{"id":86,"date":"2023-08-05T15:04:15","date_gmt":"2023-08-05T15:04:15","guid":{"rendered":"https:\/\/statorials.org\/pt\/pontuacoes-tipicas\/"},"modified":"2023-08-05T15:04:15","modified_gmt":"2023-08-05T15:04:15","slug":"pontuacoes-tipicas","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/pontuacoes-tipicas\/","title":{"rendered":"Pontua\u00e7\u00f5es t\u00edpicas"},"content":{"rendered":"<p>Este artigo explica o que \u00e9 uma pontua\u00e7\u00e3o t\u00edpica. Voc\u00ea descobrir\u00e1 como calcular pontua\u00e7\u00f5es padr\u00e3o, bem como um exerc\u00edcio resolvido sobre c\u00e1lculo de pontua\u00e7\u00f5es padr\u00e3o. Al\u00e9m disso, voc\u00ea poder\u00e1 ver as propriedades desta medida estat\u00edstica. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-las-puntuaciones-tipicas\"><\/span> Quais s\u00e3o as pontua\u00e7\u00f5es t\u00edpicas?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A <strong>pontua\u00e7\u00e3o padr\u00e3o<\/strong> \u00e9 o quociente entre a pontua\u00e7\u00e3o da diferen\u00e7a e o desvio padr\u00e3o do conjunto de dados. Portanto, para calcular as pontua\u00e7\u00f5es padr\u00e3o, as pontua\u00e7\u00f5es das diferen\u00e7as devem ser divididas pelo desvio padr\u00e3o.<\/p>\n<p> As pontua\u00e7\u00f5es t\u00edpicas tamb\u00e9m s\u00e3o chamadas <strong>de pontua\u00e7\u00f5es digitadas<\/strong> , pois o processo de tipifica\u00e7\u00e3o \u00e9 realizado no c\u00e1lculo das mesmas.<\/p>\n<p> Lembre-se que a pontua\u00e7\u00e3o diferen\u00e7a \u00e9 definida como a diferen\u00e7a entre a pontua\u00e7\u00e3o direta e a m\u00e9dia aritm\u00e9tica, portanto a pontua\u00e7\u00e3o t\u00edpica \u00e9 a diferen\u00e7a entre a pontua\u00e7\u00e3o direta e a m\u00e9dia aritm\u00e9tica dividida pelo desvio padr\u00e3o. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-puntuacion-tipica\"><\/span> F\u00f3rmula de pontua\u00e7\u00e3o t\u00edpica<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>A pontua\u00e7\u00e3o padr\u00e3o \u00e9 igual \u00e0 pontua\u00e7\u00e3o da diferen\u00e7a dividida pelo desvio padr\u00e3o.<\/strong> Portanto, para encontrar a pontua\u00e7\u00e3o t\u00edpica, primeiro subtraia a pontua\u00e7\u00e3o direta menos a m\u00e9dia do conjunto de dados e, em seguida, divida o resultado pelo desvio padr\u00e3o.<\/p>\n<p> Resumindo, a <strong>f\u00f3rmula de pontua\u00e7\u00e3o t\u00edpica<\/strong> \u00e9:<\/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-6b97d32b414394f2c2e51bcf1cbc0bb8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z_i=\\cfrac{X_i-\\overline{X}}{\\sigma}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"98\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Ouro<\/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-882fb4913c5afd18ebd28a67256a668a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"13\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e9 a pontua\u00e7\u00e3o t\u00edpica,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a84020904813123dc75b89c701025ecd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X_i\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"20\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e9 a pontua\u00e7\u00e3o direta,<\/p>\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 e<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-eaaf379fee5e67946f3fedf5631047b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 o desvio padr\u00e3o.<\/p>\n<p> A interpreta\u00e7\u00e3o do valor t\u00edpico do escore \u00e9 simples, pois seu valor indica o n\u00famero de desvios padr\u00e3o entre um escore direto e a m\u00e9dia dos dados. Assim, quanto maior a pontua\u00e7\u00e3o t\u00edpica, mais distante a pontua\u00e7\u00e3o direta est\u00e1 da m\u00e9dia. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-puntuaciones-tipicas\"><\/span> Exemplo de pontua\u00e7\u00f5es t\u00edpicas<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Agora que vimos a defini\u00e7\u00e3o de uma pontua\u00e7\u00e3o t\u00edpica e qual \u00e9 sua f\u00f3rmula, abaixo est\u00e1 um exemplo concreto de c\u00e1lculo de v\u00e1rias pontua\u00e7\u00f5es t\u00edpicas para que voc\u00ea possa ver como elas s\u00e3o calculadas.<\/p>\n<ul>\n<li> Encontre pontua\u00e7\u00f5es t\u00edpicas para o seguinte conjunto de dados: 7, 2, 4, 9, 3<\/li>\n<\/ul>\n<p> Primeiro, determinamos a m\u00e9dia aritm\u00e9tica dos 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-58669a07e461a9747b39102cc4775733_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{X}=\\cfrac{7+2+4+9+3}{5}=5\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"204\" 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\/media-aritmetica\/\">como encontrar a m\u00e9dia aritm\u00e9tica<\/a><\/div>\n<p class=\"has-text-align-left\"> Segundo, calculamos o desvio padr\u00e3o dos 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-bdd7b3d503cf74ee9d40e048c42f4310_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma=2,61\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"68\" style=\"vertical-align: -4px;\"><\/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\/\">calculadora de desvio padr\u00e3o<\/a><\/div>\n<p> E por fim, aplicamos a f\u00f3rmula de pontua\u00e7\u00e3o t\u00edpica para cada item de dados e realizamos o c\u00e1lculo de todas as pontua\u00e7\u00f5es t\u00edpicas: <\/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-bd03fb158ffa1e2775ce2c22da6d6cf0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z_1=\\cfrac{7-5}{2,61}=0,77\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"139\" style=\"vertical-align: -16px;\"><\/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-f86f997bc7714b6eb25700dc28b12a69_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z_2=\\cfrac{2-5}{2,61}=-1,15\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"152\" style=\"vertical-align: -16px;\"><\/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-9c56b66f21c8f5fb5d35174bd9a960a9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z_3=\\cfrac{4-5}{2,61}=-0,38\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"153\" style=\"vertical-align: -16px;\"><\/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-4c553c5f29870f49fe29256da192738d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z_4=\\cfrac{9-5}{2,61}=1,53\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"139\" style=\"vertical-align: -16px;\"><\/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-fb6318850fe0b030dba6b782a260a004_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z_5=\\cfrac{3-5}{2,61}=-0,77\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"153\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-las-puntuaciones-tipicas\"><\/span> Propriedades de pontua\u00e7\u00f5es t\u00edpicas<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> As pontua\u00e7\u00f5es t\u00edpicas t\u00eam as seguintes propriedades:<\/p>\n<ul>\n<li> A m\u00e9dia aritm\u00e9tica de todas as pontua\u00e7\u00f5es t\u00edpicas \u00e9 sempre 0.<\/li>\n<li> O desvio padr\u00e3o das pontua\u00e7\u00f5es padr\u00e3o \u00e9 igual a 1.<\/li>\n<li> As pontua\u00e7\u00f5es t\u00edpicas s\u00e3o adimensionais, uma vez que as unidades do numerador se cancelam com as unidades do denominador.<\/li>\n<li> Se uma pontua\u00e7\u00e3o t\u00edpica for positiva, significa que a pontua\u00e7\u00e3o direta est\u00e1 acima da m\u00e9dia. Por outro lado, se a pontua\u00e7\u00e3o padr\u00e3o for negativa, significa que a pontua\u00e7\u00e3o direta est\u00e1 abaixo da m\u00e9dia.<\/li>\n<li> As pontua\u00e7\u00f5es t\u00edpicas s\u00e3o muito \u00fateis para comparar diferentes distribui\u00e7\u00f5es.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Este artigo explica o que \u00e9 uma pontua\u00e7\u00e3o t\u00edpica. Voc\u00ea descobrir\u00e1 como calcular pontua\u00e7\u00f5es padr\u00e3o, bem como um exerc\u00edcio resolvido sobre c\u00e1lculo de pontua\u00e7\u00f5es padr\u00e3o. Al\u00e9m disso, voc\u00ea poder\u00e1 ver as propriedades desta medida estat\u00edstica. Quais s\u00e3o as pontua\u00e7\u00f5es t\u00edpicas? A pontua\u00e7\u00e3o padr\u00e3o \u00e9 o quociente entre a pontua\u00e7\u00e3o da diferen\u00e7a e o desvio padr\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-86","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 pontua\u00e7\u00f5es t\u00edpicas? (f\u00f3rmula e exemplo)<\/title>\n<meta name=\"description\" content=\"Explicamos o que s\u00e3o pontua\u00e7\u00f5es t\u00edpicas e como s\u00e3o calculadas (f\u00f3rmula). 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Com um exemplo concreto de c\u00e1lculo de pontua\u00e7\u00f5es t\u00edpicas.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/pontuacoes-tipicas\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-05T15:04:15+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-6b97d32b414394f2c2e51bcf1cbc0bb8_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=\"3 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pt\/pontuacoes-tipicas\/\",\"url\":\"https:\/\/statorials.org\/pt\/pontuacoes-tipicas\/\",\"name\":\"\u25b7 Quais s\u00e3o as pontua\u00e7\u00f5es t\u00edpicas? 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(f\u00f3rmula e exemplo)","isPartOf":{"@id":"https:\/\/statorials.org\/pt\/#website"},"datePublished":"2023-08-05T15:04:15+00:00","dateModified":"2023-08-05T15:04:15+00:00","author":{"@id":"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666"},"description":"Explicamos o que s\u00e3o pontua\u00e7\u00f5es t\u00edpicas e como s\u00e3o calculadas (f\u00f3rmula). 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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\/86","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=86"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/posts\/86\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/media?parent=86"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/categories?post=86"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/tags?post=86"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}