{"id":728,"date":"2023-07-28T23:09:11","date_gmt":"2023-07-28T23:09:11","guid":{"rendered":"https:\/\/statorials.org\/pt\/como-usar-a-tabela-z\/"},"modified":"2023-07-28T23:09:11","modified_gmt":"2023-07-28T23:09:11","slug":"como-usar-a-tabela-z","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/como-usar-a-tabela-z\/","title":{"rendered":"Como usar a tabela z (com exemplos)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Uma tabela z \u00e9 uma tabela que informa qual porcentagem de valores fica abaixo de uma determinada pontua\u00e7\u00e3o z em uma distribui\u00e7\u00e3o normal padr\u00e3o.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Uma pontua\u00e7\u00e3o z simplesmente informa quantos desvios padr\u00e3o um valor de dados individual cai da m\u00e9dia. \u00c9 calculado da seguinte forma:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>pontua\u00e7\u00e3o 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 de dados individuais<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03bc:<\/strong> m\u00e9dia populacional<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03c3:<\/strong> desvio padr\u00e3o populacional<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Este tutorial mostra v\u00e1rios exemplos de uso da tabela z.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">Exemplo 1<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">As notas em um determinado vestibular t\u00eam distribui\u00e7\u00e3o normal com m\u00e9dia <span style=\"color: #000000;\">\u03bc = 82 e desvio padr\u00e3o \u03c3 = 8. Aproximadamente qual porcentagem de alunos tem pontua\u00e7\u00e3o abaixo de 84 no exame?<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Etapa 1: Encontre a pontua\u00e7\u00e3o z.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Primeiro, encontraremos a pontua\u00e7\u00e3o z associada a uma pontua\u00e7\u00e3o de exame de 84:<\/span><\/p>\n<p> <span style=\"color: #000000;\">pontua\u00e7\u00e3o z = (x &#8211; \u03bc) \/ \u03c3 = (84 &#8211; 82) \/ 8 = 2\/8 = <strong>0,25<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Passo 2: Use o gr\u00e1fico z para encontrar a porcentagem que corresponde \u00e0 pontua\u00e7\u00e3o z.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">A seguir, procuraremos o valor <strong>0,25<\/strong> na tabela z:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7555 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ztable1.png\" alt=\"Exemplo de leitura da tabela z\" width=\"616\" height=\"350\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Cerca de <strong>59,87%<\/strong> dos alunos pontuam abaixo de 84 neste exame.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">Exemplo 2<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">A altura das plantas em um determinado jardim \u00e9 normalmente distribu\u00edda com m\u00e9dia de \u03bc = 26,5 polegadas e desvio padr\u00e3o de \u03c3 = 2,5 polegadas. Aproximadamente que porcentagem de plantas tem mais de 26 polegadas de altura?<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Etapa 1: Encontre a pontua\u00e7\u00e3o z.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Primeiro, encontraremos o escore z associado a uma altura de 26 polegadas.<\/span><\/p>\n<p> <span style=\"color: #000000;\">pontua\u00e7\u00e3o z = (x &#8211; \u03bc) \/ \u03c3 = (26 &#8211; 26,5) \/ 2,5 = -0,5 \/ 2,5 = <strong>-0,2<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Passo 2: Use o gr\u00e1fico z para encontrar a porcentagem que corresponde \u00e0 pontua\u00e7\u00e3o z.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">A seguir procuraremos o valor <strong>-0,2<\/strong> <strong>&nbsp;<\/strong> na tabela z:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7557 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ztable2.png\" alt=\"Exemplo de como interpretar a tabela z\" width=\"617\" height=\"608\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Vemos que 42,07% dos valores est\u00e3o abaixo de um z-score de -0,2. Por\u00e9m, neste exemplo queremos saber qual porcentagem de valores \u00e9 <em>maior<\/em> que -0,2, o que podemos encontrar usando a f\u00f3rmula 100% \u2013 42,07% = 57,93%.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Portanto, aproximadamente <strong>59,87%<\/strong> das plantas neste jardim t\u00eam mais de 26 cent\u00edmetros de altura.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">Exemplo 3<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">O peso de uma determinada esp\u00e9cie de golfinho \u00e9 normalmente distribu\u00eddo com m\u00e9dia \u03bc = 400 libras e desvio padr\u00e3o de \u03c3 = 25 libras. Aproximadamente que porcentagem de golfinhos pesa entre 410 e 425 libras?<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Etapa 1: Encontre as pontua\u00e7\u00f5es z.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Primeiro, encontraremos as pontua\u00e7\u00f5es z associadas a 410 livros e 425 livros<\/span><\/p>\n<p> <span style=\"color: #000000;\">pontua\u00e7\u00e3o z de 410 = (x &#8211; \u03bc) \/ \u03c3 = (410 &#8211; 400) \/ 25 = 10\/25 = <strong>0,4<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">pontua\u00e7\u00e3o z de 425 = (x &#8211; \u03bc) \/ \u03c3 = (425 &#8211; 400) \/ 25 = 25\/25 = <strong>1<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Passo 2: Use o gr\u00e1fico z para encontrar as porcentagens que correspondem a cada pontua\u00e7\u00e3o z.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Primeiro, procuraremos o valor <strong>0,4<\/strong> <strong>&nbsp;<\/strong> na tabela z:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7558 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ztable3.png\" alt=\"Exemplo de uso da tabela z\" width=\"618\" height=\"384\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A seguir procuraremos o valor <strong>1<\/strong> <strong>&nbsp;<\/strong> na tabela z:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7559 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ztable4.png\" alt=\"Exemplo de tabela Z\" width=\"616\" height=\"381\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Por fim, subtrairemos o menor valor do maior valor: <strong>0,8413 \u2013 0,6554 = 0,1859<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Assim, aproximadamente <strong>18,59%<\/strong> dos golfinhos pesam entre 410 e 425 libras.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/pt\/a-distribuicao-normal\/\" target=\"_blank\" rel=\"noopener\">Uma introdu\u00e7\u00e3o \u00e0 distribui\u00e7\u00e3o normal<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/calculadora-cdf-normal-rapida\/\" target=\"_blank\" rel=\"noopener\">Calculadora de \u00e1rea de distribui\u00e7\u00e3o normal<\/a><br \/> Calculadora de pontua\u00e7\u00e3o Z<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Uma tabela z \u00e9 uma tabela que informa qual porcentagem de valores fica abaixo de uma determinada pontua\u00e7\u00e3o z em uma distribui\u00e7\u00e3o normal padr\u00e3o. Uma pontua\u00e7\u00e3o z simplesmente informa quantos desvios padr\u00e3o um valor de dados individual cai da m\u00e9dia. \u00c9 calculado da seguinte forma: pontua\u00e7\u00e3o z = (x \u2013 \u03bc) \/ \u03c3 Ouro: x: [&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-728","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 usar a tabela Z (com exemplos) - Estatologia<\/title>\n<meta name=\"description\" content=\"Uma explica\u00e7\u00e3o simples de como usar a tabela Z, incluindo 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\/como-usar-a-tabela-z\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Como usar a tabela Z (com exemplos) - Estatologia\" \/>\n<meta property=\"og:description\" content=\"Uma explica\u00e7\u00e3o simples de como usar a tabela Z, incluindo v\u00e1rios exemplos passo a passo.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/como-usar-a-tabela-z\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T23:09:11+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ztable1.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=\"2 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pt\/como-usar-a-tabela-z\/\",\"url\":\"https:\/\/statorials.org\/pt\/como-usar-a-tabela-z\/\",\"name\":\"Como usar a tabela Z (com exemplos) - Estatologia\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-28T23:09:11+00:00\",\"dateModified\":\"2023-07-28T23:09:11+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Uma explica\u00e7\u00e3o simples de como usar a tabela Z, incluindo v\u00e1rios exemplos passo a passo.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/como-usar-a-tabela-z\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/como-usar-a-tabela-z\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/como-usar-a-tabela-z\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Como usar a tabela z (com exemplos)\"}]},{\"@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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