274:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000 Estadística y probabilidad:@0.073089:0.043661:0.317290:0.043661:0.317290:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1. Organicen los datos en una tabla de frecuencias :@0.073089:0.143983:0.467344:0.143983:0.467344:0.127314:0.073089:0.127314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 con = 3. Luego, seleccionen las respuestas :@0.101549:0.160625:0.434863:0.160625:0.434863:0.143956:0.101549:0.143956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k:@0.133597:0.160625:0.141990:0.160625:0.141990:0.143942:0.133597:0.143942:0.000000 correctas.:@0.101568:0.177267:0.174623:0.177267:0.174623:0.160597:0.101568:0.160597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.073089:0.204630:0.077120:0.204630:0.077120:0.188196:0.073089:0.188196:0.000000 :@0.101550:0.204630:0.105581:0.204630:0.105581:0.188196:0.101550:0.188196:0.000000 120 :@0.133336:0.204630:0.164095:0.204630:0.164095:0.188196:0.133336:0.188196:0.000000:0.000000:0.000000:0.000000 100 130 145 :@0.193583:0.204630:0.352741:0.204630:0.352741:0.188196:0.193583:0.188196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 110:@0.374314:0.204630:0.401115:0.204630:0.401115:0.188196:0.374314:0.188196:0.000000:0.000000:0.000000 :@0.073089:0.224177:0.077120:0.224177:0.077120:0.207743:0.073089:0.207743:0.000000 :@0.101550:0.224177:0.105581:0.224177:0.105581:0.207743:0.101550:0.207743:0.000000 100 :@0.133336:0.224177:0.164095:0.224177:0.164095:0.207743:0.133336:0.207743:0.000000:0.000000:0.000000:0.000000 125 148 130 :@0.193583:0.224177:0.352741:0.224177:0.352741:0.207743:0.193583:0.207743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 120:@0.374314:0.224177:0.401115:0.224177:0.401115:0.207743:0.374314:0.207743:0.000000:0.000000:0.000000 Intervalo:@0.125464:0.254377:0.192848:0.254377:0.192848:0.238756:0.125464:0.238756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.192851:0.251855:0.196231:0.251855:0.196231:0.236235:0.192851:0.236235:0.000000 de clase:@0.129764:0.270136:0.188567:0.270136:0.188567:0.254515:0.129764:0.254515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.236928:0.260996:0.245262:0.260996:0.245262:0.245400:0.236928:0.245400:0.000000 f:@0.285808:0.260996:0.291313:0.260996:0.291313:0.245400:0.285808:0.245400:0.000000 i:@0.291247:0.263882:0.293832:0.263882:0.293832:0.254790:0.291247:0.254790:0.000000 F:@0.332740:0.260998:0.341291:0.260998:0.341291:0.245403:0.332740:0.245403:0.000000 i:@0.341229:0.263882:0.343815:0.263882:0.343815:0.254790:0.341229:0.254790:0.000000 f:@0.382883:0.260998:0.388389:0.260998:0.388389:0.245403:0.382883:0.245403:0.000000 r:@0.388327:0.263882:0.391937:0.263882:0.391937:0.254790:0.388327:0.254790:0.000000 F:@0.430009:0.260998:0.438560:0.260998:0.438560:0.245403:0.430009:0.245403:0.000000 r:@0.438498:0.263882:0.442108:0.263882:0.442108:0.254790:0.438498:0.254790:0.000000 Total:@0.142220:0.348307:0.176090:0.348307:0.176090:0.333153:0.142220:0.333153:0.000000:0.000000:0.000000:0.000000:0.000000 • :@0.101549:0.390560:0.110054:0.390560:0.110054:0.374126:0.101549:0.374126:0.000000:0.000000 El rango es::@0.130010:0.390560:0.216119:0.390560:0.216119:0.373890:0.130010:0.373890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. 148 b. 248 c. 48 :@0.133339:0.417923:0.290670:0.417923:0.290670:0.401489:0.133339:0.401489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d. 120:@0.314057:0.417923:0.357664:0.417923:0.357664:0.401489:0.314057:0.401489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 • :@0.101549:0.443773:0.110054:0.443773:0.110054:0.427340:0.101549:0.427340:0.000000:0.000000 La amplitud de cada intervalo es::@0.130010:0.443773:0.379208:0.443773:0.379208:0.427104:0.130010:0.427104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.074749:0.471137:0.078780:0.471137:0.078780:0.454703:0.074749:0.454703:0.000000 a. 16:@0.133324:0.471137:0.166571:0.471137:0.166571:0.454703:0.133324:0.454703:0.000000:0.000000:0.000000:0.000000:0.000000 b. 4 :@0.197522:0.471137:0.227292:0.471137:0.227292:0.454703:0.197522:0.454703:0.000000:0.000000:0.000000:0.000000:0.000000 c. 8 :@0.253817:0.471137:0.289669:0.471137:0.289669:0.454703:0.253817:0.454703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d. 1:@0.314057:0.471137:0.339846:0.471137:0.339846:0.454703:0.314057:0.454703:0.000000:0.000000:0.000000:0.000000 • :@0.101549:0.496987:0.110054:0.496987:0.110054:0.480553:0.101549:0.480553:0.000000:0.000000 La marca de clase del segundo intervalo es::@0.130010:0.496987:0.456676:0.496987:0.456676:0.480317:0.130010:0.480317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.074749:0.524350:0.078780:0.524350:0.078780:0.507916:0.074749:0.507916:0.000000 a. 132 b. 140 c. 124 d. 108:@0.133324:0.524350:0.357664:0.524350:0.357664:0.507916:0.133324:0.507916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 • :@0.101549:0.550200:0.110054:0.550200:0.110054:0.533767:0.101549:0.533767:0.000000:0.000000 La frecuencia absoluta del tercer intervalo es::@0.130010:0.550200:0.470359:0.550200:0.470359:0.533531:0.130010:0.533531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.074749:0.577564:0.078780:0.577564:0.078780:0.561130:0.074749:0.561130:0.000000 a. 3 :@0.133324:0.577564:0.165577:0.577564:0.165577:0.561130:0.133324:0.561130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. 5 :@0.193573:0.577564:0.227299:0.577564:0.227299:0.561130:0.193573:0.561130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c. 1 :@0.253815:0.577564:0.285718:0.577564:0.285718:0.561130:0.253815:0.561130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d. 2:@0.314057:0.577564:0.339846:0.577564:0.339846:0.561130:0.314057:0.561130:0.000000:0.000000:0.000000:0.000000 • :@0.101549:0.603414:0.110054:0.603414:0.110054:0.586980:0.101549:0.586980:0.000000:0.000000 La frecuencia relativa del primer intervalo es::@0.130010:0.603414:0.467465:0.603414:0.467465:0.586744:0.130010:0.586744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.074749:0.630777:0.078780:0.630777:0.078780:0.614343:0.074749:0.614343:0.000000 a. 0,3 b. 0,2 c. 0,5 :@0.133324:0.630777:0.293792:0.630777:0.293792:0.614343:0.133324:0.614343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d. 1 :@0.314057:0.630777:0.347834:0.630777:0.347834:0.614343:0.314057:0.614343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2. Seleccionen las medidas de tendencia central :@0.082576:0.676773:0.459000:0.676773:0.459000:0.660103:0.082576:0.660103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (media, mediana y moda) que se obtienen de :@0.111036:0.693415:0.457829:0.693415:0.457829:0.676745:0.111036:0.676745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los datos agrupados.:@0.111036:0.710057:0.267664:0.710057:0.267664:0.693387:0.111036:0.693387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.082579:0.829531:0.108165:0.829531:0.108165:0.812348:0.082579:0.812348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Edad de los empleados de una fábrica:@0.146986:0.737735:0.424449:0.737735:0.424449:0.722114:0.146986:0.722114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Edad:@0.138184:0.758726:0.175634:0.758726:0.175634:0.743106:0.138184:0.743106:0.000000:0.000000:0.000000:0.000000 x:@0.234487:0.756205:0.242235:0.756205:0.242235:0.741051:0.234487:0.741051:0.000000 i:@0.308588:0.761617:0.311174:0.761617:0.311174:0.752525:0.308588:0.752525:0.000000 F:@0.358572:0.758733:0.367123:0.758733:0.367123:0.743137:0.358572:0.743137:0.000000 i:@0.367062:0.761617:0.369735:0.761617:0.369735:0.752510:0.367062:0.752510:0.000000 x:@0.409450:0.757667:0.417198:0.757667:0.417198:0.742513:0.409450:0.742513:0.000000 ⋅ :@0.417131:0.758197:0.430987:0.758197:0.430987:0.742148:0.417131:0.742148:0.000000:0.000000:0.000000 i:@0.444079:0.760551:0.446664:0.760551:0.446664:0.751459:0.444079:0.751459:0.000000 [54 – 60):@0.128298:0.779730:0.185528:0.779730:0.185528:0.764791:0.128298:0.764791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 57:@0.230191:0.779730:0.246523:0.779730:0.246523:0.764791:0.230191:0.764791:0.000000:0.000000 8:@0.295503:0.779730:0.310998:0.779730:0.310998:0.764791:0.295503:0.764791:0.000000:0.000000:0.000000 8:@0.356414:0.779730:0.371910:0.779730:0.371910:0.764791:0.356414:0.764791:0.000000:0.000000:0.000000 456:@0.415819:0.779730:0.440318:0.779730:0.440318:0.764791:0.415819:0.764791:0.000000:0.000000:0.000000 [60 - 66):@0.130005:0.799272:0.183854:0.799272:0.183854:0.784332:0.130005:0.784332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 63:@0.230207:0.799272:0.246540:0.799272:0.246540:0.784332:0.230207:0.784332:0.000000:0.000000 10:@0.295101:0.799272:0.311433:0.799272:0.311433:0.784332:0.295101:0.784332:0.000000:0.000000 18:@0.356013:0.799272:0.372345:0.799272:0.372345:0.784332:0.356013:0.784332:0.000000:0.000000 630:@0.415836:0.799272:0.440334:0.799272:0.440334:0.784332:0.415836:0.784332:0.000000:0.000000:0.000000 [66 - 72):@0.130022:0.818814:0.183871:0.818814:0.183871:0.803874:0.130022:0.803874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 69:@0.230224:0.818814:0.246556:0.818814:0.246556:0.803874:0.230224:0.803874:0.000000:0.000000 5:@0.295536:0.818814:0.311032:0.818814:0.311032:0.803874:0.295536:0.803874:0.000000:0.000000:0.000000 23:@0.356029:0.818814:0.372362:0.818814:0.372362:0.803874:0.356029:0.803874:0.000000:0.000000 345:@0.415853:0.818814:0.440351:0.818814:0.440351:0.803874:0.415853:0.803874:0.000000:0.000000:0.000000 [72 - 78]:@0.130038:0.838355:0.183888:0.838355:0.183888:0.823415:0.130038:0.823415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 75:@0.230324:0.838355:0.246489:0.838355:0.246489:0.823415:0.230324:0.823415:0.000000:0.000000 7:@0.295720:0.838355:0.310881:0.838355:0.310881:0.823415:0.295720:0.823415:0.000000:0.000000:0.000000 30:@0.356130:0.838355:0.372295:0.838355:0.372295:0.823415:0.356130:0.823415:0.000000:0.000000 525:@0.416037:0.838355:0.440201:0.838355:0.440201:0.823415:0.416037:0.823415:0.000000:0.000000:0.000000 a. 15; 64,2; 10 :@0.111036:0.873535:0.231075:0.873535:0.231075:0.857101:0.111036:0.857101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.263364:0.873535:0.267395:0.873535:0.267395:0.857101:0.263364:0.857101:0.000000 c. 65,2; 64,2; 60,71:@0.323535:0.873535:0.470987:0.873535:0.470987:0.857101:0.323535:0.857101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. 60,72; 65,87; 64,2 :@0.111036:0.900898:0.272865:0.900898:0.272865:0.884464:0.111036:0.884464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d. 65; 87,18; 10:@0.323543:0.900898:0.448768:0.900898:0.448768:0.884464:0.323543:0.884464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Compruebo mis aprendizajes :@0.157062:0.096946:0.572972:0.096946:0.572972:0.068829:0.157062:0.068829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3. En la Autopista Norte de Bogotá se tomaron las :@0.514231:0.136836:0.903756:0.136836:0.903756:0.120167:0.514231:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 velocidades de 30 automóviles, obteniendo los :@0.542692:0.153478:0.902405:0.153478:0.902405:0.136808:0.542692:0.136808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 siguientes resultados::@0.542692:0.170120:0.706535:0.170120:0.706535:0.153450:0.542692:0.153450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 89:@0.568027:0.201644:0.585919:0.201644:0.585919:0.185210:0.568027:0.185210:0.000000:0.000000 67:@0.625476:0.201644:0.643368:0.201644:0.643368:0.185210:0.625476:0.185210:0.000000:0.000000 59:@0.682925:0.201644:0.700817:0.201644:0.700817:0.185210:0.682925:0.185210:0.000000:0.000000 63:@0.740374:0.201644:0.758266:0.201644:0.758266:0.185210:0.740374:0.185210:0.000000:0.000000 65:@0.797823:0.201644:0.815715:0.201644:0.815715:0.185210:0.797823:0.185210:0.000000:0.000000 58:@0.855272:0.201644:0.873164:0.201644:0.873164:0.185210:0.855272:0.185210:0.000000:0.000000 60:@0.568064:0.222127:0.585956:0.222127:0.585956:0.205693:0.568064:0.205693:0.000000:0.000000 70:@0.625513:0.222127:0.643405:0.222127:0.643405:0.205693:0.625513:0.205693:0.000000:0.000000 92:@0.682962:0.222127:0.700854:0.222127:0.700854:0.205693:0.682962:0.205693:0.000000:0.000000 55:@0.740411:0.222127:0.758303:0.222127:0.758303:0.205693:0.740411:0.205693:0.000000:0.000000 75:@0.797860:0.222127:0.815752:0.222127:0.815752:0.205693:0.797860:0.205693:0.000000:0.000000 80:@0.855309:0.222127:0.873201:0.222127:0.873201:0.205693:0.855309:0.205693:0.000000:0.000000 54:@0.568101:0.242610:0.585992:0.242610:0.585992:0.226176:0.568101:0.226176:0.000000:0.000000 63:@0.625550:0.242610:0.643441:0.242610:0.643441:0.226176:0.625550:0.226176:0.000000:0.000000 91:@0.682999:0.242610:0.700890:0.242610:0.700890:0.226176:0.682999:0.226176:0.000000:0.000000 88:@0.740448:0.242610:0.758340:0.242610:0.758340:0.226176:0.740448:0.226176:0.000000:0.000000 82:@0.797897:0.242610:0.815789:0.242610:0.815789:0.226176:0.797897:0.226176:0.000000:0.000000 54:@0.855346:0.242610:0.873238:0.242610:0.873238:0.226176:0.855346:0.226176:0.000000:0.000000 59:@0.568137:0.263094:0.586029:0.263094:0.586029:0.246660:0.568137:0.246660:0.000000:0.000000 63:@0.625586:0.263094:0.643478:0.263094:0.643478:0.246660:0.625586:0.246660:0.000000:0.000000 62:@0.683035:0.263094:0.700927:0.263094:0.700927:0.246660:0.683035:0.246660:0.000000:0.000000 46:@0.740484:0.263094:0.758376:0.263094:0.758376:0.246660:0.740484:0.246660:0.000000:0.000000 78:@0.797934:0.263094:0.815825:0.263094:0.815825:0.246660:0.797934:0.246660:0.000000:0.000000 94:@0.855383:0.263094:0.873274:0.263094:0.873274:0.246660:0.855383:0.246660:0.000000:0.000000 48:@0.568174:0.283577:0.586066:0.283577:0.586066:0.267143:0.568174:0.267143:0.000000:0.000000 63:@0.625623:0.283577:0.643515:0.283577:0.643515:0.267143:0.625623:0.267143:0.000000:0.000000 67:@0.683072:0.283577:0.700964:0.283577:0.700964:0.267143:0.683072:0.267143:0.000000:0.000000 71:@0.740521:0.283577:0.758413:0.283577:0.758413:0.267143:0.740521:0.267143:0.000000:0.000000 82:@0.797970:0.283577:0.815862:0.283577:0.815862:0.267143:0.797970:0.267143:0.000000:0.000000 90:@0.855419:0.283577:0.873311:0.283577:0.873311:0.267143:0.855419:0.267143:0.000000:0.000000 Clasifica los datos en una tabla de distribución de :@0.544539:0.314836:0.930917:0.314836:0.930917:0.298402:0.544539:0.298402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 frecuencias y determina la media, la mediana y la :@0.544539:0.331478:0.931149:0.331478:0.931149:0.315044:0.544539:0.315044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 moda.:@0.544539:0.348119:0.590686:0.348119:0.590686:0.331686:0.544539:0.331686:0.000000:0.000000:0.000000:0.000000:0.000000 4. Se hizo una encuesta a los 24 estudiantes de grado :@0.514231:0.379064:0.930912:0.379064:0.930912:0.362395:0.514231:0.362395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 octavo, sobre el número de horas que durmieron :@0.542692:0.395706:0.916871:0.395706:0.916871:0.379037:0.542692:0.379037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el día anterior. Los resultados fueron::@0.542692:0.412348:0.820185:0.412348:0.820185:0.395679:0.542692:0.395679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 7:@0.570830:0.443872:0.579813:0.443872:0.579813:0.427438:0.570830:0.427438:0.000000 8:@0.628923:0.443872:0.637906:0.443872:0.637906:0.427438:0.628923:0.427438:0.000000 8:@0.687016:0.443872:0.695999:0.443872:0.695999:0.427438:0.687016:0.427438:0.000000 9:@0.745110:0.443872:0.754092:0.443872:0.754092:0.427438:0.745110:0.427438:0.000000 6:@0.803203:0.443872:0.812186:0.443872:0.812186:0.427438:0.803203:0.427438:0.000000 10:@0.856860:0.443872:0.874752:0.443872:0.874752:0.427438:0.856860:0.427438:0.000000:0.000000 11:@0.566357:0.464355:0.584249:0.464355:0.584249:0.447921:0.566357:0.447921:0.000000:0.000000 8:@0.628905:0.464355:0.637887:0.464355:0.637887:0.447921:0.628905:0.447921:0.000000 9:@0.686998:0.464355:0.695981:0.464355:0.695981:0.447921:0.686998:0.447921:0.000000 10:@0.740655:0.464355:0.758547:0.464355:0.758547:0.447921:0.740655:0.447921:0.000000:0.000000 6:@0.803203:0.464355:0.812186:0.464355:0.812186:0.447921:0.803203:0.447921:0.000000 7:@0.861296:0.464355:0.870279:0.464355:0.870279:0.447921:0.861296:0.447921:0.000000 8:@0.570793:0.484838:0.579776:0.484838:0.579776:0.468405:0.570793:0.468405:0.000000 9:@0.628886:0.484838:0.637869:0.484838:0.637869:0.468405:0.628886:0.468405:0.000000 11:@0.682543:0.484838:0.700435:0.484838:0.700435:0.468405:0.682543:0.468405:0.000000:0.000000 10:@0.740637:0.484838:0.758529:0.484838:0.758529:0.468405:0.740637:0.468405:0.000000:0.000000 7:@0.803185:0.484838:0.812167:0.484838:0.812167:0.468405:0.803185:0.468405:0.000000 7:@0.861278:0.484838:0.870261:0.484838:0.870261:0.468405:0.861278:0.468405:0.000000 8:@0.570775:0.505322:0.579757:0.505322:0.579757:0.488888:0.570775:0.488888:0.000000 8:@0.628868:0.505322:0.637851:0.505322:0.637851:0.488888:0.628868:0.488888:0.000000 9:@0.686961:0.505322:0.695944:0.505322:0.695944:0.488888:0.686961:0.488888:0.000000 9:@0.745055:0.505322:0.754037:0.505322:0.754037:0.488888:0.745055:0.488888:0.000000 10:@0.798712:0.505322:0.816604:0.505322:0.816604:0.488888:0.798712:0.488888:0.000000:0.000000 12:@0.856805:0.505322:0.874697:0.505322:0.874697:0.488888:0.856805:0.488888:0.000000:0.000000 Halla las medidas de dispersión.:@0.544287:0.533003:0.774221:0.533003:0.774221:0.516569:0.544287:0.516569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5. Realiza los siguientes cálculos::@0.514231:0.560375:0.770909:0.560375:0.770909:0.543705:0.514231:0.543705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.542692:0.594421:0.558136:0.594421:0.558136:0.577987:0.542692:0.577987:0.000000:0.000000:0.000000 12:@0.562854:0.587845:0.580746:0.587845:0.580746:0.571411:0.562854:0.571411:0.000000:0.000000 9:@0.567309:0.605388:0.576292:0.605388:0.576292:0.588955:0.567309:0.588955:0.000000 b. :@0.542699:0.628451:0.559607:0.628451:0.559607:0.612017:0.542699:0.612017:0.000000:0.000000:0.000000 15:@0.564327:0.621889:0.582219:0.621889:0.582219:0.605455:0.564327:0.605455:0.000000:0.000000 11:@0.564327:0.639432:0.582219:0.639432:0.582219:0.622998:0.564327:0.622998:0.000000:0.000000 c. (:@0.542699:0.661607:0.562578:0.661607:0.562578:0.645174:0.542699:0.645174:0.000000:0.000000:0.000000:0.000000 10:@0.567302:0.655933:0.585194:0.655933:0.585194:0.639499:0.567302:0.639499:0.000000:0.000000 7:@0.571757:0.673476:0.580740:0.673476:0.580740:0.657042:0.571757:0.657042:0.000000 ):@0.589925:0.661605:0.594803:0.661605:0.594803:0.645171:0.589925:0.645171:0.000000 d. (:@0.542692:0.696539:0.564376:0.696539:0.564376:0.680105:0.542692:0.680105:0.000000:0.000000:0.000000:0.000000 12:@0.569106:0.689083:0.586998:0.689083:0.586998:0.672649:0.569106:0.672649:0.000000:0.000000 10:@0.569106:0.706626:0.586998:0.706626:0.586998:0.690192:0.569106:0.690192:0.000000:0.000000 ):@0.591729:0.696544:0.596607:0.696544:0.596607:0.680110:0.591729:0.680110:0.000000 6. Resuelve los siguientes problemas::@0.514231:0.734635:0.805714:0.734635:0.805714:0.717965:0.514231:0.717965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. Se lanza una moneda y un dado. ¿Cuál es la :@0.542692:0.761998:0.890154:0.761998:0.890154:0.745564:0.542692:0.745564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 probabilidad de que salga cara en la moneda y :@0.571153:0.778640:0.914680:0.778640:0.914680:0.762206:0.571153:0.762206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que el número del dado sea mayor que 4?:@0.571153:0.795282:0.877115:0.795282:0.877115:0.778848:0.571153:0.778848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. ¿Cuál es la probabilidad de que, al sacar dos :@0.542692:0.822645:0.892234:0.822645:0.892234:0.806211:0.542692:0.806211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cartas de una baraja, la primera sea un as y la :@0.571153:0.839287:0.899209:0.839287:0.899209:0.822853:0.571153:0.822853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 segunda un rey?:@0.571153:0.855929:0.690969:0.855929:0.690969:0.839495:0.571153:0.839495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c. En una bolsa se dejan tres bolas rojas, cinco :@0.542692:0.883292:0.889331:0.883292:0.889331:0.866858:0.542692:0.866858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 azules y siete verdes. ¿Cuál es la probabilidad de :@0.571153:0.899934:0.922671:0.899934:0.922671:0.883500:0.571153:0.883500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que, al sacar dos bolas, la primera sea roja y la :@0.571153:0.916575:0.903303:0.916575:0.903303:0.900142:0.571153:0.900142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 segunda verde? :@0.571153:0.933217:0.690362:0.933217:0.690362:0.916784:0.571153:0.916784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 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