{"id":92,"date":"2023-08-05T13:21:16","date_gmt":"2023-08-05T13:21:16","guid":{"rendered":"https:\/\/statorials.org\/pt\/medicoes-de-dispersao\/"},"modified":"2023-08-05T13:21:16","modified_gmt":"2023-08-05T13:21:16","slug":"medicoes-de-dispersao","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/medicoes-de-dispersao\/","title":{"rendered":"Medi\u00e7\u00f5es de dispers\u00e3o"},"content":{"rendered":"<p>Neste artigo, voc\u00ea aprender\u00e1 o que s\u00e3o medidas de dispers\u00e3o e para que servem essas m\u00e9tricas estat\u00edsticas. Al\u00e9m disso, voc\u00ea poder\u00e1 ver como cada medida de dispers\u00e3o \u00e9 calculada. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-las-medidas-de-dispersion\"><\/span> O que s\u00e3o medidas de dispers\u00e3o?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Medidas de dispers\u00e3o<\/strong> s\u00e3o medidas estat\u00edsticas que indicam a dispers\u00e3o de um conjunto de dados. Ou seja, medidas de dispers\u00e3o s\u00e3o utilizadas para avaliar o grau de dispers\u00e3o dos dados em uma amostra.<\/p>\n<p> As medidas de dispers\u00e3o tamb\u00e9m s\u00e3o chamadas de <strong>medidas de variabilidade<\/strong> ou <strong>medidas de dispers\u00e3o<\/strong> . <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcuales-son-las-medidas-de-dispersion\"><\/span> Quais s\u00e3o as medidas de dispers\u00e3o?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> As <strong>medidas de dispers\u00e3o<\/strong> s\u00e3o as seguintes:<\/p>\n<ul>\n<li> Desvio padr\u00e3o (ou desvio padr\u00e3o)<\/li>\n<li> Vari\u00e2ncia<\/li>\n<li> Coeficiente de varia\u00e7\u00e3o<\/li>\n<li> Limpo<\/li>\n<li> Intervalo interquartil<\/li>\n<li> Diferen\u00e7a m\u00e9dia<\/li>\n<\/ul>\n<p> A seguir explica-se como determinar cada medida de dispers\u00e3o.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"desviacion-estandar\"><\/span> Desvio padr\u00e3o<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> O <strong>desvio padr\u00e3o<\/strong> , tamb\u00e9m chamado <strong>de desvio t\u00edpico<\/strong> , \u00e9 igual \u00e0 raiz quadrada da soma dos quadrados dos desvios da s\u00e9rie de dados dividida pelo n\u00famero total de observa\u00e7\u00f5es.<\/p>\n<p> A f\u00f3rmula para esta medida de dispers\u00e3o \u00e9, portanto, a seguinte: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-94d7422dac6b694a42e1dcd6485e681e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\sigma=\\sqrt{\\frac{\\displaystyle\\sum_{i=1}^N(x_i-\\overline{x})^2}{N}}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"152\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Veja:<\/strong> <a href=\"https:\/\/statorials.org\/pt\/desvio-padrao-ou-desvio-padrao\/\">Exemplo de c\u00e1lculo do desvio padr\u00e3o<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"varianza\"><\/span> Vari\u00e2ncia<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> A <strong>vari\u00e2ncia<\/strong> \u00e9 igual \u00e0 soma dos quadrados dos res\u00edduos sobre o n\u00famero total de observa\u00e7\u00f5es. A f\u00f3rmula para esta m\u00e9trica de dispers\u00e3o \u00e9, portanto, a seguinte:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-bb29913eaa58ffb28bbc5b81d6785683_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X)=\\cfrac{\\displaystyle\\sum_{i=1}^n\\left(x_i-\\overline{x}\\right)^2}{n}\" title=\"Rendered by QuickLaTeX.com\" height=\"70\" width=\"189\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Ouro:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:3px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-996ff7036e644e89f8ac379fa58d0cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 a vari\u00e1vel aleat\u00f3ria para a qual voc\u00ea deseja calcular a vari\u00e2ncia.<\/li>\n<li style=\"margin-bottom:3px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-dad27a9703483183e1afd245f5232b83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e9 o valor dos dados<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-31318c5dcb226c69e0818e5f7d2422b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"i\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p> .<\/li>\n<li style=\"margin-bottom:3px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 o n\u00famero total de observa\u00e7\u00f5es.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5b485d4231dfeb4b50ddf271c3abb0b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{X}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 a m\u00e9dia da vari\u00e1vel aleat\u00f3ria<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-996ff7036e644e89f8ac379fa58d0cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p> . <\/li>\n<\/ul>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Veja:<\/strong> <a href=\"https:\/\/statorials.org\/pt\/variacao\/\">Exemplo de c\u00e1lculo de desvio<\/a> <\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"coeficiente-de-variacion\"><\/span> Coeficiente de varia\u00e7\u00e3o<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Nas estat\u00edsticas, o <strong>coeficiente de varia\u00e7\u00e3o<\/strong> \u00e9 uma medida de dispers\u00e3o usada para determinar a dispers\u00e3o de um conjunto de dados em rela\u00e7\u00e3o \u00e0 sua m\u00e9dia. O coeficiente de varia\u00e7\u00e3o \u00e9 calculado dividindo o desvio padr\u00e3o dos dados pela sua m\u00e9dia e depois multiplicando por 100 para expressar o valor em percentagem. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0ebd63772f3bb0853b10b1996c34a5de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"CV=\\cfrac{\\sigma}{\\overline{x}}\\cdot 100\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"104\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Veja:<\/strong> <a href=\"https:\/\/statorials.org\/pt\/coeficiente-de-variacao\/\">Exemplo de c\u00e1lculo do coeficiente de varia\u00e7\u00e3o<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"rango\"><\/span> Limpo<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Faixa<\/strong> \u00e9 uma medida de dispers\u00e3o que indica a diferen\u00e7a entre o valor m\u00e1ximo e m\u00ednimo dos dados em uma amostra. Portanto, para calcular a extens\u00e3o de uma popula\u00e7\u00e3o ou amostra estat\u00edstica, o valor m\u00e1ximo deve ser subtra\u00eddo do valor m\u00ednimo. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-d09e48dfa9b5b1e1fbc30ac856d46166_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"R=\\text{M\\'ax}-\\text{M\\'in}\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"125\" style=\"vertical-align: -1px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Veja:<\/strong> <a href=\"https:\/\/statorials.org\/pt\/intervalo-estatistico\/\">Exemplo de c\u00e1lculo de intervalo<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"rango-intercuartil\"><\/span> Intervalo interquartil<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> O <strong>intervalo interquartil<\/strong> , tamb\u00e9m chamado de <strong>intervalo interquartil<\/strong> , \u00e9 uma medida de dispers\u00e3o estat\u00edstica que indica a diferen\u00e7a entre o terceiro e o primeiro quartis.<\/p>\n<p> Portanto, para calcular o intervalo interquartil de um conjunto de dados estat\u00edsticos, voc\u00ea deve primeiro encontrar o terceiro e o primeiro quartil e depois subtra\u00ed-los.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e77f65ff74b67f18e258e2a273be1d1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"IQR=Q_3-Q_1\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"124\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> O s\u00edmbolo para o intervalo interquartil \u00e9 IQR, do ingl\u00eas <em>interquartil range<\/em> .<\/p>\n<p> Uma das caracter\u00edsticas mais vantajosas desta medida de dispers\u00e3o \u00e9 que ela \u00e9 uma estat\u00edstica robusta, ou seja, possui alta robustez a outliers. Como os valores extremos n\u00e3o s\u00e3o levados em considera\u00e7\u00e3o no c\u00e1lculo do intervalo interquartil, seu valor variar\u00e1 muito pouco caso surjam novos <em>outliers<\/em> . <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Veja:<\/strong> <a href=\"https:\/\/statorials.org\/pt\/intervalo-interquartil-interquartil\/\">Exemplo de c\u00e1lculo do intervalo interquartil<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"desviacion-media\"><\/span> Diferen\u00e7a m\u00e9dia<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> O <strong>desvio m\u00e9dio<\/strong> , tamb\u00e9m chamado <strong>de desvio m\u00e9dio absoluto<\/strong> , \u00e9 a m\u00e9dia dos desvios absolutos. O desvio m\u00e9dio \u00e9, portanto, igual \u00e0 soma dos desvios de cada item de dados da m\u00e9dia aritm\u00e9tica dividida pelo n\u00famero total de itens de dados. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a5342bcc6a35ed68ea8b5cb5da036ff1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"D_{\\overline{x}}=\\cfrac{\\sum_{i=1}^N|x_i-\\overline{x}|}{N}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"154\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Veja:<\/strong> <a href=\"https:\/\/statorials.org\/pt\/diferenca-media\/\">Exemplo de c\u00e1lculo do desvio m\u00e9dio<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfpara-que-sirven-las-medidas-de-dispersion\"><\/span> Para que s\u00e3o utilizadas as medi\u00e7\u00f5es de dispers\u00e3o?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>As medidas de dispers\u00e3o s\u00e3o usadas para avaliar a dispers\u00e3o de uma amostra estat\u00edstica.<\/strong> Ou seja, as medidas de dispers\u00e3o permitem quantificar a dispers\u00e3o de um conjunto de dados e, a partir dos valores obtidos, pode-se analisar a dispers\u00e3o da amostra de dados.<\/p>\n<p> As medidas de dispers\u00e3o s\u00e3o amplamente utilizadas porque ajudam a descrever uma amostra de dados. As medidas de dispers\u00e3o ajudam a compreender a apar\u00eancia de uma s\u00e9rie de dados.<\/p>\n<p> Outras medidas estat\u00edsticas que tamb\u00e9m s\u00e3o frequentemente calculadas s\u00e3o medidas de tend\u00eancia central e medidas de posi\u00e7\u00e3o. Normalmente, uma \u00fanica medi\u00e7\u00e3o estat\u00edstica n\u00e3o \u00e9 determinada, mas sim m\u00faltiplas medi\u00e7\u00f5es para entender melhor a apar\u00eancia dos dados que est\u00e3o sendo estudados.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Neste artigo, voc\u00ea aprender\u00e1 o que s\u00e3o medidas de dispers\u00e3o e para que servem essas m\u00e9tricas estat\u00edsticas. Al\u00e9m disso, voc\u00ea poder\u00e1 ver como cada medida de dispers\u00e3o \u00e9 calculada. O que s\u00e3o medidas de dispers\u00e3o? Medidas de dispers\u00e3o s\u00e3o medidas estat\u00edsticas que indicam a dispers\u00e3o de um conjunto de dados. Ou seja, medidas de dispers\u00e3o [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-92","post","type-post","status-publish","format-standard","hentry","category-estatisticas"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Quais s\u00e3o as medidas de dispers\u00e3o?<\/title>\n<meta name=\"description\" content=\"Aqui explicamos o que s\u00e3o medidas de dispers\u00e3o, para que servem as medidas de dispers\u00e3o e como cada medida de dispers\u00e3o \u00e9 calculada.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/pt\/medicoes-de-dispersao\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Quais s\u00e3o as medidas de dispers\u00e3o?\" \/>\n<meta property=\"og:description\" content=\"Aqui explicamos o que s\u00e3o medidas de dispers\u00e3o, para que servem as medidas de dispers\u00e3o e como cada medida de dispers\u00e3o \u00e9 calculada.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/medicoes-de-dispersao\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-05T13:21:16+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-94d7422dac6b694a42e1dcd6485e681e_l3.png\" \/>\n<meta name=\"author\" content=\"Dr. benjamim anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr. benjamim anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tempo estimado de leitura\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pt\/medicoes-de-dispersao\/\",\"url\":\"https:\/\/statorials.org\/pt\/medicoes-de-dispersao\/\",\"name\":\"\u25b7 Quais s\u00e3o as medidas de dispers\u00e3o?\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-08-05T13:21:16+00:00\",\"dateModified\":\"2023-08-05T13:21:16+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Aqui explicamos o que s\u00e3o medidas de dispers\u00e3o, para que servem as medidas de dispers\u00e3o e como cada medida de dispers\u00e3o \u00e9 calculada.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/medicoes-de-dispersao\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/medicoes-de-dispersao\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/medicoes-de-dispersao\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Medi\u00e7\u00f5es de dispers\u00e3o\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/pt\/#website\",\"url\":\"https:\/\/statorials.org\/pt\/\",\"name\":\"Statorials\",\"description\":\"O seu guia para a literacia estat\u00edstica!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/pt\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pt-PT\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\",\"name\":\"Dr. benjamim anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pt-PT\",\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/pt\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/pt\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr. benjamim anderson\"},\"description\":\"Ol\u00e1, sou Benjamin, um professor aposentado de estat\u00edstica que se tornou professor dedicado na Statorials. 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