{"id":412,"date":"2023-07-30T08:00:52","date_gmt":"2023-07-30T08:00:52","guid":{"rendered":"https:\/\/statorials.org\/pt\/a-distribuicao-normal\/"},"modified":"2023-07-30T08:00:52","modified_gmt":"2023-07-30T08:00:52","slug":"a-distribuicao-normal","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/a-distribuicao-normal\/","title":{"rendered":"A distribui\u00e7\u00e3o normal"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">A <strong>distribui\u00e7\u00e3o normal<\/strong> \u00e9 a distribui\u00e7\u00e3o de probabilidade mais comum nas estat\u00edsticas.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-952 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/liste_normale.png\" alt=\"\" width=\"838\" height=\"354\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">As distribui\u00e7\u00f5es normais t\u00eam as seguintes caracter\u00edsticas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Formato de sino<\/span><\/li>\n<li> <a href=\"https:\/\/statorials.org\/pt\/distribuicao-simetrica-1\/\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #000000;\">Sim\u00e9trico<\/span><\/a><\/li>\n<li> <span style=\"color: #000000;\">A m\u00e9dia e a mediana s\u00e3o iguais; ambos est\u00e3o localizados no centro da distribui\u00e7\u00e3o<\/span><\/li>\n<li> <span style=\"color: #000000;\">Cerca de 68% dos dados est\u00e3o dentro de um desvio padr\u00e3o da m\u00e9dia<\/span><\/li>\n<li> <span style=\"color: #000000;\">Cerca de 95% dos dados est\u00e3o dentro de dois desvios padr\u00e3o da m\u00e9dia.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Cerca de 99,7% dos dados est\u00e3o dentro de tr\u00eas desvios padr\u00e3o da m\u00e9dia.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Os \u00faltimos tr\u00eas pontos s\u00e3o conhecidos como <strong>regra pr\u00e1tica<\/strong> , \u00e0s vezes chamada <strong>de regra 68-95-99,7<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Relacionado:<\/strong> <a href=\"https:\/\/statorials.org\/pt\/problemas-empiricos-de-regras-praticas\/\">Regra pr\u00e1tica (quest\u00f5es pr\u00e1ticas)<\/a><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Como desenhar uma curva normal<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Para desenhar uma curva normal, precisamos saber a m\u00e9dia e o desvio padr\u00e3o.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Exemplo 1:<\/strong> <em><strong>Suponha que a altura dos homens em uma determinada escola seja normalmente distribu\u00edda com m\u00e9dia de <span aria-hidden=\"true\" aria-describedby=\"katex-7\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">\u03bc<\/span> <span class=\"mrel\">= 70 polegadas e<\/span><\/span><\/span><\/span><\/span> desvio padr\u00e3o de <span aria-hidden=\"true\" aria-describedby=\"katex-8\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">\u03c3 = 2 polegadas. Esboce a curva normal.<\/span><\/span><\/span><\/span><\/span><\/strong><\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Etapa 1:<\/strong> esboce uma curva normal.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Passo 2:<\/strong> A m\u00e9dia de 70 polegadas fica no meio.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Etapa 3:<\/strong> Cada desvio padr\u00e3o corresponde a uma dist\u00e2ncia de 2 polegadas.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-955 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normaldist1.png\" alt=\"\" width=\"510\" height=\"356\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Exemplo 2:<\/strong> <em><strong>Suponha que o peso de uma certa esp\u00e9cie de lontra seja normalmente distribu\u00eddo com m\u00e9dia <span aria-hidden=\"true\" aria-describedby=\"katex-7\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">\u03bc<\/span> <span class=\"mrel\">= 30 lb e<\/span><\/span><\/span><\/span><\/span> desvio padr\u00e3o de <span aria-hidden=\"true\" aria-describedby=\"katex-8\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">\u03c3 = 5 lb. Esboce a curva normal.<\/span><\/span><\/span><\/span><\/span><\/strong><\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Etapa 1:<\/strong> esboce uma curva normal.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Passo 2:<\/strong> A m\u00e9dia de 30 libras fica no meio.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Etapa 3:<\/strong> cada desvio padr\u00e3o corresponde a uma dist\u00e2ncia de 5 libras<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-956 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normaldist2.png\" alt=\"\" width=\"506\" height=\"330\" srcset=\"\" sizes=\"auto, \"><br \/> <strong>Como encontrar porcentagens usando a distribui\u00e7\u00e3o normal<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A <strong>regra pr\u00e1tica<\/strong> , \u00e0s vezes chamada <strong>de regra 68-95-99,7<\/strong> , afirma que, para uma vari\u00e1vel aleat\u00f3ria normalmente distribu\u00edda, 68% dos dados est\u00e3o dentro do intervalo de um desvio padr\u00e3o da m\u00e9dia, 95% est\u00e3o dentro do intervalo de dois desvios padr\u00e3o. desvios da m\u00e9dia e 99,7% est\u00e3o dentro de tr\u00eas desvios padr\u00e3o da m\u00e9dia.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-952 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/liste_normale.png\" alt=\"\" width=\"838\" height=\"354\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Usando esta regra podemos responder perguntas sobre porcentagens.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Exemplo:<\/strong><\/span> <span style=\"color: #000000;\"><em><strong>Suponha que a altura dos homens em uma determinada escola seja normalmente distribu\u00edda com m\u00e9dia <span aria-hidden=\"true\" aria-describedby=\"katex-7\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">\u03bc<\/span> <span class=\"mrel\">= 70 polegadas e<\/span><\/span><\/span><\/span><\/span> desvio padr\u00e3o de <span aria-hidden=\"true\" aria-describedby=\"katex-8\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">\u03c3 = 2 polegadas.<\/span><\/span><\/span><\/span><\/span><\/strong><\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\"><em><strong><span aria-hidden=\"true\" aria-describedby=\"katex-8\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">Aproximadamente que porcentagem de homens nesta escola tem mais de 74 polegadas de altura?<\/span><\/span><\/span><\/span><\/span><\/strong><\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Solu\u00e7\u00e3o:<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Etapa 1:<\/strong> esboce uma distribui\u00e7\u00e3o normal com m\u00e9dia de <span aria-hidden=\"true\" aria-describedby=\"katex-7\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">\u03bc<\/span> <span class=\"mrel\">= 70 polegadas e<\/span><\/span><\/span><\/span><\/span> desvio padr\u00e3o de <span aria-hidden=\"true\" aria-describedby=\"katex-8\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">\u03c3 = 2 polegadas.<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">Etapa 2:<\/span><\/strong> <span style=\"color: #000000;\">uma altura de 74 polegadas est\u00e1 dois desvios padr\u00e3o acima da m\u00e9dia. Adicione as porcentagens acima deste ponto \u00e0 distribui\u00e7\u00e3o normal.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-959 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normaldist3-1.png\" alt=\"\" width=\"512\" height=\"334\" srcset=\"\" sizes=\"auto, \"><br \/> <span style=\"color: #000000;\">2,35% + 0,15% = <strong>2,5%<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Cerca de <strong>2,5%<\/strong> dos homens nesta escola t\u00eam mais de 74 cent\u00edmetros de altura.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em><strong><span aria-hidden=\"true\" aria-describedby=\"katex-8\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">Aproximadamente que porcentagem de homens nesta escola tem entre 68 e 72 polegadas de altura?<\/span><\/span><\/span><\/span><\/span><\/strong><\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Solu\u00e7\u00e3o:<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Etapa 1:<\/strong> esboce uma distribui\u00e7\u00e3o normal com m\u00e9dia de <span aria-hidden=\"true\" aria-describedby=\"katex-7\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">\u03bc<\/span> <span class=\"mrel\">= 70 polegadas e<\/span><\/span><\/span><\/span><\/span> desvio padr\u00e3o de <span aria-hidden=\"true\" aria-describedby=\"katex-8\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">\u03c3 = 2 polegadas.<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">Etapa 2:<\/span><\/strong> <span style=\"color: #000000;\">uma altura de 68 polegadas e 72 polegadas est\u00e1 um desvio padr\u00e3o abaixo e acima da m\u00e9dia, respectivamente. Basta somar as porcentagens entre esses dois pontos na distribui\u00e7\u00e3o normal.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-961 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normaldist4.png\" alt=\"\" width=\"504\" height=\"332\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">34% + 34% = <strong>68%<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Cerca de <strong>68%<\/strong> dos homens nesta escola t\u00eam entre 68 e 72 polegadas de altura.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">Como encontrar contagens usando a distribui\u00e7\u00e3o normal<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Tamb\u00e9m podemos utilizar a regra pr\u00e1tica para responder a perguntas sobre contagens.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Exemplo: <em><strong>Suponha que o peso de uma certa esp\u00e9cie de lontra seja normalmente distribu\u00eddo com m\u00e9dia <span aria-hidden=\"true\" aria-describedby=\"katex-7\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">\u03bc<\/span> <span class=\"mrel\">= 30 lb e<\/span><\/span><\/span><\/span><\/span> desvio padr\u00e3o de <span aria-hidden=\"true\" aria-describedby=\"katex-8\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">\u03c3 = 5 lb.<\/span><\/span><\/span><\/span><\/span><\/strong><\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\"><em><strong>Uma certa col\u00f4nia tem 200 dessas lontras. Aproximadamente quantas dessas lontras pesam mais de 35 quilos?<\/strong><\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Solu\u00e7\u00e3o:<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Etapa 1:<\/strong> esboce uma distribui\u00e7\u00e3o normal com m\u00e9dia de <span aria-hidden=\"true\" aria-describedby=\"katex-7\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">\u03bc<\/span> <span class=\"mrel\">= 30 lb e<\/span><\/span><\/span><\/span><\/span> desvio padr\u00e3o de <span aria-hidden=\"true\" aria-describedby=\"katex-8\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">\u03c3 = 5 lb.<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">Passo 2:<\/span><\/strong> <span style=\"color: #000000;\">Um peso de 35 libras est\u00e1 um desvio padr\u00e3o acima da m\u00e9dia. Adicione as porcentagens acima deste ponto \u00e0 distribui\u00e7\u00e3o normal.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-964 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normaldiste5.png\" alt=\"\" width=\"508\" height=\"333\" srcset=\"\" sizes=\"auto, \"><br \/> <span style=\"color: #000000;\">13,5% + 2,35% + 0,15% = <strong>16%<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Passo 3:<\/strong> Como existem 200 lontras na col\u00f4nia, 16% de 200 = 0,16 * 200 = <strong>32<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Cerca de 32 lontras nesta col\u00f4nia pesam mais de 35 quilos.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em><strong>Aproximadamente quantas lontras nesta col\u00f4nia pesam menos de 30 libras?<\/strong><\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\">Em vez de seguir todos os passos que acab\u00e1mos de seguir acima, podemos reconhecer que a mediana de uma distribui\u00e7\u00e3o normal \u00e9 igual \u00e0 m\u00e9dia, que neste caso \u00e9 de 30 libras.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Isso significa que metade das lontras pesa mais de 30 quilos e a outra metade pesa menos de 30 quilos. Isso significa que 50% das 200 lontras pesam menos de 30 libras, ent\u00e3o 0,5 * 200 = <strong>100 lontras<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Os tutoriais a seguir fornecem informa\u00e7\u00f5es adicionais sobre a distribui\u00e7\u00e3o normal:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/pt\/exemplo-de-distribuicao-normal\/\" target=\"_blank\" rel=\"noopener\">6 exemplos concretos da distribui\u00e7\u00e3o normal<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/distribuicao-normal-vs-distribuicao-t\/\" target=\"_blank\" rel=\"noopener\">Distribui\u00e7\u00e3o normal vs distribui\u00e7\u00e3o t: a diferen\u00e7a<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/curva-de-sino-excel\/\" target=\"_blank\" rel=\"noopener noreferrer\">Como criar uma curva em forma de sino no Excel<\/a><br \/><a href=\"https:\/\/statorials.org\/pt\/curva-de-sino-python\/\" target=\"_blank\" rel=\"noopener noreferrer\">Como criar uma curva em forma de sino em Python<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A distribui\u00e7\u00e3o normal \u00e9 a distribui\u00e7\u00e3o de probabilidade mais comum nas estat\u00edsticas. As distribui\u00e7\u00f5es normais t\u00eam as seguintes caracter\u00edsticas: Formato de sino Sim\u00e9trico A m\u00e9dia e a mediana s\u00e3o iguais; ambos est\u00e3o localizados no centro da distribui\u00e7\u00e3o Cerca de 68% dos dados est\u00e3o dentro de um desvio padr\u00e3o da m\u00e9dia Cerca de 95% dos dados [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-412","post","type-post","status-publish","format-standard","hentry","category-guia"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>A distribui\u00e7\u00e3o normal - Statorials<\/title>\n<meta name=\"description\" content=\"Uma explica\u00e7\u00e3o simples da distribui\u00e7\u00e3o normal acompanhada de v\u00e1rios exemplos.\" \/>\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\/a-distribuicao-normal\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A distribui\u00e7\u00e3o normal - Statorials\" \/>\n<meta property=\"og:description\" content=\"Uma explica\u00e7\u00e3o simples da distribui\u00e7\u00e3o normal acompanhada de v\u00e1rios exemplos.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/a-distribuicao-normal\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-30T08:00:52+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/liste_normale.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\/a-distribuicao-normal\/\",\"url\":\"https:\/\/statorials.org\/pt\/a-distribuicao-normal\/\",\"name\":\"A distribui\u00e7\u00e3o normal - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-30T08:00:52+00:00\",\"dateModified\":\"2023-07-30T08:00:52+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Uma explica\u00e7\u00e3o simples da distribui\u00e7\u00e3o normal acompanhada de v\u00e1rios exemplos.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/a-distribuicao-normal\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/a-distribuicao-normal\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/a-distribuicao-normal\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"A distribui\u00e7\u00e3o normal\"}]},{\"@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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