230:@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
En estadística es muy importante el análisis de la variabilidad de los datos. En esta sección :@0.293660:0.241667:0.930965:0.241667:0.930965:0.225233:0.293660:0.225233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nos enfocaremos en las medidas de dispersión. Algunas de estas medidas son el rango :@0.293660:0.258309:0.931315:0.258309:0.931315:0.241875:0.293660:0.241875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(amplitud), la varianza y la desviación estándar.:@0.293660:0.274951:0.630701:0.274951:0.630701:0.258517:0.293660:0.258517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.1 Rango:@0.293660:0.306903:0.372423:0.306903:0.372423:0.289956:0.293660:0.289956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Esta medida de dispersión se conoce también como amplitud.:@0.293660:0.330687:0.736697:0.330687:0.736697:0.314253:0.293660:0.314253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición.:@0.293660:0.361735:0.383395:0.361735:0.383395:0.344018:0.293660:0.344018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Sea X = { , ..., x } un conjunto de n datos reales. El mínimo valor del conjun-:@0.383395:0.361735:0.926926:0.361735:0.926926:0.344555:0.383395:0.344555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.448228:0.361735:0.456021:0.361735:0.456021:0.344584:0.448228:0.344584:0.000000
1 :@0.455634:0.364449:0.462671:0.364449:0.462671:0.355304:0.455634:0.355304:0.000000:0.000000
n:@0.491327:0.364449:0.496818:0.364449:0.496818:0.355304:0.491327:0.355304:0.000000
to de datos   se denota :@0.293665:0.381903:0.478292:0.381903:0.478292:0.364722:0.293665:0.364722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.384631:0.381903:0.394099:0.381903:0.394099:0.364751:0.384631:0.364751:0.000000
x:@0.478292:0.381903:0.486085:0.381903:0.486085:0.364751:0.478292:0.364751:0.000000
mín:@0.486076:0.385225:0.503084:0.385225:0.503084:0.375225:0.486076:0.375225:0.000000:0.000000:0.000000
 = mín {  | i = 1, 2, ...,  }. :@0.503084:0.381907:0.676526:0.381907:0.676526:0.364727:0.503084:0.364727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.562394:0.381907:0.570188:0.381907:0.570188:0.364756:0.562394:0.364756:0.000000
i:@0.570187:0.385225:0.572532:0.385225:0.572532:0.375208:0.570187:0.375208:0.000000
n:@0.654703:0.381907:0.664633:0.381907:0.664633:0.364756:0.654703:0.364756:0.000000
El máximo del conjunto de datos   se denota con  :@0.293660:0.415165:0.701712:0.415165:0.701712:0.398731:0.293660:0.398731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.561725:0.415165:0.570781:0.415165:0.570781:0.398759:0.561725:0.398759:0.000000
x   = máx {x:@0.705136:0.415165:0.802338:0.415165:0.802338:0.398759:0.705136:0.398759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
máx:@0.712629:0.418337:0.730937:0.418337:0.730937:0.408772:0.712629:0.408772:0.000000:0.000000:0.000000
i:@0.802090:0.418337:0.804301:0.418337:0.804301:0.408772:0.802090:0.408772:0.000000
 |   = 1, 2, ...,  }. :@0.804160:0.415165:0.930931:0.415165:0.930931:0.398731:0.804160:0.398731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.822567:0.415165:0.826359:0.415165:0.826359:0.398759:0.822567:0.398759:0.000000
n:@0.909689:0.415165:0.919187:0.415165:0.919187:0.398759:0.909689:0.398759:0.000000
 :@0.926900:0.415165:0.930931:0.415165:0.930931:0.398731:0.926900:0.398731:0.000000
El rango   se define como   = x  – :@0.293653:0.444163:0.555570:0.444162:0.555570:0.427728:0.293653:0.427729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.356882:0.444163:0.365828:0.444163:0.365828:0.427757:0.356882:0.427757:0.000000
R:@0.485659:0.444163:0.494605:0.444163:0.494605:0.427757:0.485659:0.427757:0.000000
máx:@0.521150:0.447033:0.538503:0.447033:0.538503:0.437888:0.521150:0.437888:0.000000:0.000000:0.000000
x .:@0.555478:0.444162:0.581615:0.444162:0.581615:0.427756:0.555478:0.427756:0.000000:0.000000:0.000000
mín:@0.562865:0.447033:0.578312:0.447033:0.578312:0.437903:0.562865:0.437903:0.000000:0.000000:0.000000
Ejercicio resuelto:@0.293652:0.475102:0.423495:0.475102:0.423495:0.458432:0.293652:0.458432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. Para el conjunto de datos   = {7,5; 7,9; 7,5; 8,2; 8,1; 8,2; 8,3; 7,5; 8,0; 8,0} se tiene x  =:@0.293660:0.498888:0.926911:0.498888:0.926911:0.482454:0.293660:0.482454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.512168:0.498888:0.522052:0.498888:0.522052:0.482482:0.512168:0.482482:0.000000
mín:@0.896059:0.501759:0.911998:0.501759:0.911998:0.492614:0.896059:0.492614:0.000000:0.000000:0.000000
7,5; :@0.323779:0.515530:0.351887:0.515530:0.351887:0.499096:0.323779:0.499096:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.351777:0.515530:0.359232:0.515530:0.359232:0.499124:0.351777:0.499124:0.000000
máx:@0.359168:0.518401:0.376521:0.518401:0.376521:0.509271:0.359168:0.509271:0.000000:0.000000:0.000000
 = 8,3. Luego, el rango del conjunto   es   = 8,3 – 7,5 = 0,8.:@0.376493:0.515530:0.799289:0.515530:0.799289:0.499096:0.376493:0.499096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.636366:0.515530:0.646251:0.515530:0.646251:0.499124:0.636366:0.499124:0.000000
R:@0.669702:0.515530:0.678648:0.515530:0.678648:0.499124:0.669702:0.499124:0.000000
2.2 Desviación media:@0.293642:0.544972:0.460853:0.544972:0.460853:0.528025:0.293642:0.528025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición.:@0.293660:0.569678:0.383395:0.569678:0.383395:0.551960:0.293660:0.551960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.383395:0.569678:0.387609:0.569678:0.387609:0.552497:0.383395:0.552497:0.000000
Sea   = { , ...,  } un conjunto de   datos reales, y  la media aritmética :@0.387955:0.569678:0.931130:0.569678:0.931130:0.552497:0.387955:0.552497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.419612:0.569678:0.429080:0.569678:0.429080:0.552526:0.419612:0.552526:0.000000
x:@0.454770:0.569678:0.462564:0.569678:0.462564:0.552526:0.454770:0.552526:0.000000
1:@0.462555:0.572390:0.467554:0.572390:0.467554:0.563245:0.462555:0.563245:0.000000
x:@0.493417:0.569678:0.501211:0.569678:0.501211:0.552526:0.493417:0.552526:0.000000
n:@0.501207:0.572390:0.506697:0.572390:0.506697:0.563245:0.501207:0.563245:0.000000
n:@0.640231:0.569678:0.650161:0.569678:0.650161:0.552526:0.640231:0.552526:0.000000
x:@0.767525:0.568885:0.774641:0.568885:0.774641:0.553224:0.767525:0.553224:0.000000
 :@0.775590:0.569361:0.779438:0.569361:0.779438:0.553674:0.775590:0.553674:0.000000
de  , la diferencia de   – :@0.293657:0.587076:0.480668:0.587076:0.480668:0.569895:0.293657:0.569895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.317288:0.587076:0.326756:0.587076:0.326756:0.569924:0.317288:0.569924:0.000000
x:@0.453074:0.587076:0.460867:0.587076:0.460867:0.569924:0.453074:0.569924:0.000000
i:@0.460862:0.589788:0.463003:0.589788:0.463003:0.580643:0.460862:0.580643:0.000000
x i:@0.481235:0.586283:0.502970:0.586760:0.502970:0.571099:0.481235:0.570623:0.000000:0.000000:0.000000
 ,   :@0.489300:0.586760:0.506818:0.586760:0.506818:0.571073:0.489300:0.571073:0.000000:0.000000:0.000000:0.000000:0.000000
= 1, ..., se llama desviación (o también desvío) de x de  .:@0.506468:0.587076:0.926911:0.587076:0.926911:0.569895:0.506468:0.569895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.884938:0.589788:0.887079:0.589788:0.887079:0.580643:0.884938:0.580643:0.000000
x:@0.915492:0.586283:0.922608:0.586283:0.922608:0.570623:0.915492:0.570623:0.000000
La desviación |  – :@0.293651:0.615189:0.436101:0.615196:0.436101:0.598015:0.293651:0.598008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.406998:0.615189:0.414792:0.615189:0.414792:0.598037:0.406998:0.598037:0.000000
i:@0.414797:0.618512:0.417108:0.618512:0.417108:0.608512:0.414797:0.608512:0.000000
x i:@0.437998:0.614403:0.461174:0.614879:0.461174:0.599219:0.437998:0.598742:0.000000:0.000000:0.000000
|,   = :@0.446063:0.614879:0.480203:0.614879:0.480203:0.599192:0.446063:0.599192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1, ...  se llama desviación absoluta de   de   (o también :@0.481066:0.615196:0.931128:0.615196:0.931128:0.598015:0.481066:0.598015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, n:@0.509008:0.615196:0.526655:0.615196:0.526655:0.598044:0.509008:0.598044:0.000000:0.000000:0.000000
x:@0.782657:0.615196:0.790451:0.615196:0.790451:0.598044:0.782657:0.598044:0.000000
i:@0.790443:0.618512:0.792755:0.618512:0.792755:0.608512:0.790443:0.608512:0.000000
x:@0.828980:0.614403:0.836096:0.614403:0.836096:0.598742:0.828980:0.598742:0.000000
 :@0.837045:0.614879:0.840893:0.614879:0.840893:0.599192:0.837045:0.599192:0.000000
desvío absoluto). Sirve para definir la desviación media.:@0.293653:0.632594:0.714769:0.632594:0.714769:0.615413:0.293653:0.615413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición.:@0.293653:0.660707:0.381656:0.660707:0.381656:0.642989:0.293653:0.642989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.381464:0.660707:0.385678:0.660707:0.385678:0.643526:0.381464:0.643526:0.000000
La desviación media absoluta :@0.385486:0.660707:0.609985:0.660707:0.609985:0.643526:0.385486:0.643526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.609793:0.660707:0.621840:0.660707:0.621840:0.643555:0.609793:0.643555:0.000000
m:@0.621647:0.663426:0.629781:0.663426:0.629781:0.654296:0.621647:0.654296:0.000000
 de un conjunto de datos :@0.629678:0.660714:0.822983:0.660714:0.822983:0.643533:0.629678:0.643533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.293659:0.714460:0.303127:0.714460:0.303127:0.697308:0.293659:0.697308:0.000000
 = { , ...,  } se define como :@0.303127:0.714460:0.511425:0.714460:0.511425:0.697280:0.303127:0.697279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.328125:0.714460:0.335919:0.714460:0.335919:0.697308:0.328125:0.697308:0.000000
1:@0.335918:0.717174:0.340917:0.717174:0.340917:0.708029:0.335918:0.708029:0.000000
x:@0.366088:0.714460:0.373881:0.714460:0.373881:0.697309:0.366088:0.697309:0.000000
n:@0.373882:0.717174:0.379373:0.717174:0.379373:0.708029:0.373882:0.708029:0.000000
.:@0.625439:0.717730:0.628195:0.717730:0.628195:0.701166:0.625439:0.701166:0.000000
.:@0.642091:0.780258:0.644846:0.780258:0.644846:0.763694:0.642091:0.763694:0.000000
1:@0.565159:0.710805:0.570077:0.710805:0.570077:0.701217:0.565159:0.701217:0.000000
1:@0.565159:0.773333:0.570077:0.773333:0.570077:0.763745:0.565159:0.763745:0.000000
D:@0.513282:0.717846:0.524920:0.717846:0.524920:0.701311:0.513282:0.701311:0.000000
x:@0.578158:0.697135:0.585634:0.697135:0.585634:0.680599:0.578158:0.680599:0.000000
x:@0.606541:0.697135:0.614017:0.697135:0.614017:0.680599:0.606541:0.680599:0.000000
n:@0.582975:0.729320:0.592340:0.729320:0.592340:0.712784:0.582975:0.712784:0.000000
D:@0.513279:0.780362:0.524918:0.780362:0.524918:0.763827:0.513279:0.763827:0.000000
a:@0.594382:0.759646:0.603361:0.759646:0.603361:0.743111:0.594382:0.743111:0.000000
x:@0.623189:0.759646:0.630665:0.759646:0.630665:0.743111:0.623189:0.743111:0.000000
N:@0.589719:0.791831:0.601627:0.791831:0.601627:0.775296:0.589719:0.775296:0.000000
m:@0.524644:0.720025:0.533210:0.720025:0.533210:0.710454:0.524644:0.710454:0.000000
i:@0.586532:0.699312:0.588729:0.699312:0.588729:0.689742:0.586532:0.689742:0.000000
i:@0.556776:0.710875:0.558973:0.710875:0.558973:0.701304:0.556776:0.701304:0.000000
n:@0.560184:0.679510:0.565604:0.679510:0.565604:0.669939:0.560184:0.669939:0.000000
m:@0.524639:0.782553:0.533205:0.782553:0.533205:0.772982:0.524639:0.772982:0.000000
i:@0.585278:0.761840:0.587475:0.761840:0.587475:0.752269:0.585278:0.752269:0.000000
i:@0.603190:0.761840:0.605387:0.761840:0.605387:0.752269:0.603190:0.752269:0.000000
i:@0.556782:0.773402:0.558979:0.773402:0.558979:0.763831:0.556782:0.763831:0.000000
n:@0.558790:0.742043:0.564210:0.742043:0.564210:0.732472:0.558790:0.732472:0.000000
∑:@0.552592:0.702234:0.573200:0.702234:0.573200:0.677714:0.552592:0.677714:0.000000
∑:@0.552592:0.764762:0.573200:0.764762:0.573200:0.740242:0.552592:0.740242:0.000000
=:@0.538048:0.718369:0.548627:0.718369:0.548627:0.702022:0.538048:0.702022:0.000000
−:@0.592772:0.697652:0.603350:0.697652:0.603350:0.681306:0.592772:0.681306:0.000000
=:@0.538048:0.780897:0.548627:0.780897:0.548627:0.764550:0.538048:0.764550:0.000000
ƒ:@0.574755:0.760180:0.584390:0.760180:0.584390:0.743834:0.574755:0.743834:0.000000
−:@0.609420:0.760180:0.619999:0.760180:0.619999:0.743834:0.609420:0.743834:0.000000
=:@0.559359:0.711175:0.565482:0.711175:0.565482:0.701713:0.559359:0.701713:0.000000
=:@0.559359:0.773703:0.565482:0.773703:0.565482:0.764241:0.559359:0.764241:0.000000
La desviación media absoluta para datos agrupados se calcula así:   :@0.293660:0.759565:0.788807:0.759565:0.788807:0.742384:0.293660:0.742384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.900169:0.699291:0.902891:0.699291:0.902891:0.682928:0.900169:0.682928:0.000000
.:@0.916617:0.761056:0.919339:0.761056:0.919339:0.744693:0.916617:0.744693:0.000000
1:@0.840623:0.692451:0.845482:0.692451:0.845482:0.682981:0.840623:0.682981:0.000000
1:@0.840623:0.754215:0.845482:0.754215:0.845482:0.744745:0.840623:0.744745:0.000000
D:@0.789379:0.699405:0.800876:0.699405:0.800876:0.683072:0.789379:0.683072:0.000000
x:@0.853466:0.678942:0.860852:0.678942:0.860852:0.662608:0.853466:0.662608:0.000000
x:@0.881503:0.678942:0.888889:0.678942:0.888889:0.662608:0.881503:0.662608:0.000000
n:@0.858225:0.710734:0.867475:0.710734:0.867475:0.694400:0.858225:0.694400:0.000000
D:@0.789379:0.761170:0.800876:0.761170:0.800876:0.744837:0.789379:0.744837:0.000000
a:@0.869493:0.740707:0.878363:0.740707:0.878363:0.724373:0.869493:0.724373:0.000000
x:@0.897949:0.740707:0.905334:0.740707:0.905334:0.724373:0.897949:0.724373:0.000000
N:@0.864887:0.772499:0.876650:0.772499:0.876650:0.756166:0.864887:0.756166:0.000000
m:@0.800603:0.701557:0.809064:0.701557:0.809064:0.692103:0.800603:0.692103:0.000000
i:@0.861735:0.681097:0.863906:0.681097:0.863906:0.671643:0.861735:0.671643:0.000000
i:@0.832342:0.692518:0.834513:0.692518:0.834513:0.683064:0.832342:0.683064:0.000000
n:@0.835702:0.661542:0.841057:0.661542:0.841057:0.652088:0.835702:0.652088:0.000000
m:@0.800603:0.763322:0.809064:0.763322:0.809064:0.753869:0.800603:0.753869:0.000000
i:@0.860501:0.742862:0.862672:0.742862:0.862672:0.733408:0.860501:0.733408:0.000000
i:@0.878195:0.742862:0.880365:0.742862:0.880365:0.733408:0.878195:0.733408:0.000000
i:@0.832353:0.754283:0.834524:0.754283:0.834524:0.744829:0.832353:0.744829:0.000000
n:@0.834326:0.723303:0.839681:0.723303:0.839681:0.713849:0.834326:0.713849:0.000000
∑:@0.828210:0.683984:0.848567:0.683984:0.848567:0.659763:0.828210:0.659763:0.000000
∑:@0.828210:0.745749:0.848567:0.745749:0.848567:0.721528:0.828210:0.721528:0.000000
=:@0.813844:0.699922:0.824294:0.699922:0.824294:0.683774:0.813844:0.683774:0.000000
−:@0.867901:0.679458:0.878350:0.679458:0.878350:0.663311:0.867901:0.663311:0.000000
=:@0.813844:0.761687:0.824294:0.761687:0.824294:0.745539:0.813844:0.745539:0.000000
ƒ:@0.850104:0.741223:0.859621:0.741223:0.859621:0.725076:0.850104:0.725076:0.000000
−:@0.884346:0.741223:0.894795:0.741223:0.894795:0.725076:0.884346:0.725076:0.000000
=:@0.834895:0.692817:0.840944:0.692817:0.840944:0.683471:0.834895:0.683471:0.000000
=:@0.834895:0.754580:0.840944:0.754580:0.840944:0.745234:0.834895:0.745234:0.000000
2.3 Varianza para datos no agrupados:@0.293660:0.791353:0.588859:0.791353:0.588859:0.774406:0.293660:0.774406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se llama también desviación cuadrada media de la población.:@0.293660:0.816056:0.744507:0.816056:0.744507:0.798875:0.293660:0.798875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición. :@0.293660:0.844807:0.387378:0.844807:0.387378:0.827090:0.293660:0.827090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea   = { , ...,  } un conjunto de   datos reales (  > 2).:@0.387378:0.844807:0.798465:0.844801:0.798465:0.827620:0.387378:0.827626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.418688:0.844807:0.428156:0.844807:0.428156:0.827655:0.418688:0.827655:0.000000
x:@0.453154:0.844807:0.460948:0.844807:0.460948:0.827655:0.453154:0.827655:0.000000
1:@0.460944:0.847514:0.465942:0.847514:0.465942:0.838368:0.460944:0.838368:0.000000
x:@0.491113:0.844801:0.498907:0.844801:0.498907:0.827649:0.491113:0.827649:0.000000
n:@0.498906:0.847514:0.504397:0.847514:0.504397:0.838368:0.498906:0.838368:0.000000
n:@0.636546:0.844801:0.646476:0.844801:0.646476:0.827649:0.636546:0.827649:0.000000
n:@0.750798:0.844801:0.760727:0.844801:0.760727:0.827649:0.750798:0.827649:0.000000
a.:@0.325203:0.868433:0.336690:0.868433:0.336690:0.851999:0.325203:0.851999:0.000000:0.000000
La varianza de la población   se denota   (que se lee sigma al cuadrado) y se:@0.355405:0.868433:0.926930:0.868433:0.926930:0.851999:0.355405:0.851999:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.559026:0.868433:0.568082:0.868433:0.568082:0.852027:0.559026:0.852027:0.000000
s:@0.649608:0.867878:0.660855:0.867878:0.660855:0.854162:0.649608:0.854162:0.000000
2:@0.660836:0.862369:0.666073:0.862369:0.666073:0.852788:0.660836:0.852788:0.000000
define como:  :@0.355329:0.909385:0.458944:0.909385:0.458944:0.892952:0.355329:0.892952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.512368:0.947367:0.517523:0.947367:0.517523:0.923991:0.512368:0.923991:0.000000
):@0.549846:0.947367:0.555001:0.947367:0.555001:0.923991:0.549846:0.923991:0.000000
,:@0.566424:0.908194:0.568638:0.908194:0.568638:0.894887:0.566424:0.894887:0.000000
1:@0.534364:0.965833:0.541191:0.965833:0.541191:0.952525:0.534364:0.952525:0.000000
,:@0.563823:0.956957:0.566037:0.956957:0.566037:0.943650:0.563823:0.943650:0.000000
2:@0.473236:0.901704:0.477188:0.901704:0.477188:0.894002:0.473236:0.894002:0.000000
2:@0.557507:0.883680:0.561458:0.883680:0.561458:0.875977:0.557507:0.875977:0.000000
1:@0.505206:0.902285:0.509158:0.902285:0.509158:0.894582:0.505206:0.894582:0.000000
2:@0.473236:0.950488:0.477188:0.950488:0.477188:0.942785:0.473236:0.942785:0.000000
2:@0.554890:0.930742:0.558842:0.930742:0.558842:0.923039:0.554890:0.923039:0.000000
1:@0.505206:0.951048:0.509158:0.951048:0.509158:0.943345:0.505206:0.943345:0.000000
x:@0.519015:0.892378:0.525021:0.892378:0.525021:0.879094:0.519015:0.879094:0.000000
n:@0.525115:0.917154:0.532638:0.917154:0.532638:0.903869:0.525115:0.903869:0.000000
x:@0.519015:0.941156:0.525022:0.941156:0.525022:0.927872:0.519015:0.927872:0.000000
x:@0.542530:0.941156:0.548536:0.941156:0.548536:0.927872:0.542530:0.927872:0.000000
n:@0.515223:0.965928:0.522746:0.965928:0.522746:0.952644:0.515223:0.952644:0.000000
i:@0.525745:0.894120:0.527511:0.894120:0.527511:0.886431:0.525745:0.886431:0.000000
i:@0.497942:0.902336:0.499707:0.902336:0.499707:0.894647:0.497942:0.894647:0.000000
n:@0.500926:0.878587:0.505280:0.878587:0.505280:0.870898:0.500926:0.870898:0.000000
i:@0.525745:0.942904:0.527511:0.942904:0.527511:0.935215:0.525745:0.935215:0.000000
i:@0.497942:0.951106:0.499707:0.951106:0.499707:0.943417:0.497942:0.943417:0.000000
n:@0.500926:0.927377:0.505280:0.927377:0.505280:0.919688:0.500926:0.919688:0.000000
∑:@0.494564:0.896855:0.511120:0.896855:0.511120:0.877156:0.494564:0.877156:0.000000
∑:@0.494564:0.945630:0.511120:0.945630:0.511120:0.925931:0.494564:0.925931:0.000000
=:@0.481744:0.908707:0.490242:0.908707:0.490242:0.895575:0.481744:0.895575:0.000000
−:@0.531095:0.892799:0.539594:0.892799:0.539594:0.879666:0.531095:0.879666:0.000000
=:@0.481744:0.957475:0.490242:0.957475:0.490242:0.944342:0.481744:0.944342:0.000000
−:@0.531095:0.941578:0.539594:0.941578:0.539594:0.928446:0.531095:0.928446:0.000000
−:@0.524485:0.966350:0.532984:0.966350:0.532984:0.953218:0.524485:0.953218:0.000000
=:@0.500159:0.902580:0.505078:0.902580:0.505078:0.894978:0.500159:0.894978:0.000000
=:@0.500159:0.951347:0.505078:0.951347:0.505078:0.943746:0.500159:0.943746:0.000000
 donde μ es la media de la población.:@0.569095:0.909392:0.839696:0.909392:0.839696:0.892958:0.569095:0.892958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 2. Medidas de dispersión:@0.073089:0.098522:0.528879:0.098522:0.528879:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Pueden dos conjuntos de datos tener la misma media aritmética aunque los datos :@0.293660:0.173057:0.846191:0.173057:0.846191:0.158118:0.293660:0.158118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sean totalmente diferentes?  Da un ejemplo.:@0.293660:0.188186:0.584558:0.188186:0.584558:0.173247:0.293660:0.173247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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 rango es una:@0.080953:0.292077:0.193464:0.292077:0.193464:0.277137:0.080953:0.277137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medida muy sensible:@0.080953:0.307206:0.219107:0.307206:0.219107:0.292266:0.080953:0.292266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de variabilidad que no:@0.080953:0.322335:0.225075:0.322335:0.225075:0.307395:0.080953:0.307395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
permite una buena:@0.080953:0.337464:0.205573:0.337464:0.205573:0.322524:0.080953:0.322524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
interpretación de los:@0.080953:0.352593:0.213901:0.352593:0.213901:0.337653:0.080953:0.337653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
datos.:@0.080953:0.367721:0.119410:0.367721:0.119410:0.352782:0.080953:0.352782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• La media aritmética del:@0.080953:0.389999:0.245724:0.389999:0.245724:0.375059:0.080953:0.375059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto x está definida:@0.080953:0.405128:0.235870:0.405128:0.235870:0.390188:0.080953:0.390188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como:@0.080953:0.420257:0.119223:0.420257:0.119223:0.405317:0.080953:0.405317:0.000000:0.000000:0.000000:0.000000
1 1:@0.109061:0.442999:0.116902:0.441714:0.116902:0.426429:0.109061:0.427714:0.000000:0.000000:0.000000
, ,:@0.152547:0.451263:0.155095:0.449979:0.155095:0.434694:0.152547:0.435978:0.000000:0.000000:0.000000
. .:@0.146797:0.493307:0.149340:0.492022:0.149340:0.476737:0.146797:0.478023:0.000000:0.000000:0.000000
0 0:@0.331413:0.535358:0.339256:0.534066:0.339256:0.518781:0.331413:0.520073:0.000000:0.000000:0.000000
1 1:@0.130610:0.463994:0.135149:0.462708:0.135149:0.453861:0.130610:0.455147:0.000000:0.000000:0.000000
1 1:@0.092536:0.506038:0.097070:0.504756:0.097070:0.495909:0.092536:0.497191:0.000000:0.000000:0.000000
1 1:@0.092536:0.548087:0.097070:0.546804:0.097070:0.537957:0.092536:0.539240:0.000000:0.000000:0.000000
1 1:@0.175692:0.548087:0.180226:0.546804:0.180226:0.537957:0.175692:0.539240:0.000000:0.000000:0.000000
1 1:@0.219122:0.548087:0.223656:0.546804:0.223656:0.537957:0.219122:0.539240:0.000000:0.000000:0.000000
1 1:@0.264013:0.548087:0.268547:0.546804:0.268547:0.537957:0.264013:0.539240:0.000000:0.000000:0.000000
x x:@0.082692:0.451370:0.089591:0.450084:0.089591:0.434826:0.082692:0.436112:0.000000:0.000000:0.000000
n n:@0.108296:0.461966:0.116937:0.460680:0.116937:0.445422:0.108296:0.446708:0.000000:0.000000:0.000000
x x:@0.139785:0.451370:0.146684:0.450084:0.146684:0.434826:0.139785:0.436112:0.000000:0.000000:0.000000
x x:@0.101729:0.493415:0.108628:0.492129:0.108628:0.476871:0.101729:0.478157:0.000000:0.000000:0.000000
nx nx:@0.128684:0.493415:0.144384:0.492129:0.144384:0.476871:0.128684:0.478157:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.107899:0.535465:0.114800:0.534173:0.114800:0.518915:0.107899:0.520207:0.000000:0.000000:0.000000
x x:@0.134089:0.535465:0.140991:0.534173:0.140991:0.518915:0.134089:0.520207:0.000000:0.000000:0.000000
x x:@0.184871:0.535465:0.191772:0.534173:0.191772:0.518915:0.184871:0.520207:0.000000:0.000000:0.000000
x x:@0.228593:0.535465:0.235495:0.534173:0.235495:0.518915:0.228593:0.520207:0.000000:0.000000:0.000000
x x:@0.273187:0.535465:0.280088:0.534173:0.280088:0.518915:0.273187:0.520207:0.000000:0.000000:0.000000
nx nx:@0.298026:0.535465:0.313729:0.534173:0.313729:0.518915:0.298026:0.520207:0.000000:0.000000:0.000000:0.000000:0.000000
i i:@0.147522:0.453381:0.149549:0.452095:0.149549:0.443263:0.147522:0.444549:0.000000:0.000000:0.000000
i i:@0.122884:0.464058:0.124911:0.462772:0.124911:0.453940:0.122884:0.455226:0.000000:0.000000:0.000000
n n:@0.126020:0.435115:0.131024:0.433835:0.131024:0.425003:0.126020:0.426284:0.000000:0.000000:0.000000
i i:@0.109451:0.495424:0.111475:0.494140:0.111475:0.485308:0.109451:0.486592:0.000000:0.000000:0.000000
i i:@0.084813:0.506100:0.086833:0.504814:0.086833:0.495983:0.084813:0.497269:0.000000:0.000000:0.000000
n n:@0.087952:0.477164:0.092946:0.475877:0.092946:0.467046:0.087952:0.468332:0.000000:0.000000:0.000000
i i:@0.115636:0.537472:0.117656:0.536186:0.117656:0.527354:0.115636:0.528640:0.000000:0.000000:0.000000
i i:@0.084813:0.548149:0.086833:0.546863:0.086833:0.538031:0.084813:0.539317:0.000000:0.000000:0.000000
n n:@0.087952:0.519212:0.092946:0.517926:0.092946:0.509094:0.087952:0.510380:0.000000:0.000000:0.000000
i i:@0.192616:0.537480:0.194637:0.536193:0.194637:0.527362:0.192616:0.528648:0.000000:0.000000:0.000000
i i:@0.167979:0.548157:0.169999:0.546870:0.169999:0.538039:0.167979:0.539325:0.000000:0.000000:0.000000
n n:@0.171117:0.519220:0.176112:0.517933:0.176112:0.509102:0.171117:0.510388:0.000000:0.000000:0.000000
i i:@0.211398:0.548157:0.213419:0.546870:0.213419:0.538039:0.211398:0.539325:0.000000:0.000000:0.000000
n n:@0.214537:0.519220:0.219532:0.517933:0.219532:0.509102:0.214537:0.510388:0.000000:0.000000:0.000000
i i:@0.280938:0.537487:0.282958:0.536201:0.282958:0.527370:0.280938:0.528656:0.000000:0.000000:0.000000
i i:@0.256300:0.548164:0.258321:0.546878:0.258321:0.538047:0.256300:0.539333:0.000000:0.000000:0.000000
n n:@0.259439:0.519227:0.264434:0.517941:0.264434:0.509110:0.259439:0.510396:0.000000:0.000000:0.000000
∑ ∑:@0.119026:0.456075:0.138043:0.454789:0.138043:0.432163:0.119026:0.433449:0.000000:0.000000:0.000000
∑ ∑:@0.080953:0.498120:0.099957:0.496826:0.099957:0.474200:0.080953:0.475494:0.000000:0.000000:0.000000
∑ ∑:@0.080953:0.540157:0.099957:0.538863:0.099957:0.516237:0.080953:0.517531:0.000000:0.000000:0.000000
∑ ∑∑:@0.164113:0.540157:0.271436:0.540157:0.271436:0.517531:0.164113:0.517531:0.000000:0.000000:0.000000:0.000000
( (:@0.100666:0.538753:0.106587:0.537467:0.106587:0.517556:0.100666:0.518842:0.000000:0.000000:0.000000
) ):@0.143375:0.538753:0.149296:0.537467:0.149296:0.517556:0.143375:0.518842:0.000000:0.000000:0.000000
= =:@0.094481:0.451852:0.104243:0.450566:0.104243:0.435482:0.094481:0.436768:0.000000:0.000000:0.000000
= =:@0.116272:0.493897:0.126034:0.492611:0.126034:0.477527:0.116272:0.478813:0.000000:0.000000:0.000000
− −:@0.121375:0.535947:0.131143:0.534655:0.131143:0.519572:0.121375:0.520863:0.000000:0.000000:0.000000
= =:@0.152064:0.535947:0.161832:0.534655:0.161832:0.519572:0.152064:0.520863:0.000000:0.000000:0.000000
− −:@0.198347:0.535947:0.208115:0.534655:0.208115:0.519572:0.198347:0.520863:0.000000:0.000000:0.000000
= =:@0.240381:0.535947:0.250149:0.534655:0.250149:0.519572:0.240381:0.520863:0.000000:0.000000:0.000000
− −:@0.286664:0.535947:0.296431:0.534655:0.296431:0.519572:0.286664:0.520863:0.000000:0.000000:0.000000
= =:@0.318597:0.535947:0.328365:0.534655:0.328365:0.519572:0.318597:0.520863:0.000000:0.000000:0.000000
= =:@0.125247:0.464335:0.130897:0.463049:0.130897:0.454318:0.125247:0.455604:0.000000:0.000000:0.000000
= =:@0.087185:0.506379:0.092839:0.505097:0.092839:0.496367:0.087185:0.497649:0.000000:0.000000:0.000000
= =:@0.087185:0.548428:0.092839:0.547146:0.092839:0.538415:0.087185:0.539697:0.000000:0.000000:0.000000
= =:@0.170341:0.548428:0.175994:0.547146:0.175994:0.538415:0.170341:0.539697:0.000000:0.000000:0.000000
= =:@0.213771:0.548428:0.219425:0.547146:0.219425:0.538415:0.213771:0.539697:0.000000:0.000000:0.000000
= =:@0.258662:0.548428:0.264316:0.547146:0.264316:0.538415:0.258662:0.539697:0.000000:0.000000:0.000000
 entonces,:@0.158978:0.454108:0.225096:0.454108:0.225096:0.439168:0.158978:0.439168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∑ ∑∑:@0.164100:0.538863:0.271424:0.538863:0.271424:0.516237:0.164100:0.516237:0.000000:0.000000:0.000000:0.000000
Por otro lado, tomando:@0.080953:0.520946:0.230543:0.520946:0.230543:0.506006:0.080953:0.506006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en consideración :@0.080953:0.536075:0.195513:0.536075:0.195513:0.521135:0.080953:0.521135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las propiedades del :@0.080953:0.551204:0.209780:0.551204:0.209780:0.536264:0.080953:0.536264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sumatorio, se tiene:@0.080953:0.566333:0.202740:0.566333:0.202740:0.551393:0.080953:0.551393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.109061:0.504343:0.116902:0.504343:0.116902:0.489058:0.109061:0.489058:0.000000
,:@0.152552:0.512608:0.155095:0.512608:0.155095:0.497323:0.152552:0.497323:0.000000
.:@0.146809:0.554658:0.149352:0.554658:0.149352:0.539373:0.146809:0.539373:0.000000
0:@0.331425:0.596708:0.339266:0.596708:0.339266:0.581424:0.331425:0.581424:0.000000
1:@0.130610:0.525336:0.135149:0.525336:0.135149:0.516489:0.130610:0.516489:0.000000
1:@0.092532:0.567385:0.097070:0.567385:0.097070:0.558538:0.092532:0.558538:0.000000
1:@0.092532:0.609433:0.097070:0.609433:0.097070:0.600586:0.092532:0.600586:0.000000
1:@0.175687:0.609433:0.180226:0.609433:0.180226:0.600586:0.175687:0.600586:0.000000
1:@0.219117:0.609433:0.223656:0.609433:0.223656:0.600586:0.219117:0.600586:0.000000
1:@0.264009:0.609433:0.268547:0.609433:0.268547:0.600586:0.264009:0.600586:0.000000
x:@0.082692:0.512713:0.089591:0.512713:0.089591:0.497455:0.082692:0.497455:0.000000
n:@0.108296:0.523309:0.116937:0.523309:0.116937:0.508051:0.108296:0.508051:0.000000
x:@0.139785:0.512713:0.146684:0.512713:0.146684:0.497455:0.139785:0.497455:0.000000
x:@0.101717:0.554763:0.108616:0.554763:0.108616:0.539505:0.101717:0.539505:0.000000
nx:@0.128672:0.554763:0.144373:0.554763:0.144373:0.539505:0.128672:0.539505:0.000000:0.000000
x:@0.107901:0.596802:0.114800:0.596802:0.114800:0.581544:0.107901:0.581544:0.000000
x:@0.134092:0.596802:0.140991:0.596802:0.140991:0.581544:0.134092:0.581544:0.000000
x:@0.184882:0.596802:0.191780:0.596802:0.191780:0.581544:0.184882:0.581544:0.000000
x:@0.228604:0.596802:0.235503:0.596802:0.235503:0.581544:0.228604:0.581544:0.000000
x:@0.273198:0.596802:0.280097:0.596802:0.280097:0.581544:0.273198:0.581544:0.000000
nx:@0.298037:0.596802:0.313737:0.596802:0.313737:0.581544:0.298037:0.581544:0.000000:0.000000
i:@0.147522:0.514724:0.149549:0.514724:0.149549:0.505892:0.147522:0.505892:0.000000
i:@0.122884:0.525401:0.124911:0.525401:0.124911:0.516569:0.122884:0.516569:0.000000
n:@0.126023:0.496464:0.131024:0.496464:0.131024:0.487632:0.126023:0.487632:0.000000
i:@0.109453:0.556772:0.111481:0.556772:0.111481:0.547941:0.109453:0.547941:0.000000
i:@0.084815:0.567449:0.086843:0.567449:0.086843:0.558617:0.084815:0.558617:0.000000
n:@0.087954:0.538512:0.092956:0.538512:0.092956:0.529681:0.087954:0.529681:0.000000
i:@0.115632:0.598813:0.117660:0.598813:0.117660:0.589981:0.115632:0.589981:0.000000
i:@0.084806:0.609488:0.086833:0.609488:0.086833:0.600656:0.084806:0.600656:0.000000
n:@0.087945:0.580551:0.092946:0.580551:0.092946:0.571719:0.087945:0.571719:0.000000
i:@0.192613:0.598813:0.194640:0.598813:0.194640:0.589981:0.192613:0.589981:0.000000
i:@0.167972:0.609488:0.170000:0.609488:0.170000:0.600656:0.167972:0.600656:0.000000
n:@0.171111:0.580551:0.176113:0.580551:0.176113:0.571719:0.171111:0.571719:0.000000
i:@0.211392:0.609488:0.213419:0.609488:0.213419:0.600656:0.211392:0.600656:0.000000
n:@0.214531:0.580551:0.219532:0.580551:0.219532:0.571719:0.214531:0.571719:0.000000
i:@0.280932:0.598818:0.282959:0.598818:0.282959:0.589987:0.280932:0.589987:0.000000
i:@0.256294:0.609495:0.258321:0.609495:0.258321:0.600664:0.256294:0.600664:0.000000
n:@0.259433:0.580559:0.264434:0.580559:0.264434:0.571727:0.259433:0.571727:0.000000
∑:@0.119026:0.517418:0.138043:0.517418:0.138043:0.494792:0.119026:0.494792:0.000000
∑:@0.080940:0.559455:0.099957:0.559455:0.099957:0.536829:0.080940:0.536829:0.000000
∑:@0.080940:0.601492:0.099957:0.601492:0.099957:0.578866:0.080940:0.578866:0.000000
∑ ∑∑:@0.164100:0.601492:0.271424:0.601492:0.271424:0.578866:0.164100:0.578866:0.000000:0.000000:0.000000:0.000000
(:@0.100666:0.600095:0.106587:0.600095:0.106587:0.580184:0.100666:0.580184:0.000000
):@0.143375:0.600095:0.149296:0.600095:0.149296:0.580184:0.143375:0.580184:0.000000
=:@0.094481:0.513195:0.104243:0.513195:0.104243:0.498111:0.094481:0.498111:0.000000
=:@0.116280:0.555245:0.126042:0.555245:0.126042:0.540161:0.116280:0.540161:0.000000
−:@0.121382:0.597284:0.131143:0.597284:0.131143:0.582200:0.121382:0.582200:0.000000
=:@0.152071:0.597284:0.161832:0.597284:0.161832:0.582200:0.152071:0.582200:0.000000
−:@0.198362:0.597284:0.208124:0.597284:0.208124:0.582200:0.198362:0.582200:0.000000
=:@0.240396:0.597284:0.250157:0.597284:0.250157:0.582200:0.240396:0.582200:0.000000
−:@0.286679:0.597284:0.296440:0.597284:0.296440:0.582200:0.286679:0.582200:0.000000
=:@0.318612:0.597284:0.328374:0.597284:0.328374:0.582200:0.318612:0.582200:0.000000
=:@0.125247:0.525678:0.130897:0.525678:0.130897:0.516947:0.125247:0.516947:0.000000
=:@0.087189:0.567726:0.092839:0.567726:0.092839:0.558995:0.087189:0.558995:0.000000
=:@0.087189:0.609774:0.092839:0.609774:0.092839:0.601044:0.087189:0.601044:0.000000
=:@0.170344:0.609774:0.175994:0.609774:0.175994:0.601044:0.170344:0.601044:0.000000
=:@0.213774:0.609774:0.219425:0.609774:0.219425:0.601044:0.213774:0.601044:0.000000
=:@0.258666:0.609774:0.264316:0.609774:0.264316:0.601044:0.258666:0.601044:0.000000
0:@0.159782:0.636210:0.167624:0.636210:0.167624:0.620925:0.159782:0.620925:0.000000
1:@0.004055:0.648947:0.008593:0.648947:0.008593:0.640100:0.004055:0.640100:0.000000
1:@0.047485:0.648947:0.052024:0.648947:0.052024:0.640100:0.047485:0.640100:0.000000
1:@0.092376:0.648947:0.096915:0.648947:0.096915:0.640100:0.092376:0.640100:0.000000
x:@0.013227:0.636328:0.020126:0.636328:0.020126:0.621069:0.013227:0.621069:0.000000
x:@0.056949:0.636328:0.063848:0.636328:0.063848:0.621069:0.056949:0.621069:0.000000
x:@0.101561:0.636318:0.108460:0.636318:0.108460:0.621060:0.101561:0.621060:0.000000
nx:@0.126401:0.636318:0.142101:0.636318:0.142101:0.621060:0.126401:0.621060:0.000000:0.000000
i:@0.020986:0.638342:0.023014:0.638342:0.023014:0.629511:0.020986:0.629511:0.000000
n:@-0.000513:0.620082:0.004489:0.620082:0.004489:0.611251:-0.000513:0.611251:0.000000
i:@0.039768:0.649019:0.041796:0.649019:0.041796:0.640188:0.039768:0.640188:0.000000
n:@0.042907:0.620082:0.047909:0.620082:0.047909:0.611251:0.042907:0.611251:0.000000
i:@0.109304:0.638327:0.111332:0.638327:0.111332:0.629496:0.109304:0.629496:0.000000
i:@0.084662:0.649003:0.086689:0.649003:0.086689:0.640172:0.084662:0.640172:0.000000
n:@0.087801:0.620066:0.092803:0.620066:0.092803:0.611235:0.087801:0.611235:0.000000
∑ ∑∑:@-0.007532:0.641007:0.099792:0.641007:0.099792:0.618381:-0.007532:0.618381:0.000000:0.000000:0.000000:0.000000
−:@0.026723:0.636810:0.036485:0.636810:0.036485:0.621726:0.026723:0.621726:0.000000
=:@0.068757:0.636810:0.078518:0.636810:0.078518:0.621726:0.068757:0.621726:0.000000
−:@0.115039:0.636810:0.124801:0.636810:0.124801:0.621726:0.115039:0.621726:0.000000
=:@0.146973:0.636810:0.156735:0.636810:0.156735:0.621726:0.146973:0.621726:0.000000
=:@-0.001288:0.649289:0.004362:0.649289:0.004362:0.640558:-0.001288:0.640558:0.000000
=:@0.042142:0.649289:0.047792:0.649289:0.047792:0.640558:0.042142:0.640558:0.000000
=:@0.087034:0.649289:0.092684:0.649289:0.092684:0.640558:0.087034:0.640558:0.000000
.:@0.176528:0.635310:0.179440:0.635310:0.179440:0.620370:0.176528:0.620370:0.000000
Por eso, no se toma la :@0.080953:0.661160:0.224328:0.661160:0.224328:0.646220:0.080953:0.646220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
media aritmética de :@0.080953:0.676289:0.213831:0.676289:0.213831:0.661349:0.080953:0.661349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las desviaciones como :@0.080953:0.691418:0.228930:0.691418:0.228930:0.676478:0.080953:0.676478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medida de variabilidad.:@0.080953:0.706547:0.231079:0.706547:0.231079:0.691607:0.080953:0.691607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.080953:0.250878:0.189513:0.250878:0.189513:0.233931:0.080953:0.233931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.080953:0.267520:0.178428:0.267520:0.178428:0.250573:0.080953:0.250573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
EC. (G. 10). Comprende y aplica las medidas de dispersión en el análisis de datos de diversa índole.:@0.404975:0.971366:0.919942:0.971366:0.919942:0.959415:0.404975:0.959415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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