{"id":1685,"date":"2023-07-25T09:25:33","date_gmt":"2023-07-25T09:25:33","guid":{"rendered":"https:\/\/statorials.org\/pt\/converter-pontuacao-z-em-pontuacao-bruta\/"},"modified":"2023-07-25T09:25:33","modified_gmt":"2023-07-25T09:25:33","slug":"converter-pontuacao-z-em-pontuacao-bruta","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/converter-pontuacao-z-em-pontuacao-bruta\/","title":{"rendered":"Como converter pontua\u00e7\u00f5es z em pontua\u00e7\u00f5es brutas (passo a passo)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Uma <strong>pontua\u00e7\u00e3o z<\/strong> nos diz quantos desvios padr\u00e3o um valor est\u00e1 da m\u00e9dia. Usamos a seguinte f\u00f3rmula para calcular uma pontua\u00e7\u00e3o z:<\/span><\/p>\n<blockquote>\n<p> <strong><span style=\"color: #000000;\">Pontua\u00e7\u00e3o Z =<\/span><\/strong> <strong><span style=\"color: #000000;\">(x \u2013 \u03bc) \/ \u03c3<\/span><\/strong><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">Ouro:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x:<\/strong> um valor de dados brutos<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03bc:<\/strong> a m\u00e9dia do conjunto de dados<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03c3:<\/strong> o desvio padr\u00e3o do conjunto de dados<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Para converter uma pontua\u00e7\u00e3o z em uma pontua\u00e7\u00e3o bruta (ou \u201cvalor de dados brutos\u201d), podemos usar a seguinte f\u00f3rmula:<\/span><\/p>\n<blockquote>\n<p> <strong><span style=\"color: #000000;\">Pontua\u00e7\u00e3o bruta =<\/span><\/strong> <strong><span style=\"color: #000000;\">\u03bc + z\u03c3<\/span><\/strong><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">Os exemplos a seguir mostram como converter pontua\u00e7\u00f5es z em pontua\u00e7\u00f5es brutas na pr\u00e1tica.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Exemplo 1: renda anual<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Em uma determinada cidade, a renda familiar m\u00e9dia anual \u00e9 de US$ 45.000,00 com um desvio padr\u00e3o de US$ 6.000,00.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Suponha que uma determinada fam\u00edlia tenha uma renda anual com pontua\u00e7\u00e3o z de 1,5. Qual \u00e9 a renda anual deles?<\/span><\/p>\n<p> <span style=\"color: #000000;\">Para resolver este problema, podemos usar a f\u00f3rmula de pontua\u00e7\u00e3o bruta:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Pontua\u00e7\u00e3o bruta = \u03bc + z\u03c3<\/span><\/li>\n<li> <span style=\"color: #000000;\">Pontua\u00e7\u00e3o bruta = US$ 45.000 + 1,5*US$ 6.000<\/span><\/li>\n<li> <span style=\"color: #000000;\">Grande pontua\u00e7\u00e3o = $ 54.000<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Uma fam\u00edlia com pontua\u00e7\u00e3o z de 1,5 tem uma renda anual de <strong>US$ 54.000<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Exemplo 2: resultados do exame<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Para um determinado exame de matem\u00e1tica, a pontua\u00e7\u00e3o m\u00e9dia \u00e9 81 com desvio padr\u00e3o de 5.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Suponha que um determinado aluno tenha uma nota no exame com pontua\u00e7\u00e3o z de -2. Qual \u00e9 a pontua\u00e7\u00e3o do exame?<\/span><\/p>\n<p> <span style=\"color: #000000;\">Para resolver este problema, podemos usar a f\u00f3rmula de pontua\u00e7\u00e3o bruta:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Pontua\u00e7\u00e3o bruta = \u03bc + z\u03c3<\/span><\/li>\n<li> <span style=\"color: #000000;\">Pontua\u00e7\u00e3o bruta = 81+ (-2)*5<\/span><\/li>\n<li> <span style=\"color: #000000;\">Pontua\u00e7\u00e3o bruta = 71<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Um aluno com pontua\u00e7\u00e3o z de -2 recebeu nota <strong>71<\/strong> no exame.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Exemplo 3: Alturas das plantas<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A altura m\u00e9dia de uma determinada esp\u00e9cie de planta \u00e9 de 20 cent\u00edmetros, com desvio padr\u00e3o de 1,2 cent\u00edmetros.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Suponha que uma determinada planta tenha uma altura com pontua\u00e7\u00e3o z de 0. Qual \u00e9 a altura desta planta?<\/span><\/p>\n<p> <span style=\"color: #000000;\">Para resolver este problema, podemos usar a f\u00f3rmula de pontua\u00e7\u00e3o bruta:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Pontua\u00e7\u00e3o bruta = \u03bc + z\u03c3<\/span><\/li>\n<li> <span style=\"color: #000000;\">Pontua\u00e7\u00e3o bruta = 8+ 0*5<\/span><\/li>\n<li> <span style=\"color: #000000;\">Pontua\u00e7\u00e3o bruta = 8<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Uma planta com pontua\u00e7\u00e3o z de 0 tem <strong>20<\/strong> 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\/interpretar-pontuacoes-z\/\" target=\"_blank\" rel=\"noopener\">Como interpretar pontua\u00e7\u00f5es Z: com exemplos<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/exemplos-reais-de-pontuacao-z\/\" target=\"_blank\" rel=\"noopener\">5 exemplos de uso de pontua\u00e7\u00f5es Z na vida real<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Uma pontua\u00e7\u00e3o z nos diz quantos desvios padr\u00e3o um valor est\u00e1 da m\u00e9dia. Usamos a seguinte f\u00f3rmula para calcular uma pontua\u00e7\u00e3o z: Pontua\u00e7\u00e3o Z = (x \u2013 \u03bc) \/ \u03c3 Ouro: x: um valor de dados brutos \u03bc: a m\u00e9dia do conjunto de dados \u03c3: o desvio padr\u00e3o do conjunto de dados Para converter uma [&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-1685","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>Como converter pontua\u00e7\u00f5es Z em pontua\u00e7\u00f5es brutas (passo a passo)<\/title>\n<meta name=\"description\" content=\"Este tutorial explica como converter pontua\u00e7\u00f5es z em pontua\u00e7\u00f5es brutas, com v\u00e1rios exemplos passo a passo.\" \/>\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\/converter-pontuacao-z-em-pontuacao-bruta\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Como converter pontua\u00e7\u00f5es Z em pontua\u00e7\u00f5es brutas (passo a passo)\" \/>\n<meta property=\"og:description\" content=\"Este tutorial explica como converter pontua\u00e7\u00f5es z em pontua\u00e7\u00f5es brutas, com v\u00e1rios exemplos passo a passo.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/converter-pontuacao-z-em-pontuacao-bruta\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-25T09:25:33+00:00\" \/>\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=\"2 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pt\/converter-pontuacao-z-em-pontuacao-bruta\/\",\"url\":\"https:\/\/statorials.org\/pt\/converter-pontuacao-z-em-pontuacao-bruta\/\",\"name\":\"Como converter pontua\u00e7\u00f5es Z em pontua\u00e7\u00f5es brutas (passo a passo)\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-25T09:25:33+00:00\",\"dateModified\":\"2023-07-25T09:25:33+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Este tutorial explica como converter pontua\u00e7\u00f5es z em pontua\u00e7\u00f5es brutas, com v\u00e1rios exemplos passo a passo.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/converter-pontuacao-z-em-pontuacao-bruta\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/converter-pontuacao-z-em-pontuacao-bruta\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/converter-pontuacao-z-em-pontuacao-bruta\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Como converter pontua\u00e7\u00f5es z em pontua\u00e7\u00f5es brutas (passo a passo)\"}]},{\"@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. Com vasta experi\u00eancia e conhecimento na \u00e1rea de estat\u00edstica, estou empenhado em compartilhar meu conhecimento para capacitar os alunos por meio de Statorials. Saber mais\",\"sameAs\":[\"https:\/\/statorials.org\/pt\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Como converter pontua\u00e7\u00f5es Z em pontua\u00e7\u00f5es brutas (passo a passo)","description":"Este tutorial explica como converter pontua\u00e7\u00f5es z em pontua\u00e7\u00f5es brutas, com v\u00e1rios exemplos passo a passo.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/statorials.org\/pt\/converter-pontuacao-z-em-pontuacao-bruta\/","og_locale":"pt_PT","og_type":"article","og_title":"Como converter pontua\u00e7\u00f5es Z em pontua\u00e7\u00f5es brutas (passo a passo)","og_description":"Este tutorial explica como converter pontua\u00e7\u00f5es z em pontua\u00e7\u00f5es brutas, com v\u00e1rios exemplos passo a passo.","og_url":"https:\/\/statorials.org\/pt\/converter-pontuacao-z-em-pontuacao-bruta\/","og_site_name":"Statorials","article_published_time":"2023-07-25T09:25:33+00:00","author":"Dr. benjamim anderson","twitter_card":"summary_large_image","twitter_misc":{"Escrito por":"Dr. benjamim anderson","Tempo estimado de leitura":"2 minutos"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/pt\/converter-pontuacao-z-em-pontuacao-bruta\/","url":"https:\/\/statorials.org\/pt\/converter-pontuacao-z-em-pontuacao-bruta\/","name":"Como converter pontua\u00e7\u00f5es Z em pontua\u00e7\u00f5es brutas (passo a passo)","isPartOf":{"@id":"https:\/\/statorials.org\/pt\/#website"},"datePublished":"2023-07-25T09:25:33+00:00","dateModified":"2023-07-25T09:25:33+00:00","author":{"@id":"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666"},"description":"Este tutorial explica como converter pontua\u00e7\u00f5es z em pontua\u00e7\u00f5es brutas, com v\u00e1rios exemplos passo a passo.","breadcrumb":{"@id":"https:\/\/statorials.org\/pt\/converter-pontuacao-z-em-pontuacao-bruta\/#breadcrumb"},"inLanguage":"pt-PT","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/pt\/converter-pontuacao-z-em-pontuacao-bruta\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/pt\/converter-pontuacao-z-em-pontuacao-bruta\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Lar","item":"https:\/\/statorials.org\/pt\/"},{"@type":"ListItem","position":2,"name":"Como converter pontua\u00e7\u00f5es z em pontua\u00e7\u00f5es brutas (passo a passo)"}]},{"@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. Com vasta experi\u00eancia e conhecimento na \u00e1rea de estat\u00edstica, estou empenhado em compartilhar meu conhecimento para capacitar os alunos por meio de Statorials. Saber mais","sameAs":["https:\/\/statorials.org\/pt"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/posts\/1685","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/comments?post=1685"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/posts\/1685\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/media?parent=1685"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/categories?post=1685"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/tags?post=1685"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}