{"id":431,"date":"2018-01-27T21:14:43","date_gmt":"2018-01-27T21:14:43","guid":{"rendered":"http:\/\/lash.utrng.edu.mx\/?p=431"},"modified":"2018-01-29T16:53:58","modified_gmt":"2018-01-29T16:53:58","slug":"probabilidad","status":"publish","type":"post","link":"https:\/\/lash.utrng.edu.mx\/?p=431","title":{"rendered":"Probabilidad"},"content":{"rendered":"<p><a href=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/01\/calcu1.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-440\" src=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/01\/calcu1-1024x768.jpg\" alt=\"\" width=\"600\" height=\"450\" srcset=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/01\/calcu1-1024x768.jpg 1024w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/01\/calcu1-300x225.jpg 300w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/01\/calcu1-768x576.jpg 768w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/a><\/p>\n<p><strong><span style=\"color: #99cc00;\">La media.<\/span><\/strong><\/p>\n<p>Tambi\u00e9n es el promedio o Media aritm\u00e9tica. Es el&nbsp;valor&nbsp;obtenido al&nbsp;sumar&nbsp;todos los&nbsp;datos&nbsp;y&nbsp;dividir&nbsp;el resultado entre el&nbsp;n\u00famero&nbsp;total de&nbsp;datos.<\/p>\n<p><a href=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/01\/Media.gif\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-433\" src=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/01\/Media.gif\" alt=\"\" width=\"190\" height=\"42\"><\/a><\/p>\n<h4>&nbsp;<\/h4>\n<p><!--more--><\/p>\n<h4 id=\"me\"><span style=\"color: #99cc00;\"><strong>Mediana<\/strong><\/span><\/h4>\n<p>Es el&nbsp;valor&nbsp;que ocupa el&nbsp;lugar central&nbsp;de todos los&nbsp;datos&nbsp;cuando \u00e9stos est\u00e1n&nbsp;ordenados de menor a mayor.<\/p>\n<h4 id=\"dm\"><span style=\"color: #99cc00;\"><strong>Desviaci\u00f3n media<\/strong><\/span><\/h4>\n<p>La&nbsp;desviaci\u00f3n media&nbsp;es la&nbsp;media aritm\u00e9tica&nbsp;de los&nbsp;valores absolutos de las desviaciones respecto a la media.<\/p>\n<p><a href=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/01\/DesviacionMedia.gif\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-434\" src=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/01\/DesviacionMedia.gif\" alt=\"\" width=\"264\" height=\"45\"><\/a><\/p>\n<h4 id=\"va\"><strong><span style=\"color: #99cc00;\">Varianza<\/span><\/strong><\/h4>\n<p>La&nbsp;varianza&nbsp;es la&nbsp;media aritm\u00e9tica del cuadrado de las desviaciones respecto a la media&nbsp;de una distribuci\u00f3n estad\u00edstica.<\/p>\n<p><a href=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/01\/varianza.gif\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-435\" src=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/01\/varianza.gif\" alt=\"\" width=\"306\" height=\"48\"><\/a><\/p>\n<p>tambi\u00e9n se puede simplificar el&nbsp;<strong>c\u00e1lculo de la varianza<\/strong>&nbsp;con la siguiente expresi\u00f3n que es equivalente a la anterior.<\/p>\n<p><a href=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/01\/varianza2.gif\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-436\" src=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/01\/varianza2.gif\" alt=\"\" width=\"200\" height=\"44\"><\/a><\/p>\n<h4 id=\"dt\"><strong><span style=\"color: #99cc00;\">Desviaci\u00f3n Est\u00e1ndar<\/span><\/strong><\/h4>\n<p>La&nbsp;desviaci\u00f3n t\u00edpica&nbsp;es la&nbsp;ra\u00edz cuadrada de la varianza.<\/p>\n<p><a href=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/01\/DesvEstandar.gif\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-437\" src=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/01\/DesvEstandar.gif\" alt=\"\" width=\"312\" height=\"53\"><\/a><\/p>\n<p>o<\/p>\n<p><a href=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/01\/DesvEstandar2.gif\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-438\" src=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/01\/DesvEstandar2.gif\" alt=\"\" width=\"206\" height=\"49\"><\/a><\/p>\n<p>Ejercicios.<\/p>\n<ol>\n<li>Un fabricante de componentes electricos se interesa en determinar el tiempo de vida de una bateria, la que sigue es unamuestra en horas de vida:&nbsp; 123,116, 122,110,175,126, 125,111, 118, 117\n<ol>\n<li>Determine la media y la mediana de la muestra.<\/li>\n<li>\u00bfcu\u00e1l dato es el responsable dela diferencia marcada entre las dos?<\/li>\n<\/ol>\n<\/li>\n<li>Un fabricante quiere de neum\u00e1ticos quiere determinar el di\u00e1metro interior de cierto grado de neum\u00e1tico. idealmente el neumatico seria 570mm, los datos son los siguientes: 572, 572, 573, 568, 569, 575, 565, 570.\n<ol>\n<li>Encuentre la media y la mediana.<\/li>\n<li>Encuentre la varianza, desviaci\u00f3n estandar y rango de la muestra.<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>La media. Tambi\u00e9n es el promedio o Media aritm\u00e9tica. Es el&nbsp;valor&nbsp;obtenido al&nbsp;sumar&nbsp;todos los&nbsp;datos&nbsp;y&nbsp;dividir&nbsp;el resultado entre el&nbsp;n\u00famero&nbsp;total de&nbsp;datos. &nbsp;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"footnotes":""},"categories":[21],"tags":[],"class_list":["post-431","post","type-post","status-publish","format-standard","hentry","category-primerparcialprobesta"],"_links":{"self":[{"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=\/wp\/v2\/posts\/431","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=431"}],"version-history":[{"count":4,"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=\/wp\/v2\/posts\/431\/revisions"}],"predecessor-version":[{"id":456,"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=\/wp\/v2\/posts\/431\/revisions\/456"}],"wp:attachment":[{"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=431"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=431"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=431"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}