{"id":85,"date":"2023-08-05T15:14:34","date_gmt":"2023-08-05T15:14:34","guid":{"rendered":"https:\/\/statorials.org\/pt\/pontuacoes-diferenciais\/"},"modified":"2023-08-05T15:14:34","modified_gmt":"2023-08-05T15:14:34","slug":"pontuacoes-diferenciais","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/pontuacoes-diferenciais\/","title":{"rendered":"Pontua\u00e7\u00f5es diferenciais"},"content":{"rendered":"<p>Neste artigo, voc\u00ea aprender\u00e1 o que s\u00e3o pontua\u00e7\u00f5es diferenciais e como calcular pontua\u00e7\u00f5es diferenciais. Al\u00e9m disso, voc\u00ea poder\u00e1 ver um exemplo concreto de c\u00e1lculo de pontua\u00e7\u00f5es diferenciais. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-una-puntuacion-diferencial\"><\/span> O que \u00e9 uma pontua\u00e7\u00e3o diferencial?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A <strong>pontua\u00e7\u00e3o da diferen\u00e7a<\/strong> \u00e9 igual \u00e0 diferen\u00e7a entre a pontua\u00e7\u00e3o direta e a m\u00e9dia do conjunto de dados. Em outras palavras, a pontua\u00e7\u00e3o de diferen\u00e7a \u00e9 a dist\u00e2ncia entre a pontua\u00e7\u00e3o direta e a m\u00e9dia.<\/p>\n<p> O valor da pontua\u00e7\u00e3o diferencial pode ser positivo, negativo ou zero:<\/p>\n<ul>\n<li> Se a pontua\u00e7\u00e3o diferencial for positiva, significa que o valor da pontua\u00e7\u00e3o direta \u00e9 superior \u00e0 m\u00e9dia.<\/li>\n<li> Se a pontua\u00e7\u00e3o da diferen\u00e7a for negativa, significa que o valor da pontua\u00e7\u00e3o direta \u00e9 inferior \u00e0 m\u00e9dia.<\/li>\n<li> Se a pontua\u00e7\u00e3o da diferen\u00e7a for zero, significa que o valor da pontua\u00e7\u00e3o direta corresponde \u00e0 m\u00e9dia.<\/li>\n<\/ul>\n<p> Lembre-se que a pontua\u00e7\u00e3o direta \u00e9 o valor dos dados, ou seja, o valor obtido ao medir uma caracter\u00edstica.<\/p>\n<p> A pontua\u00e7\u00e3o diferencial coincide, portanto, com o valor da diferen\u00e7a estat\u00edstica. A interpreta\u00e7\u00e3o dos dois conceitos \u00e9, portanto, feita de forma semelhante: quanto maior a pontua\u00e7\u00e3o diferencial, maior ser\u00e1 a dispers\u00e3o dos dados em rela\u00e7\u00e3o \u00e0 m\u00e9dia. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-puntuacion-diferencial\"><\/span> F\u00f3rmula de pontua\u00e7\u00e3o diferencial<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A <strong>pontua\u00e7\u00e3o da diferen\u00e7a<\/strong> \u00e9 calculada subtraindo a m\u00e9dia do conjunto de dados do valor da pontua\u00e7\u00e3o direta. A f\u00f3rmula de pontua\u00e7\u00e3o diferencial \u00e9, portanto, a seguinte:<\/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-5c624c54c5233ab3c13e9b33b4efe27c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i=X_i-\\overline{X}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"98\" style=\"vertical-align: -3px;\"><\/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-dad27a9703483183e1afd245f5232b83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e9 a pontua\u00e7\u00e3o diferencial,<\/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 e<\/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 aritm\u00e9tica do conjunto de dados estat\u00edsticos. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-puntuaciones-diferenciales\"><\/span> Exemplos de pontua\u00e7\u00f5es diferenciais<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Considerando a defini\u00e7\u00e3o de pontua\u00e7\u00e3o diferencial e sua f\u00f3rmula, abaixo est\u00e1 um exemplo real de c\u00e1lculo de m\u00faltiplas pontua\u00e7\u00f5es diferenciais para que voc\u00ea possa ver como isso \u00e9 feito.<\/p>\n<ul>\n<li> Calcule as pontua\u00e7\u00f5es de diferen\u00e7a para o seguinte conjunto de dados: 7, 5, 4, 6, 3<\/li>\n<\/ul>\n<p> Primeiro, calculamos a m\u00e9dia da s\u00e9rie de 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-c54cf5503d46e63b570d6b16efcb2ddb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{X}=\\cfrac{7+5+4+6+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\/\">calcular a m\u00e9dia aritm\u00e9tica<\/a><\/div>\n<p> E ent\u00e3o encontramos a pontua\u00e7\u00e3o diferencial de cada dado: <\/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-9b14a52a7e0bf35694185f93c9dbe410_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_1=7-5=2\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"112\" style=\"vertical-align: -3px;\"><\/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-38aefe42da37dc7d6f1231f2c7fd4f12_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_2=5-5=0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"113\" style=\"vertical-align: -3px;\"><\/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-c389e2dd3380563fe7323f6db4a2a827_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_3=4-5=-1\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"126\" style=\"vertical-align: -3px;\"><\/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-b4fd0bf9ae00e6ba5e35010ed3cc85e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_4=6-5=1\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"112\" style=\"vertical-align: -3px;\"><\/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-7cadc035f5c372189dfe3b90d2b281ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_5=3-5=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"126\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"puntuaciones-diferenciales-y-puntuaciones-tipicas\"><\/span> Pontua\u00e7\u00f5es de diferen\u00e7a e pontua\u00e7\u00f5es t\u00edpicas<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Agora que sabemos como s\u00e3o calculadas as pontua\u00e7\u00f5es diferenciais, vamos ver como calcular as pontua\u00e7\u00f5es t\u00edpicas, pois s\u00e3o dois conceitos relacionados.<\/p>\n<p> A <strong>pontua\u00e7\u00e3o t\u00edpica<\/strong> para uma observa\u00e7\u00e3o \u00e9 igual \u00e0 pontua\u00e7\u00e3o da diferen\u00e7a dividida pelo 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-ef694aec8321dcaccac8a7d869bb437d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z=\\cfrac{X_i-\\overline{X}}{\\sigma}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"93\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> A pontua\u00e7\u00e3o t\u00edpica \u00e9, portanto, calculada a partir da pontua\u00e7\u00e3o da diferen\u00e7a. <\/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\/pontuacoes-tipicas\/\">pontua\u00e7\u00f5es t\u00edpicas<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Neste artigo, voc\u00ea aprender\u00e1 o que s\u00e3o pontua\u00e7\u00f5es diferenciais e como calcular pontua\u00e7\u00f5es diferenciais. Al\u00e9m disso, voc\u00ea poder\u00e1 ver um exemplo concreto de c\u00e1lculo de pontua\u00e7\u00f5es diferenciais. O que \u00e9 uma pontua\u00e7\u00e3o diferencial? A pontua\u00e7\u00e3o da diferen\u00e7a \u00e9 igual \u00e0 diferen\u00e7a entre a pontua\u00e7\u00e3o direta e a m\u00e9dia do conjunto de dados. Em outras palavras, [&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-85","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 Pontua\u00e7\u00f5es Diferenciais - Probabilidades e Estat\u00edsticas<\/title>\n<meta name=\"description\" content=\"Explicamos o que s\u00e3o pontua\u00e7\u00f5es de diferen\u00e7a e como s\u00e3o calculadas (f\u00f3rmula). 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