{"id":1018,"date":"2018-10-20T05:52:52","date_gmt":"2018-10-20T05:52:52","guid":{"rendered":"http:\/\/lash.utrng.edu.mx\/?p=1018"},"modified":"2020-10-15T18:27:12","modified_gmt":"2020-10-15T18:27:12","slug":"ejemplos","status":"publish","type":"post","link":"https:\/\/lash.utrng.edu.mx\/?p=1018","title":{"rendered":"Ejemplos"},"content":{"rendered":"\n<p class=\"has-very-light-gray-color has-vivid-red-background-color has-text-color has-background\"><strong>Ejemplo 1<\/strong><\/p>\n\n\n\n<p>Los siguientes datos representan la longitud en cent\u00edmetros de 80 piezas de madera que fueron seleccionadas en una bodega. Se desea presentar los datos en forma resumida y ordenada.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><a href=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1-a.png\"><img loading=\"lazy\" decoding=\"async\" width=\"958\" height=\"481\" src=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1-a.png\" alt=\"\" class=\"wp-image-1019\" srcset=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1-a.png 958w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1-a-300x151.png 300w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1-a-768x386.png 768w\" sizes=\"auto, (max-width: 958px) 100vw, 958px\" \/><\/a><\/figure><\/div>\n\n\n\n<!--more Leer Mas-->\n\n\n\n<p>Como primer paso, se debe calcular el rango de la muestra que se define como la <strong>diferencia <\/strong>entre el <strong>mayor <\/strong>y el <strong>menor <\/strong>de los elementos. As\u00ed, para los datos anteriores:<\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong>rango = 53.1 &#8211; 49.1 = 4.0<\/strong><\/p>\n\n\n\n<p>En las dos&nbsp;dos primeras columnas de la siguiente tabla se muestran los intervalos y marcas de clase (tr) de la muestra que se esta ordenando.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><a href=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1-d.png\"><img loading=\"lazy\" decoding=\"async\" width=\"1010\" height=\"385\" src=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1-d.png\" alt=\"\" class=\"wp-image-1023\" srcset=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1-d.png 1010w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1-d-300x114.png 300w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1-d-768x293.png 768w\" sizes=\"auto, (max-width: 1010px) 100vw, 1010px\" \/><\/a><\/figure><\/div>\n\n\n\n<p>La media:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><a href=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1-c.png\"><img loading=\"lazy\" decoding=\"async\" width=\"881\" height=\"89\" src=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1-c.png\" alt=\"\" class=\"wp-image-1022\" srcset=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1-c.png 881w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1-c-300x30.png 300w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1-c-768x78.png 768w\" sizes=\"auto, (max-width: 881px) 100vw, 881px\" \/><\/a><\/figure>\n\n\n\n<p>La mediana<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><a href=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1F.png\"><img loading=\"lazy\" decoding=\"async\" width=\"430\" height=\"190\" src=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1F.png\" alt=\"\" class=\"wp-image-1030\" srcset=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1F.png 430w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1F-300x133.png 300w\" sizes=\"auto, (max-width: 430px) 100vw, 430px\" \/><\/a><\/figure><\/div>\n\n\n\n<figure class=\"wp-block-image\"><a href=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1-G.png\"><img loading=\"lazy\" decoding=\"async\" width=\"604\" height=\"214\" src=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1-G.png\" alt=\"\" class=\"wp-image-1032\" srcset=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1-G.png 604w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1-G-300x106.png 300w\" sizes=\"auto, (max-width: 604px) 100vw, 604px\" \/><\/a><\/figure>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><a href=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1-e.png\"><img loading=\"lazy\" decoding=\"async\" width=\"425\" height=\"106\" src=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1-e.png\" alt=\"\" class=\"wp-image-1025\" srcset=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1-e.png 425w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1-e-300x75.png 300w\" sizes=\"auto, (max-width: 425px) 100vw, 425px\" \/><\/a><\/figure><\/div>\n\n\n\n<p>Para representar las frecuencias o las frecuencias relativas se usa generalmente el <strong>histograma <\/strong>o pol\u00edgono de <strong>Frecuencias<\/strong>. En el histograma, la frecuencia se considera constante en todos los puntos de cada intervalo de clase, por lo que se representa como una sucesi\u00f3n de rect\u00e1ngulos del mismo ancho y cuyas alturas corresponden a las frecuencias o a las frecuencias relativas acumuladas de los intervalos correspondientes.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><a href=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1-b.png\"><img loading=\"lazy\" decoding=\"async\" width=\"779\" height=\"558\" src=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1-b.png\" alt=\"\" class=\"wp-image-1020\" srcset=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1-b.png 779w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1-b-300x215.png 300w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/1-b-768x550.png 768w\" sizes=\"auto, (max-width: 779px) 100vw, 779px\" \/><\/a><\/figure><\/div>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p class=\"has-very-light-gray-color has-vivid-red-background-color has-text-color has-background\"><strong>Ejemplo 2<\/strong><\/p>\n\n\n\n<p>El n\u00famero de autom\u00f3viles que se vende semanalmente en una agencia distribuidora, se ha registrado durante diez semanas con los siguientes resultados:<\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong>2,5,3,4,4,4,5,1,1,3<\/strong><\/p>\n\n\n\n<p>\u00bfCu\u00e1l es la media muestral?<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><a href=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/2-a.png\"><img loading=\"lazy\" decoding=\"async\" width=\"867\" height=\"54\" src=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/2-a.png\" alt=\"\" class=\"wp-image-1021\" srcset=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/2-a.png 867w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/2-a-300x19.png 300w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/2-a-768x48.png 768w\" sizes=\"auto, (max-width: 867px) 100vw, 867px\" \/><\/a><\/figure><\/div>\n\n\n\n<p>Cu\u00e1l es la mediana de la muestra?. ordenando los elementos en forma ascendente, se obtiene:<\/p>\n\n\n\n<p>1,1,2,3,3,4,4,4,5,5 <\/p>\n\n\n\n<p>como son diez elementos, la mediana se encuentra entre el quinto(3) y el sexto elemento (4), por lo cual:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><a href=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/2-b.png\"><img loading=\"lazy\" decoding=\"async\" width=\"256\" height=\"53\" src=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/2-b.png\" alt=\"\" class=\"wp-image-1024\"\/><\/a><\/figure><\/div>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p class=\"has-very-light-gray-color has-vivid-red-background-color has-text-color has-background\"><strong>Ejemplo 3<\/strong><\/p>\n\n\n\n<p>La producci\u00f3n de mineral de fierro en siete pa\u00edses, latinoamericanos, durante el a\u00f1o 2016, fue la siguiente:<\/p>\n\n\n\n<p>1,9.7,0.5,8.7,7,5,9,16(miles de toneladas). <\/p>\n\n\n\n<p><br>Obtener:<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>La media.<\/li><li>La desviaci\u00f3n est\u00e1ndar.<\/li><li>El coeficiente de variaci\u00f3n.<\/li><\/ol>\n\n\n\n<p>La media:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"609\" height=\"49\" src=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/3-a.png\" alt=\"\" class=\"wp-image-1026\" srcset=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/3-a.png 609w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/3-a-300x24.png 300w\" sizes=\"auto, (max-width: 609px) 100vw, 609px\" \/><\/figure>\n\n\n\n<p>= 6.97 (miles de toneladas)<\/p>\n\n\n\n<p>La desviaci\u00f3n est\u00e1ndar:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><a href=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/3-b-1.png\"><img loading=\"lazy\" decoding=\"async\" width=\"853\" height=\"190\" src=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/3-b-1.png\" alt=\"\" class=\"wp-image-1027\" srcset=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/3-b-1.png 853w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/3-b-1-300x67.png 300w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/3-b-1-768x171.png 768w\" sizes=\"auto, (max-width: 853px) 100vw, 853px\" \/><\/a><\/figure><\/div>\n\n\n\n<p>Coeficiente de variaci\u00f3n:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><a href=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/3-c.png\"><img loading=\"lazy\" decoding=\"async\" width=\"282\" height=\"50\" src=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/10\/3-c.png\" alt=\"\" class=\"wp-image-1028\"\/><\/a><\/figure><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Ejemplo 1 Los siguientes datos representan la longitud en cent\u00edmetros de 80 piezas de madera que fueron seleccionadas en una bodega. Se desea presentar los datos en forma resumida y ordenada.<\/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":[29,74],"tags":[],"class_list":["post-1018","post","type-post","status-publish","format-standard","hentry","category-primerparcialestadistica","category-segundoparcial-textil-estadistica"],"_links":{"self":[{"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=\/wp\/v2\/posts\/1018","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=1018"}],"version-history":[{"count":5,"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=\/wp\/v2\/posts\/1018\/revisions"}],"predecessor-version":[{"id":3152,"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=\/wp\/v2\/posts\/1018\/revisions\/3152"}],"wp:attachment":[{"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1018"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1018"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1018"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}