﻿235:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento aleatorio:@0.725364:0.043660:0.926913:0.043660:0.926913:0.024915:0.725364:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El conjunto::@0.073089:0.136836:0.158741:0.136836:0.158741:0.120402:0.073089:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La mediana del conjunto {8,0; 8,1; 8,2; 8,2; 8,3} es   = 8,2. Entonces::@0.073089:0.191435:0.558401:0.191435:0.558401:0.175001:0.073089:0.175001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.424032:0.191435:0.435905:0.191435:0.435905:0.175029:0.424032:0.175029:0.000000
3:@0.435839:0.194910:0.441314:0.194910:0.441314:0.184894:0.435839:0.184894:0.000000
 :@0.578917:0.253139:0.582949:0.253139:0.582949:0.236705:0.578917:0.236705:0.000000
De la definición del rango intercuatil, se tiene: :@0.073089:0.287649:0.406730:0.287649:0.406730:0.271215:0.073089:0.271215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
RIC:@0.406334:0.287649:0.428864:0.287649:0.428864:0.271243:0.406334:0.271243:0.000000:0.000000:0.000000
 =   –   = 8,2 – 7,5 = 0,7. :@0.428809:0.287649:0.622889:0.287649:0.622889:0.271215:0.428809:0.271215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.447603:0.287649:0.459476:0.287649:0.459476:0.271243:0.447603:0.271243:0.000000
3:@0.459404:0.290520:0.464403:0.290520:0.464403:0.281375:0.459404:0.281375:0.000000
Q:@0.481384:0.287649:0.493257:0.287649:0.493257:0.271243:0.481384:0.271243:0.000000
1:@0.493188:0.290520:0.498187:0.290520:0.498187:0.281375:0.493188:0.281375:0.000000
Con datos agrupados, se obtienen los resultados que se muestran en la tabla::@0.073083:0.345951:0.632185:0.345951:0.632185:0.329517:0.073083:0.329517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Valores:@0.159444:0.381491:0.212524:0.381491:0.212524:0.366085:0.159444:0.366085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7,5:@0.356166:0.381491:0.375410:0.381491:0.375410:0.366552:0.356166:0.366552:0.000000:0.000000:0.000000
7,9:@0.403602:0.381491:0.422846:0.381491:0.422846:0.366552:0.403602:0.366552:0.000000:0.000000:0.000000
8,0:@0.451035:0.381491:0.470279:0.381491:0.470279:0.366552:0.451035:0.366552:0.000000:0.000000:0.000000
8,1:@0.498471:0.381491:0.517715:0.381491:0.517715:0.366552:0.498471:0.366552:0.000000:0.000000:0.000000
8,2:@0.545905:0.381491:0.565149:0.381491:0.565149:0.366552:0.545905:0.366552:0.000000:0.000000:0.000000
8,3:@0.593340:0.381491:0.612584:0.381491:0.612584:0.366552:0.593340:0.366552:0.000000:0.000000:0.000000
Frecuencia :@0.159444:0.401148:0.235199:0.401148:0.235199:0.386208:0.159444:0.386208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ƒ:@0.235199:0.401047:0.244402:0.401047:0.244402:0.384058:0.235199:0.384058:0.000000
i:@0.244402:0.404334:0.246543:0.404334:0.246543:0.395189:0.244402:0.395189:0.000000
3:@0.361705:0.400912:0.369871:0.400912:0.369871:0.385972:0.361705:0.385972:0.000000
1:@0.409146:0.400912:0.417312:0.400912:0.417312:0.385972:0.409146:0.385972:0.000000
2:@0.456586:0.400912:0.464752:0.400912:0.464752:0.385972:0.456586:0.385972:0.000000
1:@0.504027:0.400912:0.512193:0.400912:0.512193:0.385972:0.504027:0.385972:0.000000
2:@0.551467:0.400912:0.559633:0.400912:0.559633:0.385972:0.551467:0.385972:0.000000
1:@0.598908:0.400912:0.607074:0.400912:0.607074:0.385972:0.598908:0.385972:0.000000
Frecuencia acumulada :@0.159476:0.419495:0.303237:0.419495:0.303237:0.404555:0.159476:0.404555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.302701:0.419963:0.311111:0.419963:0.311111:0.402811:0.302701:0.402811:0.000000
i:@0.310533:0.422675:0.312674:0.422675:0.312674:0.413530:0.310533:0.413530:0.000000
3:@0.361705:0.418780:0.369871:0.418780:0.369871:0.403841:0.361705:0.403841:0.000000
4:@0.409146:0.418780:0.417312:0.418780:0.417312:0.403841:0.409146:0.403841:0.000000
6:@0.456586:0.418780:0.464752:0.418780:0.464752:0.403841:0.456586:0.403841:0.000000
7:@0.504027:0.418780:0.512193:0.418780:0.512193:0.403841:0.504027:0.403841:0.000000
9:@0.551467:0.418780:0.559633:0.418780:0.559633:0.403841:0.551467:0.403841:0.000000
10:@0.594825:0.418780:0.611157:0.418780:0.611157:0.403841:0.594825:0.403841:0.000000:0.000000
4:@0.364192:0.474249:0.372853:0.474249:0.372853:0.457366:0.364192:0.457366:0.000000
,:@0.423167:0.479547:0.425975:0.479547:0.425975:0.462663:0.423167:0.462663:0.000000
1,2,3.:@0.456516:0.479547:0.494384:0.479547:0.494384:0.462663:0.456516:0.462663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.353345:0.536576:0.362006:0.536576:0.362006:0.519692:0.353345:0.519692:0.000000
7,5:@0.417825:0.541874:0.440313:0.541874:0.440313:0.524990:0.417825:0.524990:0.000000:0.000000:0.000000
2,5–3:@0.455770:0.532758:0.501238:0.532758:0.501238:0.515875:0.455770:0.515875:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.474173:0.553578:0.482835:0.553578:0.482835:0.536694:0.474173:0.536694:0.000000
07,5.:@0.514908:0.541874:0.565895:0.541874:0.565895:0.524990:0.514908:0.524990:0.000000:0.000000:0.000000:0.000000:0.000000
2 ,:@0.356212:0.576588:0.377001:0.575182:0.377001:0.558298:0.356212:0.559704:0.000000:0.000000:0.000000
4:@0.367015:0.596964:0.375676:0.596964:0.375676:0.580080:0.367015:0.580080:0.000000
7,5:@0.443534:0.602276:0.466022:0.602276:0.466022:0.585393:0.443534:0.585393:0.000000:0.000000:0.000000
5–4:@0.481067:0.593146:0.512708:0.593146:0.512708:0.576263:0.481067:0.576263:0.000000:0.000000:0.000000
1:@0.493382:0.613981:0.502043:0.613981:0.502043:0.597097:0.493382:0.597097:0.000000
0,58,0.:@0.526790:0.602276:0.592056:0.602276:0.592056:0.585393:0.526790:0.585393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.358058:0.657367:0.375303:0.657367:0.375303:0.640483:0.358058:0.640483:0.000000:0.000000
,:@0.421930:0.662960:0.424738:0.662960:0.424738:0.646076:0.421930:0.646076:0.000000
1,,9,:@0.455279:0.662960:0.502142:0.662960:0.502142:0.646076:0.455279:0.646076:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.299612:0.544144:0.304626:0.544144:0.304626:0.534372:0.299612:0.534372:0.000000
1:@0.329715:0.544144:0.334729:0.544144:0.334729:0.534372:0.329715:0.534372:0.000000
1:@0.383884:0.527349:0.388898:0.527349:0.388898:0.517576:0.383884:0.517576:0.000000
1:@0.373039:0.555861:0.378053:0.555861:0.378053:0.546089:0.373039:0.546089:0.000000
2:@0.300090:0.604552:0.305103:0.604552:0.305103:0.594780:0.300090:0.594780:0.000000
2:@0.331841:0.604552:0.336854:0.604552:0.336854:0.594780:0.331841:0.594780:0.000000
2:@0.408440:0.587731:0.413453:0.587731:0.413453:0.577958:0.408440:0.577958:0.000000
2:@0.387181:0.616252:0.392195:0.616252:0.392195:0.606479:0.387181:0.606479:0.000000
Q:@0.287497:0.479665:0.299615:0.479665:0.299615:0.462811:0.287497:0.462811:0.000000
L:@0.323145:0.479665:0.331138:0.479665:0.331138:0.462811:0.323145:0.462811:0.000000
jn:@0.357476:0.453977:0.382872:0.453977:0.382872:0.437123:0.357476:0.437123:0.000000:0.000000
F:@0.398710:0.462857:0.406409:0.462857:0.406409:0.446003:0.398710:0.446003:0.000000
Lj:@0.413873:0.479667:0.440388:0.479667:0.440388:0.462813:0.413873:0.462813:0.000000:0.000000
Q:@0.287497:0.541992:0.299615:0.541992:0.299615:0.525137:0.287497:0.525137:0.000000
L:@0.322516:0.541992:0.330510:0.541992:0.330510:0.525137:0.322516:0.525137:0.000000
n Lj:@0.352939:0.516303:0.404483:0.518003:0.404483:0.501149:0.352939:0.499449:0.000000:0.000000:0.000000:0.000000
F:@0.378334:0.525196:0.386034:0.525196:0.386034:0.508342:0.378334:0.508342:0.000000
L:@0.392829:0.542006:0.400823:0.542006:0.400823:0.525152:0.392829:0.525152:0.000000
Q:@0.287497:0.602394:0.299615:0.602394:0.299615:0.585540:0.287497:0.585540:0.000000
L:@0.324166:0.602394:0.332160:0.602394:0.332160:0.585540:0.324166:0.585540:0.000000
n:@0.376999:0.576706:0.386544:0.576706:0.386544:0.559852:0.376999:0.559852:0.000000
F:@0.402394:0.585599:0.410093:0.585599:0.410093:0.568745:0.402394:0.568745:0.000000
L:@0.418578:0.602394:0.426572:0.602394:0.426572:0.585540:0.418578:0.585540:0.000000
D:@0.287497:0.663078:0.299360:0.663078:0.299360:0.646224:0.287497:0.646224:0.000000
L:@0.321927:0.663078:0.329921:0.663078:0.329921:0.646224:0.321927:0.646224:0.000000
jn:@0.356219:0.637109:0.381615:0.637109:0.381615:0.620255:0.356219:0.620255:0.000000:0.000000
F:@0.397484:0.646002:0.405183:0.646002:0.405183:0.629148:0.397484:0.629148:0.000000
Lj:@0.412647:0.663093:0.439161:0.663093:0.439161:0.646239:0.412647:0.646239:0.000000:0.000000
j:@0.301895:0.481887:0.304168:0.481887:0.304168:0.472131:0.301895:0.472131:0.000000
j:@0.332634:0.481887:0.334908:0.481887:0.334908:0.472131:0.332634:0.472131:0.000000
j:@0.406573:0.465091:0.408846:0.465091:0.408846:0.455335:0.406573:0.455335:0.000000
j:@0.386190:0.493603:0.388463:0.493603:0.388463:0.483848:0.386190:0.483848:0.000000
j:@0.300680:0.665296:0.302954:0.665296:0.302954:0.655541:0.300680:0.655541:0.000000
j:@0.331419:0.665296:0.333693:0.665296:0.333693:0.655541:0.331419:0.655541:0.000000
j:@0.405324:0.648209:0.407598:0.648209:0.407598:0.638454:0.405324:0.638454:0.000000
j:@0.384952:0.677004:0.387226:0.677004:0.387226:0.667249:0.384952:0.667249:0.000000
=+:@0.309433:0.480109:0.349363:0.480109:0.349363:0.460828:0.309433:0.460828:0.000000:0.000000
−:@0.386169:0.463299:0.396952:0.463299:0.396952:0.444019:0.386169:0.444019:0.000000
ƒ:@0.373835:0.491814:0.383655:0.491814:0.383655:0.472533:0.373835:0.472533:0.000000
=:@0.443598:0.480109:0.454381:0.480109:0.454381:0.460828:0.443598:0.460828:0.000000
=+:@0.308779:0.542435:0.348060:0.542435:0.348060:0.523154:0.308779:0.523154:0.000000:0.000000
−:@0.365796:0.525626:0.376578:0.525626:0.376578:0.506345:0.365796:0.506345:0.000000
ƒ:@0.363026:0.554140:0.372847:0.554140:0.372847:0.534859:0.363026:0.534859:0.000000
=:@0.404114:0.542435:0.414897:0.542435:0.414897:0.523154:0.404114:0.523154:0.000000
+:@0.441687:0.542435:0.452469:0.542435:0.452469:0.523154:0.441687:0.523154:0.000000
=:@0.526966:0.542435:0.537749:0.542435:0.537749:0.523154:0.526966:0.523154:0.000000
=+:@0.310449:0.602823:0.351380:0.602823:0.351380:0.583543:0.310449:0.583543:0.000000:0.000000
−:@0.389855:0.586028:0.400638:0.586028:0.400638:0.566747:0.389855:0.566747:0.000000
ƒ:@0.376677:0.614543:0.386497:0.614543:0.386497:0.595262:0.376677:0.595262:0.000000
=:@0.429844:0.602838:0.440626:0.602838:0.440626:0.583557:0.429844:0.583557:0.000000
+:@0.467416:0.602838:0.478199:0.602838:0.478199:0.583557:0.467416:0.583557:0.000000
=:@0.552283:0.602838:0.563065:0.602838:0.563065:0.583557:0.552283:0.583557:0.000000
=+:@0.308210:0.663522:0.348139:0.663522:0.348139:0.644241:0.308210:0.644241:0.000000:0.000000
−:@0.384965:0.646431:0.395747:0.646431:0.395747:0.627150:0.384965:0.627150:0.000000
ƒ:@0.372631:0.675227:0.382451:0.675227:0.382451:0.655946:0.372631:0.655946:0.000000
= ⋅⋅⋅:@0.442394:0.663522:0.483953:0.663522:0.483953:0.644241:0.442394:0.644241:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.363338:0.453284:0.371308:0.453284:0.371308:0.439033:0.363338:0.439033:0.000000
×:@0.504501:0.541307:0.512471:0.541307:0.512471:0.527056:0.504501:0.527056:0.000000
×:@0.366997:0.576022:0.374966:0.576022:0.374966:0.561770:0.366997:0.561770:0.000000
×:@0.516391:0.601713:0.524360:0.601713:0.524360:0.587462:0.516391:0.587462:0.000000
×:@0.362075:0.636406:0.370045:0.636406:0.370045:0.622155:0.362075:0.622155:0.000000
Así, para el cuartil :@0.073089:0.527017:0.203085:0.527017:0.203085:0.510583:0.073089:0.510583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.202879:0.527017:0.214752:0.527017:0.214752:0.510611:0.202879:0.510611:0.000000
1 :@0.214685:0.529887:0.221886:0.529887:0.221886:0.520741:0.214685:0.520741:0.000000:0.000000
, se tiene:   = 7,5,   = 3,   = 3,   = 1,  L = 7,5 – 7,5 = 0. Luego:@0.221838:0.527017:0.657444:0.527017:0.657444:0.510583:0.221838:0.510583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.292412:0.527017:0.300032:0.527017:0.300032:0.510611:0.292412:0.510611:0.000000
1:@0.299974:0.529887:0.304973:0.529887:0.304973:0.520741:0.299974:0.520741:0.000000
F:@0.351718:0.527017:0.359762:0.527017:0.359762:0.510611:0.351718:0.510611:0.000000
1:@0.359695:0.529887:0.364694:0.529887:0.364694:0.520741:0.359695:0.520741:0.000000
ƒ:@0.399422:0.526601:0.408625:0.526601:0.408625:0.509612:0.399422:0.509612:0.000000
1:@0.408528:0.529887:0.413527:0.529887:0.413527:0.520741:0.408528:0.520741:0.000000
j:@0.448253:0.527017:0.451879:0.527017:0.451879:0.510611:0.448253:0.510611:0.000000
4:@0.328276:0.512572:0.336937:0.512572:0.336937:0.495688:0.328276:0.495688:0.000000
,:@0.387256:0.517870:0.390065:0.517870:0.390065:0.500986:0.387256:0.500986:0.000000
1,2,3.:@0.420606:0.517870:0.458473:0.517870:0.458473:0.500986:0.420606:0.500986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.317429:0.574898:0.326090:0.574898:0.326090:0.558015:0.317429:0.558015:0.000000
7,5:@0.381909:0.580196:0.404397:0.580196:0.404397:0.563312:0.381909:0.563312:0.000000:0.000000:0.000000
2,5–3:@0.419854:0.571081:0.465322:0.571081:0.465322:0.554197:0.419854:0.554197:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.438257:0.591900:0.446919:0.591900:0.446919:0.575017:0.438257:0.575017:0.000000
07,5.:@0.478996:0.580196:0.529983:0.580196:0.529983:0.563312:0.478996:0.563312:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.320300:0.614911:0.328962:0.614911:0.328962:0.598027:0.320300:0.598027:0.000000
4:@0.331103:0.635287:0.339764:0.635287:0.339764:0.618403:0.331103:0.618403:0.000000
7,5:@0.407622:0.640599:0.430111:0.640599:0.430111:0.623715:0.407622:0.623715:0.000000:0.000000:0.000000
5–4:@0.445155:0.631469:0.476796:0.631469:0.476796:0.614585:0.445155:0.614585:0.000000:0.000000:0.000000
1:@0.457470:0.652304:0.466132:0.652304:0.466132:0.635420:0.457470:0.635420:0.000000
0,58,0.:@0.490879:0.640599:0.556144:0.640599:0.556144:0.623715:0.490879:0.623715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.322147:0.695689:0.339391:0.695689:0.339391:0.678806:0.322147:0.678806:0.000000:0.000000
,:@0.386018:0.701283:0.388826:0.701283:0.388826:0.684399:0.386018:0.684399:0.000000
1,,9,:@0.419367:0.701283:0.466230:0.701283:0.466230:0.684399:0.419367:0.684399:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.263696:0.582467:0.268710:0.582467:0.268710:0.572695:0.263696:0.572695:0.000000
1:@0.293799:0.582467:0.298813:0.582467:0.298813:0.572695:0.293799:0.572695:0.000000
1:@0.347969:0.565671:0.352982:0.565671:0.352982:0.555899:0.347969:0.555899:0.000000
1:@0.337123:0.594184:0.342137:0.594184:0.342137:0.584411:0.337123:0.584411:0.000000
2:@0.264177:0.642872:0.269190:0.642872:0.269190:0.633099:0.264177:0.633099:0.000000
2:@0.295928:0.642872:0.300941:0.642872:0.300941:0.633099:0.295928:0.633099:0.000000
2:@0.372527:0.626051:0.377540:0.626051:0.377540:0.616278:0.372527:0.616278:0.000000
2:@0.351268:0.654572:0.356281:0.654572:0.356281:0.644799:0.351268:0.644799:0.000000
Q:@0.251581:0.517988:0.263699:0.517988:0.263699:0.501134:0.251581:0.501134:0.000000
L:@0.287229:0.517988:0.295222:0.517988:0.295222:0.501134:0.287229:0.501134:0.000000
jn:@0.321560:0.492300:0.346956:0.492300:0.346956:0.475446:0.321560:0.475446:0.000000:0.000000
F:@0.362805:0.501193:0.370505:0.501193:0.370505:0.484339:0.362805:0.484339:0.000000
Q:@0.251601:0.580330:0.263719:0.580330:0.263719:0.563475:0.251601:0.563475:0.000000
L:@0.286620:0.580330:0.294614:0.580330:0.294614:0.563475:0.286620:0.563475:0.000000
n:@0.317043:0.554641:0.326588:0.554641:0.326588:0.537787:0.317043:0.537787:0.000000
F:@0.342419:0.563506:0.350118:0.563506:0.350118:0.546652:0.342419:0.546652:0.000000
L:@0.356914:0.580316:0.364908:0.580316:0.364908:0.563462:0.356914:0.563462:0.000000
Q:@0.251581:0.640709:0.263699:0.640709:0.263699:0.623855:0.251581:0.623855:0.000000
L:@0.288250:0.640709:0.296244:0.640709:0.296244:0.623855:0.288250:0.623855:0.000000
n:@0.341083:0.615021:0.350628:0.615021:0.350628:0.598167:0.341083:0.598167:0.000000
F:@0.366478:0.623914:0.374177:0.623914:0.374177:0.607060:0.366478:0.607060:0.000000
L:@0.382662:0.640709:0.390656:0.640709:0.390656:0.623855:0.382662:0.623855:0.000000
D:@0.251581:0.701393:0.263444:0.701393:0.263444:0.684539:0.251581:0.684539:0.000000
L:@0.286011:0.701393:0.294005:0.701393:0.294005:0.684539:0.286011:0.684539:0.000000
jn:@0.320303:0.675424:0.345699:0.675424:0.345699:0.658570:0.320303:0.658570:0.000000:0.000000
F jn:@0.361568:0.684317:0.379409:0.682272:0.379409:0.665417:0.361568:0.667463:0.000000:0.000000:0.000000:0.000000
Lj:@0.376731:0.701408:0.403245:0.701408:0.403245:0.684554:0.376731:0.684554:0.000000:0.000000
j:@0.265979:0.520209:0.268253:0.520209:0.268253:0.510454:0.265979:0.510454:0.000000
j:@0.296718:0.520209:0.298992:0.520209:0.298992:0.510454:0.296718:0.510454:0.000000
j:@0.370657:0.503414:0.372930:0.503414:0.372930:0.493658:0.370657:0.493658:0.000000
j:@0.350274:0.531926:0.352547:0.531926:0.352547:0.522171:0.350274:0.522171:0.000000
j:@0.264774:0.703626:0.267048:0.703626:0.267048:0.693871:0.264774:0.693871:0.000000
j:@0.295513:0.703626:0.297787:0.703626:0.297787:0.693871:0.295513:0.693871:0.000000
j:@0.369418:0.686539:0.371691:0.686539:0.371691:0.676784:0.369418:0.676784:0.000000
j:@0.349046:0.715334:0.351320:0.715334:0.351320:0.705579:0.349046:0.705579:0.000000
=+:@0.273518:0.518432:0.313447:0.518432:0.313447:0.499151:0.273518:0.499151:0.000000:0.000000
−:@0.350253:0.501622:0.361036:0.501622:0.361036:0.482341:0.350253:0.482341:0.000000
ƒ:@0.337919:0.530137:0.347739:0.530137:0.347739:0.510856:0.337919:0.510856:0.000000
=:@0.407682:0.518432:0.418465:0.518432:0.418465:0.499151:0.407682:0.499151:0.000000
=+:@0.272863:0.580758:0.312144:0.580758:0.312144:0.561477:0.272863:0.561477:0.000000:0.000000
−:@0.329880:0.563949:0.340662:0.563949:0.340662:0.544668:0.329880:0.544668:0.000000
ƒ:@0.327110:0.592463:0.336931:0.592463:0.336931:0.573182:0.327110:0.573182:0.000000
=:@0.368198:0.580758:0.378981:0.580758:0.378981:0.561477:0.368198:0.561477:0.000000
+:@0.405771:0.580758:0.416553:0.580758:0.416553:0.561477:0.405771:0.561477:0.000000
=:@0.491050:0.580758:0.501833:0.580758:0.501833:0.561477:0.491050:0.561477:0.000000
=+:@0.274532:0.641153:0.315463:0.641153:0.315463:0.621872:0.274532:0.621872:0.000000:0.000000
−:@0.353938:0.624358:0.364721:0.624358:0.364721:0.605077:0.353938:0.605077:0.000000
ƒ:@0.340760:0.652873:0.350580:0.652873:0.350580:0.633592:0.340760:0.633592:0.000000
=:@0.393926:0.641168:0.404709:0.641168:0.404709:0.621887:0.393926:0.621887:0.000000
+:@0.431499:0.641168:0.442281:0.641168:0.442281:0.621887:0.431499:0.621887:0.000000
=:@0.516366:0.641168:0.527148:0.641168:0.527148:0.621887:0.516366:0.621887:0.000000
=+:@0.272293:0.701852:0.312222:0.701852:0.312222:0.682571:0.272293:0.682571:0.000000:0.000000
−:@0.349048:0.684761:0.359831:0.684761:0.359831:0.665480:0.349048:0.665480:0.000000
ƒ:@0.336714:0.713557:0.346534:0.713557:0.346534:0.694276:0.336714:0.694276:0.000000
= ⋅⋅⋅:@0.406477:0.701852:0.448036:0.701852:0.448036:0.682571:0.406477:0.682571:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.327422:0.491606:0.335392:0.491606:0.335392:0.477355:0.327422:0.477355:0.000000
×:@0.468589:0.579627:0.476559:0.579627:0.476559:0.565376:0.468589:0.565376:0.000000
×:@0.331092:0.614338:0.339062:0.614338:0.339062:0.600087:0.331092:0.600087:0.000000
×:@0.480486:0.640030:0.488456:0.640030:0.488456:0.625778:0.480486:0.625778:0.000000
×:@0.326171:0.674722:0.334141:0.674722:0.334141:0.660471:0.326171:0.660471:0.000000
Para el cálculo del cuartil :@0.073089:0.628203:0.255582:0.628203:0.255582:0.611769:0.073089:0.611769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.255328:0.628203:0.267201:0.628203:0.267201:0.611797:0.255328:0.611797:0.000000
2  :@0.267134:0.631073:0.276537:0.631073:0.276537:0.621927:0.267134:0.621927:0.000000:0.000000:0.000000
, se tiene:   = 7,5,   = 3,   = 1,   = 2,   = 8,0 – 7,5 = 0,5. :@0.276484:0.628203:0.673517:0.628203:0.673517:0.611769:0.276484:0.611769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.347058:0.628203:0.354678:0.628203:0.354678:0.611797:0.347058:0.611797:0.000000
2:@0.354622:0.631073:0.359621:0.631073:0.359621:0.621927:0.354622:0.621927:0.000000
F:@0.406366:0.628203:0.414410:0.628203:0.414410:0.611797:0.406366:0.611797:0.000000
2:@0.414343:0.631073:0.419342:0.631073:0.419342:0.621927:0.414343:0.621927:0.000000
ƒ:@0.454068:0.627787:0.463271:0.627787:0.463271:0.610798:0.454068:0.610798:0.000000
2:@0.463174:0.631073:0.468173:0.631073:0.468173:0.621927:0.463174:0.621927:0.000000
j:@0.502900:0.628203:0.506527:0.628203:0.506527:0.611797:0.502900:0.611797:0.000000
L:@0.541224:0.628203:0.548845:0.628203:0.548845:0.611797:0.541224:0.611797:0.000000
Entonces,:@0.073091:0.655565:0.143171:0.655565:0.143171:0.639131:0.073091:0.639131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.315212:0.569884:0.323873:0.569884:0.323873:0.553001:0.315212:0.553001:0.000000
1,2,3.:@0.407542:0.575182:0.445409:0.575182:0.445409:0.558298:0.407542:0.558298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.304370:0.632211:0.313032:0.632211:0.313032:0.615327:0.304370:0.615327:0.000000
7,5:@0.368850:0.637508:0.391338:0.637508:0.391338:0.620625:0.368850:0.620625:0.000000:0.000000:0.000000
2,5–3:@0.406795:0.628393:0.452263:0.628393:0.452263:0.611509:0.406795:0.611509:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.425199:0.649213:0.433860:0.649213:0.433860:0.632329:0.425199:0.632329:0.000000
07,5.:@0.465933:0.637508:0.516920:0.637508:0.516920:0.620625:0.465933:0.620625:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.307238:0.672223:0.315899:0.672223:0.315899:0.655339:0.307238:0.655339:0.000000
4:@0.318040:0.692596:0.326701:0.692596:0.326701:0.675713:0.318040:0.675713:0.000000
7,5:@0.394559:0.697909:0.417048:0.697909:0.417048:0.681025:0.394559:0.681025:0.000000:0.000000:0.000000
5–4:@0.432092:0.688779:0.463733:0.688779:0.463733:0.671895:0.432092:0.671895:0.000000:0.000000:0.000000
11,2,3.:@0.444411:0.709617:0.490927:0.707841:0.490927:0.690957:0.444411:0.692733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,58,0.:@0.477820:0.697904:0.543082:0.697904:0.543082:0.681020:0.477820:0.681020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.309085:0.752995:0.326329:0.752995:0.326329:0.736111:0.309085:0.736111:0.000000:0.000000
,:@0.372956:0.758588:0.375764:0.758588:0.375764:0.741704:0.372956:0.741704:0.000000
1,,9, 2,5–3:@0.406305:0.758588:0.497781:0.761053:0.497781:0.744169:0.406305:0.741704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.250632:0.639779:0.255646:0.639779:0.255646:0.630007:0.250632:0.630007:0.000000
1:@0.280735:0.639779:0.285749:0.639779:0.285749:0.630007:0.280735:0.630007:0.000000
1:@0.334904:0.622984:0.339918:0.622984:0.339918:0.613211:0.334904:0.613211:0.000000
1:@0.324059:0.651496:0.329073:0.651496:0.329073:0.641724:0.324059:0.641724:0.000000
2:@0.251113:0.700185:0.256126:0.700185:0.256126:0.690413:0.251113:0.690413:0.000000
2:@0.282864:0.700185:0.287877:0.700185:0.287877:0.690413:0.282864:0.690413:0.000000
2:@0.359462:0.683364:0.364476:0.683364:0.364476:0.673591:0.359462:0.673591:0.000000
2:@0.338201:0.711886:0.343214:0.711886:0.343214:0.702114:0.338201:0.702114:0.000000
Q:@0.238517:0.575300:0.250635:0.575300:0.250635:0.558446:0.238517:0.558446:0.000000
L:@0.274165:0.575300:0.282158:0.575300:0.282158:0.558446:0.274165:0.558446:0.000000
jn:@0.308496:0.549612:0.333892:0.549612:0.333892:0.532758:0.308496:0.532758:0.000000:0.000000
F:@0.349741:0.558505:0.357440:0.558505:0.357440:0.541651:0.349741:0.541651:0.000000
Lj:@0.364904:0.575315:0.391419:0.575315:0.391419:0.558461:0.364904:0.558461:0.000000:0.000000
Q:@0.238537:0.637642:0.250655:0.637642:0.250655:0.620788:0.238537:0.620788:0.000000
L:@0.273556:0.637642:0.281549:0.637642:0.281549:0.620788:0.273556:0.620788:0.000000
n:@0.303979:0.611954:0.313524:0.611954:0.313524:0.595099:0.303979:0.595099:0.000000
F:@0.329374:0.620847:0.337073:0.620847:0.337073:0.603993:0.329374:0.603993:0.000000
L:@0.343869:0.637656:0.351863:0.637656:0.351863:0.620802:0.343869:0.620802:0.000000
Q:@0.238537:0.698045:0.250655:0.698045:0.250655:0.681190:0.238537:0.681190:0.000000
L:@0.275206:0.698045:0.283199:0.698045:0.283199:0.681190:0.275206:0.681190:0.000000
n:@0.328039:0.672356:0.337584:0.672356:0.337584:0.655502:0.328039:0.655502:0.000000
F:@0.353412:0.681226:0.361111:0.681226:0.361111:0.664372:0.353412:0.664372:0.000000
L:@0.369596:0.698021:0.377589:0.698021:0.377589:0.681167:0.369596:0.681167:0.000000
D:@0.238517:0.758701:0.250380:0.758701:0.250380:0.741847:0.238517:0.741847:0.000000
L:@0.272947:0.758701:0.280941:0.758701:0.280941:0.741847:0.272947:0.741847:0.000000
jn:@0.307239:0.732732:0.332634:0.732732:0.332634:0.715877:0.307239:0.715877:0.000000:0.000000
F:@0.348504:0.741625:0.356203:0.741625:0.356203:0.724771:0.348504:0.724771:0.000000
Lj:@0.363667:0.758716:0.390181:0.758716:0.390181:0.741862:0.363667:0.741862:0.000000:0.000000
j:@0.252915:0.577522:0.255188:0.577522:0.255188:0.567766:0.252915:0.567766:0.000000
j:@0.283654:0.577522:0.285928:0.577522:0.285928:0.567766:0.283654:0.567766:0.000000
j:@0.357593:0.560726:0.359866:0.560726:0.359866:0.550971:0.357593:0.550971:0.000000
j:@0.337210:0.589238:0.339483:0.589238:0.339483:0.579483:0.337210:0.579483:0.000000
j:@0.251710:0.760938:0.253983:0.760938:0.253983:0.751183:0.251710:0.751183:0.000000
j:@0.282449:0.760938:0.284723:0.760938:0.284723:0.751183:0.282449:0.751183:0.000000
j:@0.356354:0.743852:0.358627:0.743852:0.358627:0.734096:0.356354:0.734096:0.000000
j:@0.335982:0.772647:0.338256:0.772647:0.338256:0.762891:0.335982:0.762891:0.000000
=+:@0.260453:0.575744:0.300383:0.575744:0.300383:0.556463:0.260453:0.556463:0.000000:0.000000
−:@0.337189:0.558935:0.347972:0.558935:0.347972:0.539654:0.337189:0.539654:0.000000
ƒ:@0.324855:0.587449:0.334675:0.587449:0.334675:0.568168:0.324855:0.568168:0.000000
=:@0.394618:0.575744:0.405401:0.575744:0.405401:0.556463:0.394618:0.556463:0.000000
=+:@0.259786:0.638071:0.299067:0.638071:0.299067:0.618790:0.259786:0.618790:0.000000:0.000000
−:@0.316802:0.621261:0.327585:0.621261:0.327585:0.601980:0.316802:0.601980:0.000000
ƒ:@0.314033:0.649776:0.323853:0.649776:0.323853:0.630495:0.314033:0.630495:0.000000
=:@0.355121:0.638071:0.365904:0.638071:0.365904:0.618790:0.355121:0.618790:0.000000
+:@0.392693:0.638071:0.403476:0.638071:0.403476:0.618790:0.392693:0.618790:0.000000
=:@0.477972:0.638071:0.488755:0.638071:0.488755:0.618790:0.477972:0.618790:0.000000
=+:@0.261468:0.698466:0.302398:0.698466:0.302398:0.679186:0.261468:0.679186:0.000000:0.000000
−:@0.340874:0.681671:0.351657:0.681671:0.351657:0.662391:0.340874:0.662391:0.000000
ƒ:@0.327700:0.710179:0.337520:0.710179:0.337520:0.690898:0.327700:0.690898:0.000000
=:@0.380859:0.698466:0.391641:0.698466:0.391641:0.679186:0.380859:0.679186:0.000000
+:@0.418431:0.698466:0.429214:0.698466:0.429214:0.679186:0.418431:0.679186:0.000000
=:@0.503298:0.698466:0.514080:0.698466:0.514080:0.679186:0.503298:0.679186:0.000000
=+:@0.259212:0.759145:0.299141:0.759145:0.299141:0.739864:0.259212:0.739864:0.000000:0.000000
−:@0.335967:0.742054:0.346750:0.742054:0.346750:0.722773:0.335967:0.722773:0.000000
ƒ:@0.323633:0.770850:0.333453:0.770850:0.333453:0.751569:0.323633:0.751569:0.000000
= ⋅⋅⋅:@0.393396:0.759145:0.434955:0.759145:0.434955:0.739864:0.393396:0.739864:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.314358:0.548919:0.322328:0.548919:0.322328:0.534668:0.314358:0.534668:0.000000
×:@0.455521:0.636942:0.463491:0.636942:0.463491:0.622691:0.455521:0.622691:0.000000
×:@0.318017:0.671657:0.325986:0.671657:0.325986:0.657406:0.318017:0.657406:0.000000
×:@0.467426:0.697346:0.475396:0.697346:0.475396:0.683094:0.467426:0.683094:0.000000
×:@0.313117:0.732037:0.321086:0.732037:0.321086:0.717786:0.313117:0.717786:0.000000
Se propone como ejercicio el cálculo del cuartil  .:@0.073089:0.740565:0.440140:0.740565:0.440140:0.724132:0.073089:0.724132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.420178:0.740565:0.432051:0.740565:0.432051:0.724159:0.420178:0.724159:0.000000
3:@0.431984:0.743437:0.436983:0.743437:0.436983:0.734291:0.431984:0.734291:0.000000
3.3 Deciles:@0.073081:0.772518:0.157184:0.772518:0.157184:0.755571:0.073081:0.755571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.073089:0.797214:0.158282:0.797214:0.158282:0.779497:0.073089:0.779497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.158282:0.797214:0.161630:0.797214:0.161630:0.780034:0.158282:0.780034:0.000000
 Los deciles son números reales que dividen al conjunto A en diez partes :@0.161630:0.797214:0.710545:0.797214:0.710545:0.780034:0.161630:0.780034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
porcentualmente iguales. Estos valores se denotan con D , . . ., D . :@0.073089:0.814613:0.570123:0.814613:0.570123:0.797432:0.073089:0.797432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.510439:0.817326:0.515438:0.817326:0.515438:0.808181:0.510439:0.808181:0.000000
9:@0.557560:0.817326:0.562559:0.817326:0.562559:0.808181:0.557560:0.808181:0.000000
Para datos agrupados, los deciles  ,  , ,   se calculan con la siguiente fórmula::@0.073089:0.841818:0.660030:0.841818:0.660030:0.825385:0.073089:0.825385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D D . . . D:@0.314813:0.841818:0.389346:0.841818:0.389346:0.825412:0.314813:0.825412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.326268:0.844690:0.331267:0.844690:0.331267:0.835544:0.326268:0.835544:0.000000
2:@0.349750:0.844690:0.354749:0.844690:0.354749:0.835544:0.349750:0.835544:0.000000
9:@0.389277:0.844690:0.394276:0.844690:0.394276:0.835544:0.389277:0.835544:0.000000
4:@0.360729:0.702544:0.369391:0.702544:0.369391:0.685660:0.360729:0.685660:0.000000
,:@0.419710:0.707841:0.422519:0.707841:0.422519:0.690957:0.419710:0.690957:0.000000
4:@0.349888:0.764870:0.358549:0.764870:0.358549:0.747987:0.349888:0.747987:0.000000
7,5:@0.414368:0.770168:0.436856:0.770168:0.436856:0.753284:0.414368:0.753284:0.000000:0.000000:0.000000
3:@0.470716:0.781872:0.479378:0.781872:0.479378:0.764989:0.470716:0.764989:0.000000
07,5.:@0.511451:0.770168:0.562438:0.770168:0.562438:0.753284:0.511451:0.753284:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.352755:0.804882:0.361417:0.804882:0.361417:0.787999:0.352755:0.787999:0.000000
4:@0.363558:0.825258:0.372219:0.825258:0.372219:0.808375:0.363558:0.808375:0.000000
7,5:@0.440077:0.830571:0.462566:0.830571:0.462566:0.813687:0.440077:0.813687:0.000000:0.000000:0.000000
5–4:@0.477610:0.821441:0.509251:0.821441:0.509251:0.804557:0.477610:0.804557:0.000000:0.000000:0.000000
1:@0.489925:0.842275:0.498586:0.842275:0.498586:0.825391:0.489925:0.825391:0.000000
0,58,0.:@0.523333:0.830571:0.588599:0.830571:0.588599:0.813687:0.523333:0.813687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.354591:0.885652:0.371836:0.885652:0.371836:0.868768:0.354591:0.868768:0.000000:0.000000
,:@0.418462:0.891245:0.421271:0.891245:0.421271:0.874361:0.418462:0.874361:0.000000
1,,9,:@0.451812:0.891245:0.498683:0.891242:0.498683:0.874358:0.451812:0.874361:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.296150:0.772439:0.301163:0.772439:0.301163:0.762666:0.296150:0.762666:0.000000
1:@0.326253:0.772439:0.331266:0.772439:0.331266:0.762666:0.326253:0.762666:0.000000
1:@0.380422:0.755643:0.385436:0.755643:0.385436:0.745870:0.380422:0.745870:0.000000
1:@0.369577:0.784156:0.374590:0.784156:0.374590:0.774383:0.369577:0.774383:0.000000
2:@0.296628:0.832847:0.301641:0.832847:0.301641:0.823074:0.296628:0.823074:0.000000
2:@0.328379:0.832847:0.333392:0.832847:0.333392:0.823074:0.328379:0.823074:0.000000
2:@0.404977:0.816025:0.409991:0.816025:0.409991:0.806253:0.404977:0.806253:0.000000
2:@0.383719:0.844546:0.388732:0.844546:0.388732:0.834774:0.383719:0.834774:0.000000
Q:@0.284035:0.707960:0.296153:0.707960:0.296153:0.691106:0.284035:0.691106:0.000000
L:@0.319682:0.707960:0.327676:0.707960:0.327676:0.691106:0.319682:0.691106:0.000000
F:@0.395259:0.691165:0.402958:0.691165:0.402958:0.674311:0.395259:0.674311:0.000000
Lj:@0.410422:0.707975:0.436936:0.707975:0.436936:0.691120:0.410422:0.691120:0.000000:0.000000
Q:@0.284054:0.770301:0.296173:0.770301:0.296173:0.753447:0.284054:0.753447:0.000000
L:@0.319074:0.770301:0.327067:0.770301:0.327067:0.753447:0.319074:0.753447:0.000000
n:@0.349497:0.744613:0.359042:0.744613:0.359042:0.727759:0.349497:0.727759:0.000000
F:@0.374892:0.753506:0.382591:0.753506:0.382591:0.736652:0.374892:0.736652:0.000000
L:@0.389387:0.770316:0.397380:0.770316:0.397380:0.753462:0.389387:0.753462:0.000000
Q:@0.284054:0.830704:0.296173:0.830704:0.296173:0.813850:0.284054:0.813850:0.000000
L:@0.320723:0.830704:0.328717:0.830704:0.328717:0.813850:0.320723:0.813850:0.000000
n:@0.373556:0.805016:0.383102:0.805016:0.383102:0.788162:0.373556:0.788162:0.000000
F:@0.398952:0.813909:0.406651:0.813909:0.406651:0.797055:0.398952:0.797055:0.000000
L:@0.415135:0.830704:0.423129:0.830704:0.423129:0.813850:0.415135:0.813850:0.000000
D:@0.284054:0.891388:0.295917:0.891388:0.295917:0.874534:0.284054:0.874534:0.000000
L:@0.318484:0.891388:0.326478:0.891388:0.326478:0.874534:0.318484:0.874534:0.000000
jn:@0.352777:0.865418:0.378172:0.865418:0.378172:0.848564:0.352777:0.848564:0.000000:0.000000
F:@0.394033:0.874270:0.401732:0.874270:0.401732:0.857416:0.394033:0.857416:0.000000
Lj:@0.409196:0.891361:0.435710:0.891361:0.435710:0.874506:0.409196:0.874506:0.000000:0.000000
j:@0.298431:0.710181:0.300705:0.710181:0.300705:0.700426:0.298431:0.700426:0.000000
j:@0.329170:0.710181:0.331444:0.710181:0.331444:0.700426:0.329170:0.700426:0.000000
j:@0.403109:0.693385:0.405382:0.693385:0.405382:0.683630:0.403109:0.683630:0.000000
j:@0.382726:0.721898:0.384999:0.721898:0.384999:0.712142:0.382726:0.712142:0.000000
j:@0.297218:0.893590:0.299491:0.893590:0.299491:0.883835:0.297218:0.883835:0.000000
j:@0.327957:0.893590:0.330231:0.893590:0.330231:0.883835:0.327957:0.883835:0.000000
j:@0.401862:0.876504:0.404135:0.876504:0.404135:0.866748:0.401862:0.866748:0.000000
j:@0.381489:0.905292:0.383763:0.905292:0.383763:0.895536:0.381489:0.895536:0.000000
=+:@0.305970:0.708404:0.345899:0.708404:0.345899:0.689123:0.305970:0.689123:0.000000:0.000000
−:@0.382705:0.691594:0.393488:0.691594:0.393488:0.672313:0.382705:0.672313:0.000000
ƒ:@0.370371:0.720108:0.380191:0.720108:0.380191:0.700827:0.370371:0.700827:0.000000
=:@0.440134:0.708404:0.450917:0.708404:0.450917:0.689123:0.440134:0.689123:0.000000
=+:@0.305302:0.770730:0.344583:0.770730:0.344583:0.751449:0.305302:0.751449:0.000000:0.000000
−:@0.362318:0.753920:0.373101:0.753920:0.373101:0.734639:0.362318:0.734639:0.000000
ƒ:@0.359549:0.782435:0.369369:0.782435:0.369369:0.763154:0.359549:0.763154:0.000000
=:@0.400637:0.770730:0.411420:0.770730:0.411420:0.751449:0.400637:0.751449:0.000000
+:@0.438209:0.770730:0.448992:0.770730:0.448992:0.751449:0.438209:0.751449:0.000000
=:@0.523489:0.770730:0.534271:0.770730:0.534271:0.751449:0.523489:0.751449:0.000000
=+:@0.306971:0.831118:0.347902:0.831118:0.347902:0.811837:0.306971:0.811837:0.000000:0.000000
−:@0.386378:0.814323:0.397161:0.814323:0.397161:0.795042:0.386378:0.795042:0.000000
ƒ:@0.373199:0.842838:0.383019:0.842838:0.383019:0.823557:0.373199:0.823557:0.000000
=:@0.426366:0.831133:0.437149:0.831133:0.437149:0.811852:0.426366:0.811852:0.000000
+:@0.463938:0.831133:0.474721:0.831133:0.474721:0.811852:0.463938:0.811852:0.000000
=:@0.548805:0.831133:0.559588:0.831133:0.559588:0.811852:0.548805:0.811852:0.000000
=+:@0.304730:0.891804:0.344659:0.891804:0.344659:0.872523:0.304730:0.872523:0.000000:0.000000
−:@0.381485:0.874713:0.392267:0.874713:0.392267:0.855432:0.381485:0.855432:0.000000
ƒ:@0.369151:0.903509:0.378971:0.903509:0.378971:0.884228:0.369151:0.884228:0.000000
= ⋅⋅⋅:@0.438914:0.891804:0.480473:0.891804:0.480473:0.872523:0.438914:0.872523:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.359874:0.681579:0.367844:0.681579:0.367844:0.667327:0.359874:0.667327:0.000000
×:@0.501037:0.769601:0.509007:0.769601:0.509007:0.755350:0.501037:0.755350:0.000000
×:@0.363533:0.804316:0.371502:0.804316:0.371502:0.790065:0.363533:0.790065:0.000000
×:@0.512927:0.830008:0.520897:0.830008:0.520897:0.815756:0.512927:0.815756:0.000000
×:@0.358634:0.864697:0.366604:0.864697:0.366604:0.850446:0.358634:0.850446:0.000000
Para datos agrupados, :@0.749032:0.150501:0.906675:0.150501:0.906675:0.134815:0.749032:0.134815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los cuartiles  ,  , :@0.749032:0.166387:0.881512:0.166387:0.881512:0.150700:0.749032:0.150700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q Q:@0.835040:0.166387:0.869608:0.166387:0.869608:0.150726:0.835040:0.150726:0.000000:0.000000:0.000000
1:@0.846370:0.169414:0.851369:0.169414:0.851369:0.160269:0.846370:0.160269:0.000000
2:@0.869606:0.169414:0.874605:0.169414:0.874605:0.160269:0.869606:0.160269:0.000000
Q:@0.749030:0.182272:0.760363:0.182272:0.760363:0.166612:0.749030:0.166612:0.000000
3:@0.760364:0.185300:0.765363:0.185300:0.765363:0.176154:0.760364:0.176154:0.000000
 se calculan con la :@0.765363:0.182272:0.895807:0.182272:0.895807:0.166585:0.765363:0.166585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguiente fórmula::@0.749040:0.198158:0.874931:0.198158:0.874931:0.182471:0.749040:0.182471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.742203:0.229066:0.753596:0.229066:0.753596:0.213907:0.742203:0.213907:0.000000
L:@0.773784:0.229066:0.781391:0.229066:0.781391:0.213907:0.773784:0.213907:0.000000
kF:@0.801409:0.219100:0.829781:0.219100:0.829781:0.203942:0.801409:0.203942:0.000000:0.000000
Lj ,:@0.835831:0.229066:0.846816:0.229066:0.846816:0.213907:0.835831:0.213907:0.000000:0.000000:0.000000:0.000000
j:@0.754671:0.231056:0.756775:0.231056:0.756775:0.222282:0.754671:0.222282:0.000000
j:@0.782021:0.231056:0.784124:0.231056:0.784124:0.222282:0.782021:0.222282:0.000000
j:@0.829508:0.221082:0.831611:0.221082:0.831611:0.212309:0.829508:0.212309:0.000000
j:@0.821154:0.240792:0.823257:0.240792:0.823257:0.232018:0.821154:0.232018:0.000000
=:@0.761547:0.229692:0.770869:0.229692:0.770869:0.215288:0.761547:0.215288:0.000000
+:@0.788170:0.229692:0.797492:0.229692:0.797492:0.215288:0.788170:0.215288:0.000000
−:@0.811177:0.219727:0.820498:0.219727:0.820498:0.205323:0.811177:0.205323:0.000000
ƒ:@0.810124:0.239427:0.818614:0.239427:0.818614:0.225023:0.810124:0.225023:0.000000
=:@0.861893:0.229692:0.871215:0.229692:0.871215:0.215288:0.861893:0.215288:0.000000
1,2,3.:@0.873201:0.229066:0.907024:0.229066:0.907024:0.213907:0.873201:0.213907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los cuantiles son :@0.742665:0.353575:0.855863:0.353575:0.855863:0.338635:0.742665:0.338635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medidas de posición :@0.742665:0.368704:0.880736:0.368704:0.880736:0.353764:0.742665:0.353764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que dividen los datos de :@0.742665:0.383833:0.904341:0.383833:0.904341:0.368893:0.742665:0.368893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una distribución en un :@0.742665:0.398961:0.892309:0.398961:0.892309:0.384022:0.742665:0.384022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cierto número de partes, :@0.742665:0.414090:0.905231:0.414090:0.905231:0.399151:0.742665:0.399151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de manera que en cada :@0.742665:0.429219:0.899361:0.429219:0.899361:0.414280:0.742665:0.414280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una de ellas hay el mismo :@0.742665:0.444348:0.912289:0.444348:0.912289:0.429408:0.742665:0.429408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número de valores de la :@0.742665:0.459477:0.901454:0.459477:0.901454:0.444537:0.742665:0.444537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
variable. :@0.742665:0.474606:0.799399:0.474606:0.799399:0.459666:0.742665:0.459666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Diagrama de cajas:@0.786618:0.487981:0.849626:0.487981:0.849626:0.480311:0.786618:0.480311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dato 1:@0.887461:0.522618:0.907013:0.522618:0.907013:0.516132:0.887461:0.516132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dato 2:@0.887461:0.529164:0.907013:0.529164:0.907013:0.522678:0.887461:0.522678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dato 3:@0.887461:0.535887:0.907013:0.535887:0.907013:0.529402:0.887461:0.529402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Responde: ¿cuáles son los :@0.742665:0.588436:0.912857:0.588436:0.912857:0.573497:0.742665:0.573497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuantiles más usados?:@0.742665:0.603565:0.885689:0.603565:0.885689:0.588625:0.742665:0.588625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.742665:0.312377:0.851225:0.312377:0.851225:0.295430:0.742665:0.295430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.742665:0.329019:0.840141:0.329019:0.840141:0.312072:0.742665:0.312072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De la fórmula anterior :@0.749492:0.738221:0.905692:0.735138:0.905146:0.719457:0.748947:0.722539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se tiene::@0.750044:0.754101:0.807568:0.752965:0.807023:0.737284:0.749499:0.738419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.750596:0.769980:0.757868:0.769837:0.757323:0.754182:0.750052:0.754325:0.000000
j:@0.757972:0.772863:0.759989:0.772823:0.759672:0.763696:0.757654:0.763736:0.000000
 es el límite inferior :@0.759884:0.769797:0.895164:0.767128:0.894619:0.751446:0.759339:0.754116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la clase del cuartil , :@0.751144:0.785860:0.909125:0.782744:0.908580:0.767062:0.750599:0.770179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.900249:0.785947:0.902441:0.785904:0.902123:0.776762:0.899932:0.776805:0.000000
F:@0.751701:0.801741:0.759377:0.801589:0.758833:0.785934:0.751157:0.786086:0.000000
j:@0.759481:0.804616:0.761498:0.804576:0.761181:0.795449:0.759164:0.795489:0.000000
 es la frecuencia acu-:@0.761391:0.801549:0.906597:0.798684:0.906052:0.783002:0.760846:0.785868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mulada de la clase que   :@0.752248:0.817620:0.916090:0.814387:0.915545:0.798706:0.751703:0.801939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
antecede a la clase del :@0.752800:0.833500:0.913761:0.830324:0.913216:0.814643:0.752255:0.817819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuartil  :@0.753352:0.849380:0.804640:0.848368:0.804095:0.832687:0.752807:0.833699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j, ƒj es la frecuencia :@0.753904:0.865260:0.891539:0.862544:0.890994:0.846863:0.753359:0.849579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la clase del cuartil :@0.754456:0.881140:0.903456:0.878200:0.902911:0.862519:0.753911:0.865459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j, y   es la longitud del :@0.755008:0.897020:0.912000:0.893922:0.911455:0.878241:0.754463:0.881339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.777051:0.896585:0.784323:0.896442:0.783779:0.880787:0.776507:0.880930:0.000000
intervalo de la clase :@0.755560:0.912900:0.896937:0.910110:0.896392:0.894429:0.755015:0.897219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del cuartil  .:@0.756112:0.928780:0.835714:0.927209:0.835169:0.911528:0.755567:0.913098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.829198:0.927338:0.832658:0.927270:0.832114:0.911614:0.828654:0.911683:0.000000
Simbología :@0.749032:0.704954:0.834321:0.704954:0.834321:0.689548:0.749032:0.689548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.749032:0.720083:0.834182:0.720083:0.834182:0.704677:0.749032:0.704677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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