﻿198:@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:@0.073089:0.043661:0.304737:0.043661:0.304737:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En un colegio de la ciudad de Cali, se ha realizado una encuesta respecto a la cantidad :@0.293660:0.240389:0.931319:0.240389:0.931319:0.223955:0.293660:0.223955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de minutos que invierten los estudiantes para estudiar la asignatura de Matemáticas al :@0.293660:0.257031:0.931173:0.257031:0.931173:0.240597:0.293660:0.240597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
día, con lo cual se obtiene la siguiente lista de datos.:@0.293660:0.273672:0.671244:0.273672:0.671244:0.257239:0.293660:0.257239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
16:@0.459039:0.310873:0.476931:0.310873:0.476931:0.294439:0.459039:0.294439:0.000000:0.000000
25:@0.530183:0.310873:0.548075:0.310873:0.548075:0.294439:0.530183:0.294439:0.000000:0.000000
34:@0.601327:0.310873:0.619219:0.310873:0.619219:0.294439:0.601327:0.294439:0.000000:0.000000
10:@0.672471:0.310873:0.690363:0.310873:0.690363:0.294439:0.672471:0.294439:0.000000:0.000000
60:@0.743615:0.310873:0.761507:0.310873:0.761507:0.294439:0.743615:0.294439:0.000000:0.000000
33:@0.459002:0.328735:0.476894:0.328735:0.476894:0.312302:0.459002:0.312302:0.000000:0.000000
27:@0.530146:0.328735:0.548038:0.328735:0.548038:0.312302:0.530146:0.312302:0.000000:0.000000
28:@0.601291:0.328735:0.619182:0.328735:0.619182:0.312302:0.601291:0.312302:0.000000:0.000000
30:@0.672435:0.328735:0.690326:0.328735:0.690326:0.312302:0.672435:0.312302:0.000000:0.000000
25:@0.743579:0.328735:0.761470:0.328735:0.761470:0.312302:0.743579:0.312302:0.000000:0.000000
45:@0.458966:0.346598:0.476857:0.346598:0.476857:0.330164:0.458966:0.330164:0.000000:0.000000
50:@0.530110:0.346598:0.548002:0.346598:0.548002:0.330164:0.530110:0.330164:0.000000:0.000000
27:@0.601254:0.346598:0.619146:0.346598:0.619146:0.330164:0.601254:0.330164:0.000000:0.000000
30:@0.672398:0.346598:0.690290:0.346598:0.690290:0.330164:0.672398:0.330164:0.000000:0.000000
15:@0.743542:0.346598:0.761434:0.346598:0.761434:0.330164:0.743542:0.330164:0.000000:0.000000
20:@0.458929:0.364460:0.476821:0.364460:0.476821:0.348026:0.458929:0.348026:0.000000:0.000000
40:@0.530073:0.364460:0.547965:0.364460:0.547965:0.348026:0.530073:0.348026:0.000000:0.000000
60:@0.601217:0.364460:0.619109:0.364460:0.619109:0.348026:0.601217:0.348026:0.000000:0.000000
35:@0.672361:0.364460:0.690253:0.364460:0.690253:0.348026:0.672361:0.348026:0.000000:0.000000
15:@0.743505:0.364460:0.761397:0.364460:0.761397:0.348026:0.743505:0.348026:0.000000:0.000000
12:@0.458892:0.382322:0.476784:0.382322:0.476784:0.365888:0.458892:0.365888:0.000000:0.000000
25:@0.530036:0.382322:0.547928:0.382322:0.547928:0.365888:0.530036:0.365888:0.000000:0.000000
30:@0.601180:0.382322:0.619072:0.382322:0.619072:0.365888:0.601180:0.365888:0.000000:0.000000
20:@0.672324:0.382322:0.690216:0.382322:0.690216:0.365888:0.672324:0.365888:0.000000:0.000000
35:@0.743468:0.382322:0.761360:0.382322:0.761360:0.365888:0.743468:0.365888:0.000000:0.000000
45:@0.458855:0.400184:0.476747:0.400184:0.476747:0.383751:0.458855:0.383751:0.000000:0.000000
40:@0.529999:0.400184:0.547891:0.400184:0.547891:0.383751:0.529999:0.383751:0.000000:0.000000
15:@0.601143:0.400184:0.619035:0.400184:0.619035:0.383751:0.601143:0.383751:0.000000:0.000000
28:@0.672287:0.400184:0.690179:0.400184:0.690179:0.383751:0.672287:0.383751:0.000000:0.000000
30:@0.743431:0.400184:0.761323:0.400184:0.761323:0.383751:0.743431:0.383751:0.000000:0.000000
45:@0.458818:0.418047:0.476710:0.418047:0.476710:0.401613:0.458818:0.401613:0.000000:0.000000
27:@0.529962:0.418047:0.547854:0.418047:0.547854:0.401613:0.529962:0.401613:0.000000:0.000000
20:@0.601106:0.418047:0.618998:0.418047:0.618998:0.401613:0.601106:0.401613:0.000000:0.000000
35:@0.672250:0.418047:0.690142:0.418047:0.690142:0.401613:0.672250:0.401613:0.000000:0.000000
60:@0.743395:0.418047:0.761286:0.418047:0.761286:0.401613:0.743395:0.401613:0.000000:0.000000
60:@0.458782:0.435909:0.476673:0.435909:0.476673:0.419475:0.458782:0.419475:0.000000:0.000000
15:@0.529926:0.435909:0.547817:0.435909:0.547817:0.419475:0.529926:0.419475:0.000000:0.000000
20:@0.601070:0.435909:0.618961:0.435909:0.618961:0.419475:0.601070:0.419475:0.000000:0.000000
28:@0.672214:0.435909:0.690106:0.435909:0.690106:0.419475:0.672214:0.419475:0.000000:0.000000
36:@0.743358:0.435909:0.761250:0.435909:0.761250:0.419475:0.743358:0.419475:0.000000:0.000000
Al analizar la información, se evidencia que los datos están muy dispersos y que, además, :@0.293374:0.469581:0.930714:0.469581:0.930714:0.453147:0.293374:0.453147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no hay una gran centralización de la misma. Para atender a esto, se agrupan los datos por :@0.293374:0.486223:0.931182:0.486223:0.931182:0.469789:0.293374:0.469789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intervalos, de tal forma que sea más sencilla la organización.:@0.293374:0.502865:0.726878:0.502865:0.726878:0.486431:0.293374:0.486431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El :@0.305431:0.540785:0.322294:0.540785:0.322294:0.524351:0.305431:0.524351:0.000000:0.000000:0.000000
intervalo:@0.323933:0.540785:0.393774:0.540785:0.393774:0.524116:0.323933:0.524116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de valores se define con una :@0.393955:0.540785:0.625061:0.540785:0.625061:0.524351:0.393955:0.524351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
amplitud:@0.626751:0.540785:0.698134:0.540785:0.698134:0.524116:0.626751:0.524116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 fija para permitir un análisis :@0.698300:0.540785:0.919097:0.540785:0.919097:0.524351:0.698300:0.524351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
completo según su distribución. Para cada intervalo, se toma un valor representativo :@0.305416:0.557427:0.919539:0.557427:0.919539:0.540993:0.305416:0.540993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
llamado :@0.305416:0.574069:0.368332:0.574069:0.368332:0.557635:0.305416:0.557635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
marca de clase:@0.368203:0.574069:0.479802:0.574069:0.479802:0.557399:0.368203:0.557399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, que corresponde al valor medio del intervalo. :@0.479677:0.574069:0.819736:0.574069:0.819736:0.557635:0.479677:0.557635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para el ejemplo anterior, se tiene una amplitud de diez unidades; se toma el :@0.293653:0.605161:0.880872:0.605161:0.880872:0.588728:0.293653:0.588728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
límite:@0.882483:0.605161:0.926915:0.605161:0.926915:0.588492:0.882483:0.588492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.926900:0.605161:0.930931:0.605161:0.930931:0.588728:0.926900:0.588728:0.000000
inferior:@0.293653:0.621803:0.348279:0.621803:0.348279:0.605134:0.293653:0.605134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 del primer intervalo como el dato más pequeño y el :@0.348139:0.621803:0.727117:0.621803:0.727117:0.605369:0.348139:0.605369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
límite superior:@0.726390:0.621803:0.835519:0.621803:0.835519:0.605134:0.726390:0.605134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 teniendo en :@0.835342:0.621803:0.930970:0.621803:0.930970:0.605369:0.835342:0.605369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuenta la amplitud del intervalo, así::@0.293653:0.638445:0.553527:0.638445:0.553527:0.622011:0.293653:0.622011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El :@0.305431:0.668277:0.321734:0.668277:0.321734:0.651843:0.305431:0.651843:0.000000:0.000000:0.000000
rango:@0.321711:0.668277:0.366824:0.668277:0.366824:0.651607:0.321711:0.651607:0.000000:0.000000:0.000000:0.000000:0.000000
 de los datos se calculará por medio de la diferencia entre el dato mayor y el :@0.366735:0.668277:0.919492:0.668277:0.919492:0.651843:0.366735:0.651843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dato menor.     :@0.305439:0.684919:0.429835:0.684919:0.429835:0.668485:0.305439:0.668485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.397733:0.684919:0.406679:0.684919:0.406679:0.668513:0.397733:0.668513:0.000000
5:@0.410563:0.684364:0.425896:0.684364:0.425896:0.670648:0.410563:0.670648:0.000000
x    x:@0.429762:0.684919:0.484468:0.684919:0.484468:0.668513:0.429762:0.668513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
máx:@0.437143:0.688091:0.455322:0.688091:0.455322:0.678526:0.437143:0.678526:0.000000:0.000000:0.000000
2:@0.458532:0.684364:0.473865:0.684364:0.473865:0.670648:0.458532:0.670648:0.000000
mín:@0.484416:0.688091:0.500599:0.688091:0.500599:0.678526:0.484416:0.678526:0.000000:0.000000:0.000000
.:@0.500569:0.684919:0.503772:0.684919:0.503772:0.668485:0.500569:0.668485:0.000000
Intervalo 1: [10, 20) donde el :@0.293653:0.726038:0.503014:0.726038:0.503014:0.709604:0.293653:0.709604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
límite inferior:@0.502741:0.726038:0.604522:0.726038:0.604522:0.709368:0.502741:0.709368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es 10 y el:@0.604386:0.726038:0.674463:0.726038:0.674463:0.709604:0.604386:0.709604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 límite superior:@0.674315:0.726038:0.788172:0.726038:0.788172:0.709368:0.674315:0.709368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es 20.:@0.788035:0.726038:0.832618:0.726038:0.832618:0.709604:0.788035:0.709604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Nota: se debe tener en cuenta que el valor 20 aparece en dos intervalos, pero en caso de :@0.293635:0.753400:0.930692:0.753400:0.930692:0.736966:0.293635:0.736966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
presentarse este dato en específico, solo contará para el intervalo en el que esté incluido. :@0.293635:0.770042:0.931380:0.770042:0.931380:0.753608:0.293635:0.753608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Esto ocurre cuando el valor está acompañado de un corchete.:@0.293635:0.786683:0.742711:0.786683:0.742711:0.770250:0.293635:0.770250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Intervalo 2: [20, 30):@0.293635:0.814045:0.430195:0.814045:0.430195:0.797612:0.293635:0.797612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Intervalo 3: [30, 40):@0.293635:0.841407:0.430195:0.841407:0.430195:0.824974:0.293635:0.824974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Intervalo 4: [40, 50):@0.293635:0.868769:0.430195:0.868769:0.430195:0.852335:0.293635:0.852335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Intervalo 5: [50, 60):@0.293635:0.896131:0.430195:0.896131:0.430195:0.879697:0.293635:0.879697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 4. Frecuencia absoluta y relativa para datos agrupados:@0.073089:0.098207:0.923267:0.098207:0.923267:0.068528:0.073089:0.068528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pregunta a diez de tus compañeros cuántos libros leen al año y qué tipo de libros :@0.293660:0.174318:0.877234:0.174318:0.877234:0.157884:0.293660:0.157884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
prefieren leer. Según sus respuestas, halla la media, la mediana y la moda.:@0.293660:0.190960:0.822992:0.190960:0.822992:0.174526:0.293660:0.174526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.302768:0.139600:0.437491:0.139600:0.437491:0.122653:0.302768:0.122653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 8 (Ev. 1) Plantea preguntas, diseña y realiza un plan para recolectar la información pertinente.:@0.083999:0.965315:0.590092:0.965315:0.590092:0.953363:0.083999:0.953363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 8 (Ev. 3) Encuentra e interpreta las medidas de tendencia central y el rango en datos agrupados, empleando herramientas tecnológicas cuando sea posible.:@0.083999:0.977418:0.916142:0.977418:0.916142:0.965466:0.083999:0.965466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las agencias :@0.081418:0.294968:0.166091:0.294968:0.166091:0.280028:0.081418:0.280028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gubernamentales emplean :@0.081418:0.310097:0.261300:0.310097:0.261300:0.295157:0.081418:0.295157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
frecuencias absolutas :@0.081418:0.325226:0.222965:0.325226:0.222965:0.310286:0.081418:0.310286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y relativas para analizar :@0.081418:0.340355:0.231750:0.340355:0.231750:0.325415:0.081418:0.325415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la distribución de la :@0.081418:0.355483:0.210414:0.355483:0.210414:0.340544:0.081418:0.340544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
población en diversos :@0.081418:0.370612:0.226646:0.370612:0.226646:0.355673:0.081418:0.355673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
grupos demográficos, :@0.081418:0.385741:0.225995:0.385741:0.225995:0.370801:0.081418:0.370801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como edad, género y :@0.081418:0.400870:0.222789:0.400870:0.222789:0.385930:0.081418:0.385930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nivel educativo. En una :@0.081418:0.415999:0.233494:0.415999:0.233494:0.401059:0.081418:0.401059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
democracia, todos los :@0.081418:0.431128:0.225925:0.431128:0.225925:0.416188:0.081418:0.416188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciudadanos tienen voz :@0.081418:0.446257:0.230906:0.446257:0.230906:0.431317:0.081418:0.431317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y voto. Cuando estas :@0.081418:0.461386:0.218144:0.461386:0.218144:0.446446:0.081418:0.446446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
agencias comprenden :@0.081418:0.476515:0.230435:0.476515:0.230435:0.461575:0.081418:0.461575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bien a la comunidad, :@0.081418:0.491644:0.220135:0.491644:0.220135:0.476704:0.081418:0.476704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pueden tomar decisiones :@0.081418:0.506773:0.250038:0.506773:0.250038:0.491833:0.081418:0.491833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que beneficien a todos. :@0.081418:0.521902:0.235895:0.521902:0.235895:0.506962:0.081418:0.506962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por ejemplo, si identifican :@0.081418:0.537031:0.249597:0.537031:0.249597:0.522091:0.081418:0.522091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una gran cantidad de :@0.081418:0.552160:0.223264:0.552160:0.223264:0.537220:0.081418:0.537220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
niños en la población, :@0.081418:0.567289:0.226233:0.567289:0.226233:0.552349:0.081418:0.552349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pueden implementar :@0.081418:0.582418:0.223790:0.582418:0.223790:0.567478:0.081418:0.567478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
más iniciativas para :@0.081418:0.597546:0.209465:0.597546:0.209465:0.582607:0.081418:0.582607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
apoyarlos, como asegurar :@0.081418:0.612675:0.250495:0.612675:0.250495:0.597736:0.081418:0.597736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la disponibilidad de :@0.081418:0.627804:0.211356:0.627804:0.211356:0.612865:0.081418:0.612865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
suficientes bibliotecas o :@0.081418:0.642933:0.238569:0.642933:0.238569:0.627993:0.081418:0.627993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
actividades deportivas.:@0.081418:0.658062:0.228572:0.658062:0.228572:0.643122:0.081418:0.643122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cátedra de :@0.081418:0.245989:0.170739:0.245989:0.170739:0.229042:0.081418:0.229042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciudadanía y :@0.081418:0.258596:0.185564:0.258596:0.185564:0.241650:0.081418:0.241650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
democracia:@0.081418:0.271203:0.173266:0.271203:0.173266:0.254256:0.081418:0.254256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo crees que conocer :@0.081418:0.774225:0.253748:0.774225:0.253748:0.759285:0.081418:0.759285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuántos niños hay en tu :@0.081418:0.789354:0.239257:0.789354:0.239257:0.774414:0.081418:0.774414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
barrio, conjunto o cuadra, :@0.081418:0.804483:0.250288:0.804483:0.250288:0.789543:0.081418:0.789543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puede ayudar a mejorar las :@0.081418:0.819612:0.259476:0.819612:0.259476:0.804672:0.081418:0.804672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cosas para ti y tus amigos?:@0.081418:0.834741:0.251216:0.834741:0.251216:0.819801:0.081418:0.819801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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