
.:@0.609950:0.937319:0.613282:0.937319:0.613282:0.920912:0.609950:0.920912:0.000000
Tema 3. Medidas de posición:@0.073089:0.098522:0.498427:0.098522:0.498427:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Con qué cuartil, decil y percentil está relacionada la mediana?:@0.293660:0.173057:0.704736:0.173057:0.704736:0.158118:0.293660:0.158118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.302768:0.139600:0.437491:0.139600:0.437491:0.122653:0.302768:0.122653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El cuartil   es un valor :@0.083187:0.289427:0.232725:0.289427:0.232725:0.274487:0.083187:0.274487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.140698:0.289427:0.151491:0.289427:0.151491:0.274512:0.140698:0.274512:0.000000
1:@0.151263:0.292311:0.156024:0.292311:0.156024:0.283601:0.151263:0.283601:0.000000
numérico tal que, bajo :@0.083192:0.304556:0.231959:0.304556:0.231959:0.289616:0.083192:0.289616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
este o coincidente está :@0.083192:0.319685:0.235425:0.319685:0.235425:0.304745:0.083192:0.304745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ubicado el 25 % de todos :@0.083192:0.334814:0.250239:0.334814:0.250239:0.319874:0.083192:0.319874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los valores del conjunto  , :@0.083192:0.349942:0.254078:0.349942:0.254078:0.335003:0.083192:0.335003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.238750:0.349942:0.247736:0.349942:0.247736:0.335028:0.238750:0.335028:0.000000
los cuales se recogen en :@0.083175:0.365071:0.243512:0.365071:0.243512:0.350132:0.083175:0.350132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el conjunto  . El cuartil   :@0.083175:0.380200:0.256011:0.380200:0.256011:0.365261:0.083175:0.365261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.160017:0.380200:0.169003:0.380200:0.169003:0.365286:0.160017:0.365286:0.000000
1:@0.168794:0.383084:0.173554:0.383084:0.173554:0.374374:0.168794:0.374374:0.000000
Q:@0.237019:0.380200:0.247813:0.380200:0.247813:0.365286:0.237019:0.365286:0.000000
2:@0.247585:0.383084:0.252346:0.383084:0.252346:0.374374:0.247585:0.374374:0.000000
coincide con la mediana. :@0.083183:0.395329:0.247443:0.395329:0.247443:0.380389:0.083183:0.380389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Debajo del cuartil  , o :@0.083183:0.410458:0.234131:0.410458:0.234131:0.395518:0.083183:0.395518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.200270:0.410458:0.211063:0.410458:0.211063:0.395544:0.200270:0.395544:0.000000
3:@0.210833:0.413342:0.215593:0.413342:0.215593:0.404632:0.210833:0.404632:0.000000
coincidente con  , está el :@0.083190:0.425587:0.257177:0.425587:0.257177:0.410647:0.083190:0.410647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.191174:0.425587:0.201967:0.425587:0.201967:0.410673:0.191174:0.410673:0.000000
3:@0.201734:0.428471:0.206495:0.428471:0.206495:0.419761:0.201734:0.419761:0.000000
75 % de los datos de  .  :@0.083193:0.440716:0.237346:0.440716:0.237346:0.425776:0.083193:0.425776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.218838:0.440716:0.227824:0.440716:0.227824:0.425801:0.218838:0.425801:0.000000
A este conjunto lo :@0.083193:0.455845:0.204383:0.455845:0.204383:0.440905:0.083193:0.440905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
notamos:@0.083193:0.470974:0.141277:0.470974:0.141277:0.456034:0.083193:0.456034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.142803:0.472024:0.152447:0.472024:0.152447:0.454379:0.142803:0.454379:0.000000
8,08,0:@0.193219:0.451074:0.256581:0.451074:0.256581:0.433429:0.193219:0.433429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.220414:0.472024:0.230059:0.472024:0.230059:0.454379:0.220414:0.454379:0.000000
8,0:@0.276325:0.460692:0.300733:0.460692:0.300733:0.443048:0.276325:0.443048:0.000000:0.000000:0.000000
5:@0.132008:0.453026:0.137590:0.453026:0.137590:0.442813:0.132008:0.442813:0.000000
6:@0.164381:0.453026:0.169963:0.453026:0.169963:0.442813:0.164381:0.442813:0.000000
x:@0.083780:0.460693:0.091785:0.460693:0.091785:0.443078:0.083780:0.443078:0.000000
x:@0.123900:0.450702:0.131905:0.450702:0.131905:0.433087:0.123900:0.433087:0.000000
x:@0.154929:0.450702:0.162933:0.450702:0.162933:0.433087:0.154929:0.433087:0.000000
A =:@0.083780:0.493154:0.110603:0.493154:0.110603:0.475509:0.083780:0.475509:0.000000:0.000000:0.000000
m:@0.092373:0.463010:0.101456:0.463010:0.101456:0.452814:0.092373:0.452814:0.000000
=:@0.106551:0.460693:0.118331:0.460693:0.118331:0.443049:0.106551:0.443049:0.000000
+:@0.141454:0.450702:0.153233:0.450702:0.153233:0.433057:0.141454:0.433057:0.000000
=:@0.177068:0.460693:0.188847:0.460693:0.188847:0.443049:0.177068:0.443049:0.000000
+:@0.219381:0.451074:0.231160:0.451074:0.231160:0.433430:0.219381:0.433430:0.000000
=:@0.261695:0.460693:0.273474:0.460693:0.273474:0.443049:0.261695:0.443049:0.000000
3 = {:@0.098763:0.493149:0.127730:0.493149:0.127730:0.478209:0.098763:0.478209:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.127462:0.493149:0.138902:0.493149:0.138902:0.478235:0.127462:0.478235:0.000000:0.000000
i:@0.134013:0.496033:0.136022:0.496033:0.136022:0.487338:0.134013:0.487338:0.000000
∈:@0.138668:0.492771:0.150599:0.492771:0.150599:0.477327:0.138668:0.477327:0.000000
 A|  ≤  }.:@0.150348:0.493149:0.213937:0.493149:0.213937:0.478209:0.150348:0.478209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.166630:0.493149:0.173407:0.493149:0.173407:0.478235:0.166630:0.478235:0.000000
i:@0.173181:0.496033:0.175191:0.496033:0.175191:0.487338:0.173181:0.487338:0.000000
Q:@0.191642:0.493149:0.202435:0.493149:0.202435:0.478235:0.191642:0.478235:0.000000
3:@0.202205:0.496033:0.206965:0.496033:0.206965:0.487323:0.202205:0.487323:0.000000
El rango intercuatil se :@0.083195:0.511846:0.224410:0.511846:0.224410:0.496906:0.083195:0.496906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denota con RIC y se define :@0.083195:0.526975:0.257947:0.526975:0.257947:0.512035:0.083195:0.512035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como::@0.083195:0.542104:0.124143:0.542104:0.124143:0.527164:0.083195:0.527164:0.000000:0.000000:0.000000:0.000000:0.000000
RIC =   –  .:@0.083195:0.560801:0.168824:0.560812:0.168824:0.545872:0.083195:0.545861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.120578:0.560801:0.131372:0.560801:0.131372:0.545886:0.120578:0.545886:0.000000
3:@0.131131:0.563696:0.135892:0.563696:0.135892:0.554986:0.131131:0.554986:0.000000
Q:@0.150728:0.560812:0.161521:0.560812:0.161521:0.545898:0.150728:0.545898:0.000000
1:@0.161292:0.563696:0.166053:0.563696:0.166053:0.554986:0.161292:0.554986:0.000000
Este número mide la :@0.083180:0.579509:0.219733:0.579509:0.219733:0.564569:0.083180:0.564569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dispersión de los datos :@0.083180:0.594638:0.234247:0.594638:0.234247:0.579698:0.083180:0.579698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comprendidos entre el :@0.083180:0.609767:0.234258:0.609767:0.234258:0.594827:0.083180:0.594827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
primer y tercer cuartil.:@0.083180:0.624896:0.223376:0.624896:0.223376:0.609956:0.083180:0.609956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.080953:0.248228:0.189513:0.248228:0.189513:0.231281:0.080953:0.231281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.080953:0.264870:0.178428:0.264870:0.178428:0.247923:0.080953:0.247923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuartil.:@0.090135:0.695587:0.139003:0.694623:0.138477:0.679474:0.089609:0.680438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Cualesquiera :@0.138914:0.694625:0.231314:0.692802:0.230795:0.677867:0.138395:0.679691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los percentiles 25, :@0.090661:0.710712:0.232241:0.707918:0.231722:0.692983:0.090142:0.695777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
50 o 75.:@0.091187:0.725835:0.142509:0.724823:0.141989:0.709888:0.090667:0.710901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Percentil. :@0.091961:0.748105:0.158669:0.746789:0.158143:0.731640:0.091434:0.732956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Valor que :@0.158572:0.746791:0.224441:0.745491:0.223922:0.730556:0.158053:0.731856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
divide un conjunto :@0.092486:0.763229:0.221772:0.760678:0.221253:0.745743:0.091967:0.748294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ordenado de datos :@0.093012:0.778353:0.222451:0.775799:0.221932:0.760864:0.092493:0.763418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estadísticos de forma :@0.093538:0.793477:0.236987:0.790646:0.236468:0.775711:0.093019:0.778542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que un porcentaje de :@0.094063:0.808600:0.240445:0.805712:0.239926:0.790777:0.093544:0.793666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tales datos sea inferior a :@0.094589:0.823724:0.255409:0.820551:0.254890:0.805616:0.094070:0.808789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dicho valor.:@0.095115:0.838848:0.170654:0.837357:0.170135:0.822423:0.094596:0.823913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Glosario:@0.143408:0.670274:0.203028:0.670274:0.203028:0.654868:0.143408:0.654868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 10 (Ev. 2) Construye diagramas de caja y a partir de los resultados representados en ellos describe y compara la distribución de un conjunto de datos.:@0.111299:0.971366:0.919780:0.971366:0.919780:0.959415:0.111299:0.959415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.154178:0.144075:0.161096:0.144075:0.161096:0.130038:0.154178:0.130038:0.000000
2:@0.149950:0.160178:0.156526:0.160178:0.156526:0.148146:0.149950:0.148146:0.000000
2 3 4:@0.191674:0.184597:0.220743:0.184933:0.220743:0.172901:0.191674:0.172565:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.149950:0.169367:0.156526:0.169367:0.156526:0.157335:0.149950:0.157335:0.000000
1:@0.178520:0.184933:0.185097:0.184933:0.185097:0.172901:0.178520:0.172901:0.000000
5:@0.227320:0.184608:0.233897:0.184608:0.233897:0.172576:0.227320:0.172576:0.000000
-1:@0.147645:0.188598:0.158238:0.188598:0.158238:0.176566:0.147645:0.176566:0.000000:0.000000
-1:@0.140691:0.184933:0.151284:0.184933:0.151284:0.172901:0.140691:0.172901:0.000000:0.000000
0:@0.154599:0.174880:0.161176:0.174880:0.161176:0.162849:0.154599:0.162849:0.000000
-2:@0.147645:0.197939:0.158238:0.197939:0.158238:0.185907:0.147645:0.185907:0.000000:0.000000
-2:@0.126931:0.184933:0.137524:0.184933:0.137524:0.172901:0.126931:0.172901:0.000000:0.000000
-3:@0.113953:0.184933:0.124546:0.184933:0.124546:0.172901:0.113953:0.172901:0.000000:0.000000
y:@0.248228:0.185556:0.255146:0.185556:0.255146:0.171519:0.248228:0.171519:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000