{"id":984,"date":"2014-02-19T11:00:40","date_gmt":"2014-02-19T16:00:40","guid":{"rendered":"http:\/\/laprofematematica.com\/blog\/?p=984"},"modified":"2016-07-21T20:39:30","modified_gmt":"2016-07-22T01:39:30","slug":"medidas-de-dispersion","status":"publish","type":"post","link":"https:\/\/laprofematematica.com\/blog\/medidas-de-dispersion\/","title":{"rendered":"Medidas de Dispersion"},"content":{"rendered":"<h1>Medidas de Dispersi\u00f3n, Rango, Varianza y Desviaci\u00f3n Est\u00e1ndar<\/h1>\n<p><center><iframe src=\"https:\/\/www.youtube.com\/embed\/izTH024rtgs\" width=\"640\" height=\"480\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><\/p>\n<p style=\"text-align: justify;\">La <strong>Dispersi\u00f3n<\/strong> permite analizar c\u00f3mo se dispersan los valores de una variable de tipo intervalo\/raz\u00f3n de menor\u00a0a mayor y la forma gr\u00e1fica que estos valores presentan. Si se conoce <a href=\"http:\/\/laprofematematica.com\/blog\/medidas-de-tendencia-central\/\" target=\"_blank\">la media de una poblaci\u00f3n<\/a> hay distintas posibles formas de distribuir los valores, e posible que todos est\u00e9n alrededor de la media o podr\u00edn estar sesgados hacia un lado. Estudiar la dispersi\u00f3n es revisar el eje horizontal y observar donde est\u00e1n alojados los datos.<\/p>\n<p style=\"text-align: justify;\">Entonces los Estad\u00edsticos de Dispersi\u00f3n o <strong>Medidas de Dispersi\u00f3n<\/strong> describen como se dispersan los datos de una variable a lo largo de su distribuci\u00f3n. Las Medidas de Dispersi\u00f3n son: el Rango, la Desviaci\u00f3n Est\u00e1ndar y la Varianza.<\/p>\n<p style=\"text-align: justify;\">\u00a0El Rango es una <strong>Medida de Dispersi\u00f3n<\/strong> que indica c\u00f3mo los datos de una variable se distribuyen de menor a mayor, es decir la distancia entre el valor m\u00ednimo y m\u00e1ximo, es f\u00e1cil de calcular porque solo deber\u00e1 restar el valor m\u00e1ximo menos el valor m\u00ednimo. El Rango se ve afectado cuando exista valores muy aislados del grupo, la informaci\u00f3n que suministra no dice nada de la <a href=\"http:\/\/laprofematematica.com\/blog\/estadistica-analisis-de-datos\/\" target=\"_blank\">distribuci\u00f3n de puntuaciones<\/a><\/p>\n<p style=\"text-align: justify;\">La Desviaci\u00f3n Est\u00e1ndar es una <strong><em>Medida de Dispersi\u00f3n<\/em> <\/strong>que describe la forma en que los valores de la variable se dispersan a lo largo de la distribuci\u00f3n en relaci\u00f3n a la media. El c\u00e1lculo de la Desviaci\u00f3n Est\u00e1ndar involucra cuanta separaci\u00f3n existe entre el valor y la media, as\u00ed como el n\u00famero de datos, por lo tat es una medida que involucra a todos los datos de la muestra o poblaci\u00f3n.<\/p>\n<figure id=\"attachment_987\" aria-describedby=\"caption-attachment-987\" style=\"width: 290px\" class=\"wp-caption aligncenter\"><img fetchpriority=\"high\" decoding=\"async\" class=\"wp-image-987 size-full\" title=\"Medida de dispersion - desviacion estandar\" src=\"http:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2014\/02\/80x300-ecuciondesvest.jpg\" alt=\"Medida de dispersion - desviacion estandar\" width=\"300\" height=\"180\" \/><figcaption id=\"caption-attachment-987\" class=\"wp-caption-text\">Medida de dispersion &#8211; desviacion estandar<\/figcaption><\/figure>\n<p style=\"text-align: justify;\">La f\u00f3rmula de la desviaci\u00f3n Est\u00e1ndar involucra un factor denominado Puntuaci\u00f3n de desviaci\u00f3n el cual indica la cantidad a\u00a0 que la puntuaci\u00f3n se aleja de la media y la direcci\u00f3n de la puntuaci\u00f3n, si est\u00e1 por arriba o por debajo de la media.<\/p>\n<p style=\"text-align: justify;\">La Varianza se obtiene antes de calcular la ra\u00edz cuadrada de la Desviaci\u00f3n Est\u00e1ndar, lo que indica que muestra la media de la suma de cuadrados.<\/p>\n<figure id=\"attachment_988\" aria-describedby=\"caption-attachment-988\" style=\"width: 290px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" class=\"wp-image-988 size-full\" title=\"Medidas de Dispersion - Varianza\" src=\"http:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2014\/02\/180x300-ecuacionvarianz.jpg\" alt=\"Medidas de Dispersion - Varianza\" width=\"300\" height=\"180\" \/><figcaption id=\"caption-attachment-988\" class=\"wp-caption-text\">Medidas de Dispersion &#8211; Varianza<\/figcaption><\/figure>\n<p style=\"text-align: justify;\">Estas tres medidas se combinan con las de <a href=\"http:\/\/laprofematematica.com\/blog\/medidas-de-tendencia-central\/\" target=\"_blank\">Tendencia Central para permitir un an\u00e1lisis<\/a> de resultados adecuados.<\/p>\n<h2 style=\"text-align: center;\"><span style=\"color: #ff0000;\">Medidas de Dispersion permite al investigador caracterizar una muestra.<\/span><\/h2>\n","protected":false},"excerpt":{"rendered":"<p>Medidas de Dispersi\u00f3n, Rango, Varianza y Desviaci\u00f3n Est\u00e1ndar La Dispersi\u00f3n permite analizar c\u00f3mo se dispersan los valores de una variable de tipo intervalo\/raz\u00f3n de menor\u00a0a mayor y la forma gr\u00e1fica que estos valores presentan. Si se conoce la media de una poblaci\u00f3n hay distintas posibles formas de distribuir los valores, e posible que todos est\u00e9n &#8230; <a title=\"Medidas de Dispersion\" class=\"read-more\" href=\"https:\/\/laprofematematica.com\/blog\/medidas-de-dispersion\/\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":1384,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[148,165,147,146],"class_list":["post-984","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-estadistica","tag-desviacion-estandar","tag-medidas-de-dispersion","tag-rango","tag-varianza"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Medidas de Dispersion -<\/title>\n<meta name=\"description\" content=\"Medidas de Dispersi\u00f3n, Rango, Varianza y Desviaci\u00f3n 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