{"id":1651,"date":"2023-07-25T12:33:47","date_gmt":"2023-07-25T12:33:47","guid":{"rendered":"https:\/\/statorials.org\/pt\/distribuicao-normal-vs-distribuicao-normal-padrao\/"},"modified":"2023-07-25T12:33:47","modified_gmt":"2023-07-25T12:33:47","slug":"distribuicao-normal-vs-distribuicao-normal-padrao","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/distribuicao-normal-vs-distribuicao-normal-padrao\/","title":{"rendered":"Distribui\u00e7\u00e3o normal e distribui\u00e7\u00e3o normal padr\u00e3o: a diferen\u00e7a"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">A <a href=\"https:\/\/statorials.org\/pt\/a-distribuicao-normal\/\" target=\"_blank\" rel=\"noopener\">distribui\u00e7\u00e3o normal<\/a> \u00e9 a distribui\u00e7\u00e3o de probabilidade mais comumente usada em estat\u00edsticas.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Possui as seguintes propriedades:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/pt\/distribuicao-simetrica-1\/\" target=\"_blank\" rel=\"noopener\">Sim\u00e9trico<\/a><\/span><\/li>\n<li> <span style=\"color: #000000;\">Em forma de sino<\/span><\/li>\n<li> <span style=\"color: #000000;\">A m\u00e9dia e a mediana s\u00e3o iguais; ambos localizados no centro da distribui\u00e7\u00e3o<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A m\u00e9dia da distribui\u00e7\u00e3o normal determina a sua localiza\u00e7\u00e3o e o desvio padr\u00e3o determina a sua propaga\u00e7\u00e3o.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Por exemplo, o gr\u00e1fico a seguir mostra tr\u00eas distribui\u00e7\u00f5es normais com diferentes m\u00e9dias e desvios padr\u00e3o:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16281 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standardnorme2-1.png\" alt=\"\" width=\"518\" height=\"394\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>A distribui\u00e7\u00e3o normal padr\u00e3o \u00e9 um tipo espec\u00edfico de distribui\u00e7\u00e3o normal onde a m\u00e9dia \u00e9 0 e o desvio padr\u00e3o \u00e9 1.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">O gr\u00e1fico a seguir mostra uma distribui\u00e7\u00e3o normal padr\u00e3o:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-16282\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standardnorme3.png\" alt=\"Exemplo de distribui\u00e7\u00e3o normal padr\u00e3o\" width=\"505\" height=\"375\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Como converter uma distribui\u00e7\u00e3o normal em uma distribui\u00e7\u00e3o normal padr\u00e3o<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Qualquer distribui\u00e7\u00e3o normal pode ser convertida em uma distribui\u00e7\u00e3o normal padr\u00e3o convertendo os valores dos dados em escores z, usando a seguinte f\u00f3rmula:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>z = (x \u2013 \u03bc) \/ \u03c3<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Ouro:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x:<\/strong> valor dos dados individuais<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03bc:<\/strong> M\u00e9dia da distribui\u00e7\u00e3o<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03c3:<\/strong> Desvio padr\u00e3o da distribui\u00e7\u00e3o<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Por exemplo, suponha que temos o seguinte conjunto de dados com m\u00e9dia 6 e desvio padr\u00e3o de 2,152:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16284 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standardnorme4.png\" alt=\"\" width=\"96\" height=\"438\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Podemos converter cada valor de dados individual em uma pontua\u00e7\u00e3o z subtraindo 6 de cada valor e dividindo por 2,152:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-16283\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standardnorme5.png\" alt=\"Converter uma distribui\u00e7\u00e3o normal em uma distribui\u00e7\u00e3o normal padr\u00e3o\" width=\"184\" height=\"454\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">O <strong>escore z<\/strong> nos diz quantos desvios padr\u00e3o cada ponto de dados est\u00e1 da m\u00e9dia. Por exemplo, o primeiro valor de dados \u201c3\u201d est\u00e1 1,39 desvios padr\u00e3o abaixo da m\u00e9dia.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A m\u00e9dia dessa distribui\u00e7\u00e3o de pontua\u00e7\u00f5es tem m\u00e9dia zero e desvio padr\u00e3o de um.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Como usar a distribui\u00e7\u00e3o normal padr\u00e3o<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Uma distribui\u00e7\u00e3o normal padr\u00e3o tem as seguintes propriedades:<\/span><\/p>\n<ul>\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><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-952 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/liste_normale.png\" alt=\"\" width=\"651\" height=\"275\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Isso \u00e9 conhecido como <strong>regra pr\u00e1tica<\/strong> e \u00e9 usado para entender a distribui\u00e7\u00e3o de valores em um conjunto de dados.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Por exemplo, suponha que a altura das plantas em um determinado jardim seja normalmente distribu\u00edda com m\u00e9dia de 47,4 polegadas e desvio padr\u00e3o de 2,4 polegadas.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>Usando a regra pr\u00e1tica, que porcentagem de plantas tem menos de 54,6 polegadas de altura?<\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\">A regra pr\u00e1tica afirma que, para um determinado conjunto de dados com distribui\u00e7\u00e3o normal, 99,7% dos valores dos dados est\u00e3o dentro de tr\u00eas desvios padr\u00e3o da m\u00e9dia. Isso significa que 49,85% dos valores ficam entre a m\u00e9dia e tr\u00eas desvios padr\u00e3o acima da m\u00e9dia.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Neste exemplo, 54,6 est\u00e1 tr\u00eas desvios padr\u00e3o acima da m\u00e9dia. Como sabemos que 50% dos valores dos dados s\u00e3o menores que a m\u00e9dia em uma distribui\u00e7\u00e3o normal, um total de 50% + 49,85% = 99,85% dos valores s\u00e3o menores que 54,6.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Portanto, <strong>99,85%<\/strong> das plantas t\u00eam menos de 54,6 cent\u00edmetros de altura.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/pt\/problemas-empiricos-de-regras-praticas\/\" target=\"_blank\" rel=\"noopener\">Problemas na pr\u00e1tica de regras pr\u00e1ticas<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/calculadora-de-regras-praticas\/\" target=\"_blank\" rel=\"noopener\">Calculadora de regras pr\u00e1ticas<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/regra-pratica-do-excel\/\" target=\"_blank\" rel=\"noopener\">Como aplicar a regra pr\u00e1tica no Excel<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A distribui\u00e7\u00e3o normal \u00e9 a distribui\u00e7\u00e3o de probabilidade mais comumente usada em estat\u00edsticas. Possui as seguintes propriedades: Sim\u00e9trico Em forma de sino A m\u00e9dia e a mediana s\u00e3o iguais; ambos localizados no centro da distribui\u00e7\u00e3o A m\u00e9dia da distribui\u00e7\u00e3o normal determina a sua localiza\u00e7\u00e3o e o desvio padr\u00e3o determina a sua propaga\u00e7\u00e3o. Por exemplo, o [&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-1651","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>Distribui\u00e7\u00e3o normal e distribui\u00e7\u00e3o normal padr\u00e3o: a diferen\u00e7a<\/title>\n<meta name=\"description\" content=\"Este tutorial explica a diferen\u00e7a entre a distribui\u00e7\u00e3o normal e a distribui\u00e7\u00e3o normal padr\u00e3o, com 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\/distribuicao-normal-vs-distribuicao-normal-padrao\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Distribui\u00e7\u00e3o normal e distribui\u00e7\u00e3o normal padr\u00e3o: a diferen\u00e7a\" \/>\n<meta property=\"og:description\" content=\"Este tutorial explica a diferen\u00e7a entre a distribui\u00e7\u00e3o normal e a distribui\u00e7\u00e3o normal padr\u00e3o, com v\u00e1rios exemplos.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/distribuicao-normal-vs-distribuicao-normal-padrao\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-25T12:33:47+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standardnorme2-1.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=\"3 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pt\/distribuicao-normal-vs-distribuicao-normal-padrao\/\",\"url\":\"https:\/\/statorials.org\/pt\/distribuicao-normal-vs-distribuicao-normal-padrao\/\",\"name\":\"Distribui\u00e7\u00e3o normal e distribui\u00e7\u00e3o normal padr\u00e3o: a diferen\u00e7a\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-25T12:33:47+00:00\",\"dateModified\":\"2023-07-25T12:33:47+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Este tutorial explica a diferen\u00e7a entre a distribui\u00e7\u00e3o normal e a distribui\u00e7\u00e3o normal padr\u00e3o, com v\u00e1rios exemplos.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/distribuicao-normal-vs-distribuicao-normal-padrao\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/distribuicao-normal-vs-distribuicao-normal-padrao\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/distribuicao-normal-vs-distribuicao-normal-padrao\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Distribui\u00e7\u00e3o normal e distribui\u00e7\u00e3o normal padr\u00e3o: a diferen\u00e7a\"}]},{\"@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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