﻿201:@0.890754:0.963104:0.932133:0.963104:0.932133:0.941283:0.890754:0.941283:0.000000:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10.º EGB:@0.820728:0.967458:0.879897:0.967458:0.879897:0.954794:0.820728:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.748004:0.068322:0.791647:0.068322:0.791647:0.048070:0.748004:0.048070:0.000000:0.000000:0.000000
. Representación:@0.791647:0.067693:0.923937:0.067693:0.923937:0.050792:0.791647:0.050792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desviación media:@0.096354:0.100402:0.237233:0.100402:0.237233:0.083501:0.096354:0.083501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para determinar la desviación media, utilizamos la fórmula::@0.096354:0.124121:0.524218:0.124121:0.524218:0.107732:0.096354:0.107732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∑:@0.325934:0.165839:0.345642:0.165839:0.345642:0.142479:0.325934:0.142479:0.000000
=:@0.310909:0.179683:0.321025:0.179683:0.321025:0.164110:0.310909:0.164110:0.000000
−:@0.366615:0.161026:0.376732:0.161026:0.376732:0.145453:0.366615:0.145453:0.000000
=:@0.407339:0.179683:0.417455:0.179683:0.417455:0.164110:0.407339:0.164110:0.000000
=:@0.474452:0.179683:0.484569:0.179683:0.484569:0.164110:0.474452:0.164110:0.000000
=:@0.332739:0.172641:0.338602:0.172641:0.338602:0.163616:0.332739:0.163616:0.000000
Dm:@0.281749:0.179006:0.307898:0.179006:0.307898:0.163613:0.281749:0.163613:0.000000:0.000000
x:@0.351166:0.160349:0.358629:0.160349:0.358629:0.144955:0.351166:0.144955:0.000000
x f:@0.380964:0.160349:0.398470:0.160349:0.398470:0.144955:0.380964:0.144955:0.000000:0.000000:0.000000
n:@0.359857:0.189497:0.369366:0.189497:0.369366:0.174103:0.359857:0.174103:0.000000
769,12:@0.421788:0.170047:0.470105:0.170047:0.470105:0.153659:0.421788:0.153659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
70:@0.436865:0.189497:0.454647:0.189497:0.454647:0.173108:0.436865:0.173108:0.000000:0.000000
10,99.:@0.486703:0.179006:0.530358:0.179006:0.530358:0.162617:0.486703:0.162617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.359333:0.162347:0.361533:0.162347:0.361533:0.153426:0.359333:0.153426:0.000000
i:@0.398079:0.162347:0.400279:0.162347:0.400279:0.153426:0.398079:0.153426:0.000000
i:@0.329494:0.172246:0.331694:0.172246:0.331694:0.163325:0.329494:0.163325:0.000000
n:@0.333211:0.144072:0.338721:0.144072:0.338721:0.135152:0.333211:0.135152:0.000000
1:@0.338444:0.172246:0.343655:0.172246:0.343655:0.162748:0.338444:0.162748:0.000000
Interpretación: cada valor de la variable difiere de la media aritmética en un promedio :@0.096359:0.214327:0.716595:0.214327:0.716595:0.197938:0.096359:0.197938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de 10,99.:@0.096359:0.230923:0.161740:0.230923:0.161740:0.214535:0.096359:0.214535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Varianza y desviación típica o estándar:@0.096359:0.261779:0.403382:0.261779:0.403382:0.244878:0.096359:0.244878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Costo de consumo de agua potable:@0.277208:0.291197:0.531660:0.291197:0.531660:0.275833:0.277208:0.275833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intervalo:@0.136521:0.327885:0.195289:0.327885:0.195289:0.312986:0.136521:0.312986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.282016:0.327885:0.286288:0.327885:0.286288:0.313891:0.282016:0.313891:0.000000
i:@0.286286:0.330759:0.288327:0.330759:0.288327:0.322073:0.286286:0.322073:0.000000
x:@0.400020:0.327883:0.406804:0.327883:0.406804:0.313889:0.400020:0.313889:0.000000
i:@0.406804:0.330759:0.408846:0.330759:0.408846:0.322073:0.406804:0.322073:0.000000
−:@0.517620:0.326674:0.527737:0.326674:0.527737:0.311102:0.517620:0.311102:0.000000
x:@0.502176:0.325997:0.509639:0.325997:0.509639:0.310604:0.502176:0.310604:0.000000
x:@0.531973:0.325997:0.539436:0.325997:0.539436:0.310604:0.531973:0.310604:0.000000
i:@0.510343:0.328001:0.512542:0.328001:0.512542:0.319080:0.510343:0.319080:0.000000
2:@0.543951:0.314094:0.549163:0.314094:0.549163:0.304596:0.543951:0.304596:0.000000
−:@0.631018:0.326669:0.641135:0.326669:0.641135:0.311096:0.631018:0.311096:0.000000
x:@0.615576:0.325992:0.623039:0.325992:0.623039:0.310599:0.615576:0.310599:0.000000
x f:@0.645374:0.325992:0.670159:0.325992:0.670159:0.310599:0.645374:0.310599:0.000000:0.000000:0.000000
i:@0.623741:0.327996:0.625941:0.327996:0.625941:0.319075:0.623741:0.319075:0.000000
i:@0.669760:0.327996:0.671960:0.327996:0.671960:0.319075:0.669760:0.319075:0.000000
2:@0.657350:0.314087:0.662561:0.314087:0.662561:0.304589:0.657350:0.304589:0.000000
[30 – 40):@0.112927:0.363498:0.170220:0.363498:0.170220:0.348599:0.112927:0.348599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.277000:0.363498:0.293351:0.363498:0.293351:0.348599:0.277000:0.348599:0.000000:0.000000
35:@0.396261:0.363498:0.412611:0.363498:0.412611:0.348599:0.396261:0.348599:0.000000:0.000000
446,90:@0.501801:0.363498:0.545591:0.363498:0.545591:0.348599:0.501801:0.348599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 469:@0.625115:0.363498:0.660814:0.363498:0.660814:0.348599:0.625115:0.348599:0.000000:0.000000:0.000000:0.000000:0.000000
[40 – 50):@0.112944:0.386708:0.170237:0.386708:0.170237:0.371809:0.112944:0.371809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
14:@0.277017:0.386708:0.293367:0.386708:0.293367:0.371809:0.277017:0.371809:0.000000:0.000000
45:@0.396277:0.386708:0.412628:0.386708:0.412628:0.371809:0.396277:0.371809:0.000000:0.000000
124,10:@0.501817:0.386708:0.545608:0.386708:0.545608:0.371809:0.501817:0.371809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 737,4:@0.619754:0.386708:0.666209:0.386708:0.666209:0.371809:0.619754:0.371809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[50 – 60):@0.112961:0.409918:0.168914:0.409918:0.168914:0.395019:0.112961:0.395019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
15:@0.277117:0.409918:0.293300:0.409918:0.293300:0.395019:0.277117:0.395019:0.000000:0.000000
55:@0.396378:0.409918:0.412561:0.409918:0.412561:0.395019:0.396378:0.395019:0.000000:0.000000
1,30:@0.510261:0.409918:0.537198:0.409918:0.537198:0.395019:0.510261:0.395019:0.000000:0.000000:0.000000:0.000000
19,5:@0.629521:0.409918:0.656459:0.409918:0.656459:0.395019:0.629521:0.395019:0.000000:0.000000:0.000000:0.000000
[60 – 70):@0.112961:0.433128:0.168914:0.433128:0.168914:0.418229:0.112961:0.418229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
20:@0.277117:0.433128:0.293300:0.433128:0.293300:0.418229:0.277117:0.418229:0.000000:0.000000
65:@0.396378:0.433128:0.412561:0.433128:0.412561:0.418229:0.396378:0.418229:0.000000:0.000000
78,50:@0.506257:0.433128:0.541202:0.433128:0.541202:0.418229:0.506257:0.418229:0.000000:0.000000:0.000000:0.000000:0.000000
1 570:@0.625149:0.433128:0.660848:0.433128:0.660848:0.418229:0.625149:0.418229:0.000000:0.000000:0.000000:0.000000:0.000000
[70 – 80):@0.112977:0.456337:0.168931:0.456337:0.168931:0.441438:0.112977:0.441438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
11:@0.277134:0.456337:0.293317:0.456337:0.293317:0.441438:0.277134:0.441438:0.000000:0.000000
75:@0.396395:0.456337:0.412577:0.456337:0.412577:0.441438:0.396395:0.441438:0.000000:0.000000
355,70:@0.502270:0.456337:0.545223:0.456337:0.545223:0.441438:0.502270:0.441438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 912,7:@0.619788:0.456337:0.666242:0.456337:0.666242:0.441438:0.619788:0.441438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Total:@0.112994:0.480679:0.147973:0.480679:0.147973:0.465315:0.112994:0.465315:0.000000:0.000000:0.000000:0.000000:0.000000
70:@0.276347:0.480679:0.294138:0.480679:0.294138:0.465315:0.276347:0.465315:0.000000:0.000000
11 708,6:@0.612970:0.480679:0.673094:0.480679:0.673094:0.465315:0.612970:0.465315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para determinar la varianza, aplicamos la fórmula::@0.096359:0.522153:0.455932:0.522153:0.455932:0.505764:0.096359:0.505764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.335233:0.555268:0.343139:0.555268:0.347943:0.538879:0.340037:0.538879:0.000000
x f:@0.363870:0.555268:0.389539:0.555268:0.394343:0.538879:0.368674:0.538879:0.000000:0.000000:0.000000
n:@0.348320:0.585717:0.358197:0.585717:0.363001:0.569329:0.353124:0.569329:0.000000
11 708,6:@0.414197:0.566270:0.476077:0.566270:0.476077:0.549881:0.414197:0.549881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
70:@0.436603:0.585717:0.454386:0.585717:0.454386:0.569329:0.436603:0.569329:0.000000:0.000000
167,3.:@0.491938:0.574795:0.535612:0.574795:0.535612:0.558406:0.491938:0.558406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.344716:0.557272:0.346948:0.557272:0.349732:0.547774:0.347500:0.547774:0.000000
i:@0.391044:0.557272:0.393276:0.557272:0.396060:0.547774:0.393828:0.547774:0.000000
i:@0.315663:0.568469:0.317895:0.568469:0.320679:0.558971:0.318447:0.558971:0.000000
n:@0.318596:0.538572:0.324320:0.538572:0.327104:0.529074:0.321380:0.529074:0.000000
2:@0.289288:0.567133:0.294500:0.567133:0.294500:0.557635:0.289288:0.557635:0.000000
2:@0.378388:0.543087:0.383600:0.543087:0.383600:0.533589:0.378388:0.533589:0.000000
1:@0.324734:0.568472:0.329945:0.568472:0.329945:0.558973:0.324734:0.558973:0.000000
∑:@0.312688:0.560331:0.332396:0.560331:0.332396:0.536971:0.312688:0.536971:0.000000
σ=:@0.276724:0.575473:0.309083:0.575473:0.309083:0.559900:0.276724:0.559900:0.000000:0.000000
−:@0.352627:0.555945:0.362744:0.555945:0.362744:0.540372:0.352627:0.540372:0.000000
=:@0.401214:0.575473:0.411331:0.575473:0.411331:0.559900:0.401214:0.559900:0.000000
=:@0.480416:0.575473:0.490533:0.575473:0.490533:0.559900:0.480416:0.559900:0.000000
=:@0.319704:0.568862:0.325567:0.568862:0.325567:0.559837:0.319704:0.559837:0.000000
Para determinar la desviación típica, extraemos la raíz cuadrada de la varianza::@0.096359:0.599777:0.664865:0.599777:0.664865:0.583388:0.096359:0.583388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∑:@0.315358:0.641766:0.335066:0.641766:0.335066:0.618407:0.315358:0.618407:0.000000
σ=:@0.272901:0.655612:0.297944:0.655612:0.297944:0.640039:0.272901:0.640039:0.000000:0.000000
−:@0.356028:0.636955:0.366145:0.636955:0.366145:0.621382:0.356028:0.621382:0.000000
=:@0.405508:0.655612:0.415624:0.655612:0.415624:0.640039:0.405508:0.640039:0.000000
=:@0.484452:0.655612:0.494568:0.655612:0.494568:0.640039:0.484452:0.640039:0.000000
=:@0.322165:0.648569:0.328028:0.648569:0.328028:0.639544:0.322165:0.639544:0.000000
x:@0.340592:0.636271:0.348055:0.636271:0.348055:0.620878:0.340592:0.620878:0.000000
x f:@0.370390:0.636271:0.395175:0.636271:0.395175:0.620878:0.370390:0.620878:0.000000:0.000000:0.000000
n:@0.352939:0.665425:0.362447:0.665425:0.362447:0.650032:0.352939:0.650032:0.000000
167,3012,93.:@0.430261:0.654928:0.539979:0.654928:0.539979:0.638539:0.430261:0.638539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.348759:0.638275:0.350959:0.638275:0.350959:0.629354:0.348759:0.629354:0.000000
i:@0.394778:0.638275:0.396978:0.638275:0.396978:0.629354:0.394778:0.629354:0.000000
i:@0.318920:0.648174:0.321120:0.648174:0.321120:0.639253:0.318920:0.639253:0.000000
n:@0.322637:0.620000:0.328147:0.620000:0.328147:0.611079:0.322637:0.611079:0.000000
2:@0.382368:0.624360:0.387579:0.624360:0.387579:0.614862:0.382368:0.614862:0.000000
1:@0.327870:0.648174:0.333081:0.648174:0.333081:0.638676:0.327870:0.638676:0.000000
Las medidas de dispersión sirven para determinar qué tan dispersos están los datos :@0.096359:0.681173:0.716554:0.681173:0.716554:0.664784:0.096359:0.664784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
respecto de la media aritmética.:@0.096359:0.697769:0.330810:0.697769:0.330810:0.681380:0.096359:0.681380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades de la varianza y la desviación típica:@0.096359:0.728625:0.477551:0.728625:0.477551:0.711724:0.096359:0.711724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.096359:0.752344:0.113534:0.752344:0.113534:0.735720:0.096359:0.735720:0.000000:0.000000:0.000000
La varianza y la desviación típica siempre son un valor positivo o cero para el caso :@0.120094:0.752344:0.716633:0.752344:0.716633:0.735955:0.120094:0.735955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de puntuaciones iguales.:@0.120094:0.768940:0.303114:0.768940:0.303114:0.752551:0.120094:0.752551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.096359:0.792659:0.113534:0.792659:0.113534:0.776035:0.096359:0.776035:0.000000:0.000000:0.000000
Si a todos los valores de la variable se les suma un número, la varianza y la desvia-:@0.120094:0.792659:0.712522:0.792659:0.712522:0.776270:0.120094:0.776270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ción típica no variarán.:@0.120094:0.809255:0.285148:0.809255:0.285148:0.792867:0.120094:0.792867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. :@0.096359:0.832974:0.113534:0.832974:0.113534:0.816350:0.096359:0.816350:0.000000:0.000000:0.000000
Si todos los valores de la variable se multiplican por un número, la varianza queda :@0.120094:0.832974:0.716488:0.832974:0.716488:0.816586:0.120094:0.816586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
multiplicada por el cuadrado de dicho número y la desviación típica queda multi-:@0.120094:0.849571:0.712450:0.849571:0.712450:0.833182:0.120094:0.833182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
plicada por dicho número.:@0.120094:0.866167:0.313896:0.866167:0.313896:0.849778:0.120094:0.849778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4. :@0.096359:0.889886:0.113534:0.889886:0.113534:0.873262:0.096359:0.873262:0.000000:0.000000:0.000000
Cuanto más pequeña sea la desviación típica, mayor será la concentración de da-:@0.120094:0.889886:0.712579:0.889886:0.712579:0.873497:0.120094:0.873497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tos alrededor de la media.:@0.120094:0.906483:0.309880:0.906483:0.309880:0.890094:0.120094:0.890094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La desviación media se :@0.755599:0.145481:0.912854:0.145481:0.912854:0.130582:0.755599:0.130582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calcula así::@0.755599:0.160569:0.825691:0.160569:0.825691:0.145670:0.755599:0.145670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∑:@0.806069:0.196542:0.825778:0.196542:0.825778:0.173183:0.806069:0.173183:0.000000
=:@0.791044:0.210388:0.801161:0.210388:0.801161:0.194815:0.791044:0.194815:0.000000
−:@0.846751:0.191731:0.856868:0.191731:0.856868:0.176158:0.846751:0.176158:0.000000
=:@0.812876:0.203345:0.818739:0.203345:0.818739:0.194320:0.812876:0.194320:0.000000
Dm:@0.761885:0.209710:0.788034:0.209710:0.788034:0.194317:0.761885:0.194317:0.000000:0.000000
x:@0.831303:0.191047:0.838767:0.191047:0.838767:0.175654:0.831303:0.175654:0.000000
x f:@0.861101:0.191047:0.878615:0.191047:0.878615:0.175654:0.861101:0.175654:0.000000:0.000000:0.000000
n:@0.839993:0.220200:0.849501:0.220200:0.849501:0.204807:0.839993:0.204807:0.000000
i:@0.839470:0.193051:0.841670:0.193051:0.841670:0.184130:0.839470:0.184130:0.000000
i:@0.878216:0.193051:0.880416:0.193051:0.880416:0.184130:0.878216:0.184130:0.000000
i:@0.809629:0.202952:0.811829:0.202952:0.811829:0.194031:0.809629:0.194031:0.000000
n:@0.813346:0.174778:0.818856:0.174778:0.818856:0.165857:0.813346:0.165857:0.000000
1:@0.818579:0.202952:0.823790:0.202952:0.823790:0.193454:0.818579:0.193454:0.000000
La varianza se determina :@0.755599:0.236432:0.923740:0.236432:0.923740:0.221533:0.755599:0.221533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
así::@0.755599:0.251519:0.775870:0.251519:0.775870:0.236620:0.755599:0.236620:0.000000:0.000000:0.000000:0.000000
∑:@0.795805:0.287494:0.815513:0.287494:0.815513:0.264134:0.795805:0.264134:0.000000
σ=:@0.758583:0.301339:0.790905:0.301339:0.790905:0.285766:0.758583:0.285766:0.000000:0.000000
−:@0.836477:0.282681:0.846593:0.282681:0.846593:0.267109:0.836477:0.267109:0.000000
=:@0.802610:0.294295:0.808473:0.294295:0.808473:0.285270:0.802610:0.285270:0.000000
x:@0.821037:0.281998:0.828501:0.281998:0.828501:0.266604:0.821037:0.266604:0.000000
x f:@0.850835:0.281998:0.875620:0.281998:0.875620:0.266604:0.850835:0.266604:0.000000:0.000000:0.000000
n:@0.833392:0.311152:0.842901:0.311152:0.842901:0.295759:0.833392:0.295759:0.000000
.:@0.882132:0.300661:0.885338:0.300661:0.885338:0.284272:0.882132:0.284272:0.000000
i:@0.829204:0.284001:0.831404:0.284001:0.831404:0.275080:0.829204:0.275080:0.000000
i:@0.875223:0.284001:0.877423:0.284001:0.877423:0.275080:0.875223:0.275080:0.000000
i:@0.799365:0.293903:0.801565:0.293903:0.801565:0.284982:0.799365:0.284982:0.000000
n:@0.803081:0.265729:0.808592:0.265729:0.808592:0.256808:0.803081:0.256808:0.000000
2:@0.770733:0.292997:0.775944:0.292997:0.775944:0.283499:0.770733:0.283499:0.000000
2:@0.862823:0.270089:0.868035:0.270089:0.868035:0.260591:0.862823:0.260591:0.000000
1:@0.808325:0.293903:0.813537:0.293903:0.813537:0.284405:0.808325:0.284405:0.000000
La desviación típica es la :@0.755599:0.327384:0.922118:0.327384:0.922118:0.312485:0.755599:0.312485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
raíz cuadrada de la :@0.755599:0.342471:0.883822:0.342471:0.883822:0.327572:0.755599:0.327572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
varianza.:@0.755599:0.357559:0.813194:0.357559:0.813194:0.342660:0.755599:0.342660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∑:@0.804709:0.403176:0.824417:0.403176:0.824417:0.379816:0.804709:0.379816:0.000000
σ=:@0.762252:0.417020:0.787295:0.417020:0.787295:0.401447:0.762252:0.401447:0.000000:0.000000
−:@0.845379:0.398363:0.855495:0.398363:0.855495:0.382790:0.845379:0.382790:0.000000
=:@0.811514:0.409977:0.817377:0.409977:0.817377:0.400952:0.811514:0.400952:0.000000
x:@0.829941:0.397679:0.837405:0.397679:0.837405:0.382286:0.829941:0.382286:0.000000
x f:@0.859739:0.397679:0.884524:0.397679:0.884524:0.382286:0.859739:0.382286:0.000000:0.000000:0.000000
n:@0.842288:0.426834:0.851797:0.426834:0.851797:0.411440:0.842288:0.411440:0.000000
.:@0.891342:0.416336:0.894549:0.416336:0.894549:0.399947:0.891342:0.399947:0.000000
i:@0.838108:0.399683:0.840308:0.399683:0.840308:0.390762:0.838108:0.390762:0.000000
i:@0.884127:0.399683:0.886327:0.399683:0.886327:0.390762:0.884127:0.390762:0.000000
i:@0.808269:0.409584:0.810469:0.409584:0.810469:0.400663:0.808269:0.400663:0.000000
n:@0.811985:0.381411:0.817496:0.381411:0.817496:0.372489:0.811985:0.372489:0.000000
2:@0.871717:0.385771:0.876928:0.385771:0.876928:0.376273:0.871717:0.376273:0.000000
1:@0.817218:0.409584:0.822430:0.409584:0.822430:0.400086:0.817218:0.400086:0.000000
     Matemática:@0.776463:0.113039:0.884004:0.113039:0.884004:0.096138:0.776463:0.096138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.750200:0.554183:0.907406:0.554183:0.907406:0.537282:0.750200:0.537282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática:@0.755005:0.583591:0.840576:0.583591:0.840576:0.568227:0.755005:0.568227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y Estudios Sociales:@0.755005:0.598679:0.890346:0.598679:0.890346:0.583315:0.755005:0.583315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las medidas de dispersión :@0.755005:0.617325:0.930501:0.617325:0.930501:0.602426:0.755005:0.602426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son utilizadas en ciencias :@0.755005:0.632412:0.925611:0.632412:0.925611:0.617513:0.755005:0.617513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sociales para describir los :@0.755005:0.647500:0.926665:0.647500:0.926665:0.632601:0.755005:0.632601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
datos de una población, :@0.755005:0.662588:0.919697:0.662588:0.919697:0.647689:0.755005:0.647689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para comparar muestras :@0.755005:0.677675:0.920820:0.677675:0.920820:0.662776:0.755005:0.662776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y establecer conclusiones.:@0.755005:0.692763:0.928355:0.692763:0.928355:0.677864:0.755005:0.677864:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.933666:0.818685:0.933666:0.813578:0.921584:0.813578:0.921584:0.818685:0.000000
Shutterstock:@0.933666:0.813578:0.933666:0.775860:0.921755:0.775860:0.921755:0.813578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga un ejemplo en el :@0.753462:0.840462:0.908790:0.840462:0.908790:0.826468:0.753462:0.826468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que se utilicen las :@0.753462:0.855549:0.866338:0.855549:0.866338:0.841556:0.753462:0.841556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medidas de dispersión en :@0.753462:0.870637:0.915943:0.870637:0.915943:0.856643:0.753462:0.856643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las ciencias sociales.:@0.753462:0.885725:0.880173:0.885725:0.880173:0.871731:0.753462:0.871731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000