{"id":4657,"date":"2025-10-29T19:10:55","date_gmt":"2025-10-29T22:10:55","guid":{"rendered":"https:\/\/colegadeclasse.com.br\/blog\/?p=4657"},"modified":"2026-01-14T14:25:49","modified_gmt":"2026-01-14T17:25:49","slug":"frequencia-em-estatistica-guia-completo-para-concursos","status":"publish","type":"post","link":"https:\/\/colegadeclasse.com.br\/blog\/2025\/10\/29\/frequencia-em-estatistica-guia-completo-para-concursos\/","title":{"rendered":"Frequ\u00eancia em Estat\u00edstica: Guia Completo para Concursos"},"content":{"rendered":"<div style=\"display:flex; gap:10px;justify-content:flex-end\" class=\"wps-pgfw-pdf-generate-icon__wrapper-frontend\">\n\t\t<a  href=\"https:\/\/colegadeclasse.com.br\/blog\/wp-json\/wp\/v2\/posts\/4657?action=genpdf&amp;id=4657\" class=\"pgfw-single-pdf-download-button\" ><img src=\"https:\/\/colegadeclasse.com.br\/blog\/wp-content\/plugins\/pdf-generator-for-wp\/admin\/src\/images\/PDF_Tray.svg\" title=\"Gerar PDF  \" style=\"width:auto; height:45px;\"><\/a>\n\t\t<\/div>\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<h2 class=\"wp-block-heading\">1. Introdu\u00e7\u00e3o<\/h2>\n\n\n\n<p class=\"\">A <strong>frequ\u00eancia<\/strong> \u00e9 um dos conceitos fundamentais em estat\u00edstica descritiva e aparece com grande frequ\u00eancia (literalmente!) em provas de concursos p\u00fablicos. Compreender os diferentes tipos de frequ\u00eancia e saber construir e interpretar tabelas de frequ\u00eancia \u00e9 essencial para qualquer candidato.<\/p>\n<\/div><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<h2 class=\"wp-block-heading\">2. Conceitos Fundamentais de Frequ\u00eancia<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">2.1 O que \u00e9 Frequ\u00eancia?<\/h3>\n\n\n\n<p class=\"\"><strong>Frequ\u00eancia<\/strong> \u00e9 o n\u00famero de vezes que um valor, categoria ou classe aparece em um conjunto de dados. \u00c9 a forma de organizar e resumir dados brutos, facilitando a an\u00e1lise e interpreta\u00e7\u00e3o das informa\u00e7\u00f5es.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2.2 Tipos de Frequ\u00eancia<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>A) Frequ\u00eancia Absoluta (fi ou ni)<\/strong><\/h4>\n\n\n\n<p class=\"\">\u00c9 o n\u00famero de vezes que cada valor ou classe aparece no conjunto de dados.<\/p>\n\n\n\n<p class=\"\"><strong>Caracter\u00edsticas:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\">Sempre um n\u00famero inteiro e positivo<\/li>\n\n\n\n<li class=\"\">A soma de todas as frequ\u00eancias absolutas \u00e9 igual ao total de observa\u00e7\u00f5es (n)<\/li>\n\n\n\n<li class=\"\">Nota\u00e7\u00e3o: fi (frequ\u00eancia do i-\u00e9simo elemento)<\/li>\n<\/ul>\n\n\n\n<p class=\"\"><strong>Exemplo:<\/strong> Em uma turma, as idades dos alunos s\u00e3o: 18, 19, 18, 20, 19, 18, 21, 19, 20, 18<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\">Idade 18: frequ\u00eancia absoluta = 4<\/li>\n\n\n\n<li class=\"\">Idade 19: frequ\u00eancia absoluta = 3<\/li>\n\n\n\n<li class=\"\">Idade 20: frequ\u00eancia absoluta = 2<\/li>\n\n\n\n<li class=\"\">Idade 21: frequ\u00eancia absoluta = 1<\/li>\n\n\n\n<li class=\"\"><strong>Total: 10 alunos<\/strong><\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>B) Frequ\u00eancia Relativa (fr ou fi%)<\/strong><\/h4>\n\n\n\n<p class=\"\">\u00c9 a propor\u00e7\u00e3o ou percentual que cada frequ\u00eancia absoluta representa em rela\u00e7\u00e3o ao total de observa\u00e7\u00f5es.<\/p>\n\n\n\n<p class=\"\"><strong>F\u00f3rmula:<\/strong> <\/p>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">$$fr_i = \\frac{f_i}{n}$$<script src=\"https:\/\/colegadeclasse.com.br\/blog\/wp-includes\/js\/dist\/hooks.min.js?ver=dd5603f07f9220ed27f1\" id=\"wp-hooks-js\"><\/script>\n<script src=\"https:\/\/colegadeclasse.com.br\/blog\/wp-includes\/js\/dist\/i18n.min.js?ver=c26c3dc7bed366793375\" id=\"wp-i18n-js\"><\/script>\n<script id=\"wp-i18n-js-after\">\nwp.i18n.setLocaleData( { 'text direction\\u0004ltr': [ 'ltr' ] } );\n\/\/# sourceURL=wp-i18n-js-after\n<\/script>\n<script  async src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/mathjax\/2.7.7\/MathJax.js?config=TeX-MML-AM_CHTML\" id=\"mathjax-js\"><\/script>\n<\/div>\n\n\n\n<p class=\"\">Onde:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\">fri = frequ\u00eancia relativa da classe i<\/li>\n\n\n\n<li class=\"\">fi = frequ\u00eancia absoluta da classe i<\/li>\n\n\n\n<li class=\"\">n = n\u00famero total de observa\u00e7\u00f5es<\/li>\n<\/ul>\n\n\n\n<p class=\"\"><strong>Em porcentagem:<\/strong> <\/p>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">$$fr_i% = \\frac{f_i}{n} \\times 100%$$<\/div>\n\n\n\n<p class=\"\"><strong>Caracter\u00edsticas:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\">Varia entre 0 e 1 (ou 0% e 100%)<\/li>\n\n\n\n<li class=\"\">A soma de todas as frequ\u00eancias relativas \u00e9 igual a 1 (ou 100%)<\/li>\n\n\n\n<li class=\"\">Facilita compara\u00e7\u00f5es entre diferentes conjuntos de dados<\/li>\n<\/ul>\n\n\n\n<p class=\"\"><strong>Exemplo (continuando o anterior):<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\">Idade 18: fr = 4\/10 = 0,40 ou 40%<\/li>\n\n\n\n<li class=\"\">Idade 19: fr = 3\/10 = 0,30 ou 30%<\/li>\n\n\n\n<li class=\"\">Idade 20: fr = 2\/10 = 0,20 ou 20%<\/li>\n\n\n\n<li class=\"\">Idade 21: fr = 1\/10 = 0,10 ou 10%<\/li>\n\n\n\n<li class=\"\"><strong>Total: 1,00 ou 100%<\/strong><\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>C) Frequ\u00eancia Acumulada Absoluta (Fi ou Fac)<\/strong><\/h4>\n\n\n\n<p class=\"\">\u00c9 a soma das frequ\u00eancias absolutas de todos os valores menores ou iguais ao valor considerado.<\/p>\n\n\n\n<p class=\"\"><strong>F\u00f3rmula:<\/strong> <\/p>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">$$F_i = f_1 + f_2 + &#8230; + f_i$$<\/div>\n\n\n\n<p class=\"\"><strong>Caracter\u00edsticas:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\">Crescente (nunca diminui)<\/li>\n\n\n\n<li class=\"\">A \u00faltima frequ\u00eancia acumulada \u00e9 sempre igual ao total de observa\u00e7\u00f5es<\/li>\n\n\n\n<li class=\"\">\u00datil para determinar quantos elementos est\u00e3o abaixo de determinado valor<\/li>\n<\/ul>\n\n\n\n<p class=\"\"><strong>Exemplo:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\">Idade 18: Fac = 4<\/li>\n\n\n\n<li class=\"\">Idade 19: Fac = 4 + 3 = 7<\/li>\n\n\n\n<li class=\"\">Idade 20: Fac = 7 + 2 = 9<\/li>\n\n\n\n<li class=\"\">Idade 21: Fac = 9 + 1 = 10<\/li>\n<\/ul>\n\n\n\n<p class=\"\"><strong>Interpreta\u00e7\u00e3o:<\/strong> 7 alunos t\u00eam at\u00e9 19 anos.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>D) Frequ\u00eancia Acumulada Relativa (Fr ou Fac%)<\/strong><\/h4>\n\n\n\n<p class=\"\">\u00c9 a soma das frequ\u00eancias relativas de todos os valores menores ou iguais ao valor considerado.<\/p>\n\n\n\n<p class=\"\"><strong>F\u00f3rmula:<\/strong> <\/p>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">$$Fr_i = \\frac{F_i}{n}$$<\/div>\n\n\n\n<p class=\"\">Ou tamb\u00e9m: <\/p>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">$$Fr_i = fr_1 + fr_2 + &#8230; + fr_i$$<\/div>\n\n\n\n<p class=\"\"><strong>Caracter\u00edsticas:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\">Varia entre 0 e 1 (ou 0% e 100%)<\/li>\n\n\n\n<li class=\"\">A \u00faltima frequ\u00eancia acumulada relativa \u00e9 sempre 1 (ou 100%)<\/li>\n\n\n\n<li class=\"\">Permite identificar percentis e quartis<\/li>\n<\/ul>\n\n\n\n<p class=\"\"><strong>Exemplo:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\">Idade 18: Fr = 4\/10 = 0,40 ou 40%<\/li>\n\n\n\n<li class=\"\">Idade 19: Fr = 7\/10 = 0,70 ou 70%<\/li>\n\n\n\n<li class=\"\">Idade 20: Fr = 9\/10 = 0,90 ou 90%<\/li>\n\n\n\n<li class=\"\">Idade 21: Fr = 10\/10 = 1,00 ou 100%<\/li>\n<\/ul>\n\n\n\n<p class=\"\"><strong>Interpreta\u00e7\u00e3o:<\/strong> 70% dos alunos t\u00eam at\u00e9 19 anos.<\/p>\n<\/div><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<h2 class=\"wp-block-heading\">3. Tipos de Tabelas de Frequ\u00eancia<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">3.1 Tabela de Frequ\u00eancia para Dados Discretos (Valores Individuais)<\/h3>\n\n\n\n<p class=\"\">Utilizada quando os dados s\u00e3o valores espec\u00edficos e distintos (geralmente vari\u00e1veis discretas).<\/p>\n\n\n\n<p class=\"\"><strong>Estrutura:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Valor (xi)<\/th><th>Frequ\u00eancia Absoluta (fi)<\/th><th>Frequ\u00eancia Relativa (fr)<\/th><th>Freq. Acumulada (Fi)<\/th><th>Freq. Acum. Relativa (Fr)<\/th><\/tr><\/thead><tbody><tr><td>x\u2081<\/td><td>f\u2081<\/td><td>fr\u2081<\/td><td>F\u2081<\/td><td>Fr\u2081<\/td><\/tr><tr><td>x\u2082<\/td><td>f\u2082<\/td><td>fr\u2082<\/td><td>F\u2082<\/td><td>Fr\u2082<\/td><\/tr><tr><td>&#8230;<\/td><td>&#8230;<\/td><td>&#8230;<\/td><td>&#8230;<\/td><td>&#8230;<\/td><\/tr><tr><td><strong>Total<\/strong><\/td><td><strong>n<\/strong><\/td><td><strong>1,00<\/strong><\/td><td><strong>n<\/strong><\/td><td><strong>1,00<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">3.2 Tabela de Frequ\u00eancia para Dados Agrupados em Classes<\/h3>\n\n\n\n<p class=\"\">Utilizada quando h\u00e1 muitos valores diferentes ou quando os dados s\u00e3o cont\u00ednuos. Os dados s\u00e3o agrupados em intervalos (classes).<\/p>\n\n\n\n<p class=\"\"><strong>Elementos importantes:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\"><strong>Classe (intervalo)<\/strong>: faixa de valores<\/li>\n\n\n\n<li class=\"\"><strong>Limite inferior (Li)<\/strong>: menor valor da classe<\/li>\n\n\n\n<li class=\"\"><strong>Limite superior (Ls)<\/strong>: maior valor da classe<\/li>\n\n\n\n<li class=\"\"><strong>Amplitude da classe (h)<\/strong>: Ls &#8211; Li<\/li>\n\n\n\n<li class=\"\"><strong>Ponto m\u00e9dio (xi)<\/strong>: (Li + Ls) \/ 2<\/li>\n<\/ul>\n\n\n\n<p class=\"\"><strong>Estrutura:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Classes<\/th><th>Ponto M\u00e9dio (xi)<\/th><th>fi<\/th><th>fr<\/th><th>Fi<\/th><th>Fr<\/th><\/tr><\/thead><tbody><tr><td>L\u2081 \u251c\u2500 L\u2082<\/td><td>x\u2081<\/td><td>f\u2081<\/td><td>fr\u2081<\/td><td>F\u2081<\/td><td>Fr\u2081<\/td><\/tr><tr><td>L\u2082 \u251c\u2500 L\u2083<\/td><td>x\u2082<\/td><td>f\u2082<\/td><td>fr\u2082<\/td><td>F\u2082<\/td><td>Fr\u2082<\/td><\/tr><tr><td>&#8230;<\/td><td>&#8230;<\/td><td>&#8230;<\/td><td>&#8230;<\/td><td>&#8230;<\/td><td>&#8230;<\/td><\/tr><tr><td><strong>Total<\/strong><\/td><td>&#8211;<\/td><td><strong>n<\/strong><\/td><td><strong>1,00<\/strong><\/td><td><strong>n<\/strong><\/td><td><strong>1,00<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"\"><strong>Observa\u00e7\u00e3o sobre nota\u00e7\u00e3o de intervalos:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\"><code>[a, b)<\/code> ou <code>a \u251c\u2500 b<\/code>: inclui a, n\u00e3o inclui b<\/li>\n\n\n\n<li class=\"\"><code>(a, b]<\/code> ou <code>a \u2500\u2500\u2524 b<\/code>: n\u00e3o inclui a, inclui b<\/li>\n\n\n\n<li class=\"\"><code>[a, b]<\/code>: inclui ambos<\/li>\n\n\n\n<li class=\"\"><code>(a, b)<\/code>: n\u00e3o inclui nenhum<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<h2 class=\"wp-block-heading\">4. Como Construir uma Tabela de Frequ\u00eancia<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">4.1 Passo a Passo para Dados Discretos<\/h3>\n\n\n\n<p class=\"\"><strong>Exemplo Pr\u00e1tico:<\/strong> N\u00famero de filhos de 20 fam\u00edlias:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>2, 1, 3, 2, 1, 0, 2, 2, 3, 1, 2, 1, 4, 2, 3, 1, 2, 0, 1, 2\n<\/code><\/pre>\n\n\n\n<p class=\"\"><strong>PASSO 1:<\/strong> Ordenar os dados (opcional, mas facilita)<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4\n<\/code><\/pre>\n\n\n\n<p class=\"\"><strong>PASSO 2:<\/strong> Contar as frequ\u00eancias absolutas<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\">0 filhos: 2 fam\u00edlias<\/li>\n\n\n\n<li class=\"\">1 filho: 6 fam\u00edlias<\/li>\n\n\n\n<li class=\"\">2 filhos: 8 fam\u00edlias<\/li>\n\n\n\n<li class=\"\">3 filhos: 3 fam\u00edlias<\/li>\n\n\n\n<li class=\"\">4 filhos: 1 fam\u00edlia<\/li>\n\n\n\n<li class=\"\"><strong>Total: 20 fam\u00edlias<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"\"><strong>PASSO 3:<\/strong> Calcular as frequ\u00eancias relativas<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\">0 filhos: 2\/20 = 0,10 (10%)<\/li>\n\n\n\n<li class=\"\">1 filho: 6\/20 = 0,30 (30%)<\/li>\n\n\n\n<li class=\"\">2 filhos: 8\/20 = 0,40 (40%)<\/li>\n\n\n\n<li class=\"\">3 filhos: 3\/20 = 0,15 (15%)<\/li>\n\n\n\n<li class=\"\">4 filhos: 1\/20 = 0,05 (5%)<\/li>\n<\/ul>\n\n\n\n<p class=\"\"><strong>PASSO 4:<\/strong> Calcular as frequ\u00eancias acumuladas<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\">Fi (absoluta): soma progressiva das fi<\/li>\n\n\n\n<li class=\"\">Fr (relativa): soma progressiva das fr<\/li>\n<\/ul>\n\n\n\n<p class=\"\"><strong>TABELA FINAL:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>N\u00ba de Filhos<\/th><th>fi<\/th><th>fr<\/th><th>fr%<\/th><th>Fi<\/th><th>Fr<\/th><th>Fr%<\/th><\/tr><\/thead><tbody><tr><td>0<\/td><td>2<\/td><td>0,10<\/td><td>10%<\/td><td>2<\/td><td>0,10<\/td><td>10%<\/td><\/tr><tr><td>1<\/td><td>6<\/td><td>0,30<\/td><td>30%<\/td><td>8<\/td><td>0,40<\/td><td>40%<\/td><\/tr><tr><td>2<\/td><td>8<\/td><td>0,40<\/td><td>40%<\/td><td>16<\/td><td>0,80<\/td><td>80%<\/td><\/tr><tr><td>3<\/td><td>3<\/td><td>0,15<\/td><td>15%<\/td><td>19<\/td><td>0,95<\/td><td>95%<\/td><\/tr><tr><td>4<\/td><td>1<\/td><td>0,05<\/td><td>5%<\/td><td>20<\/td><td>1,00<\/td><td>100%<\/td><\/tr><tr><td><strong>Total<\/strong><\/td><td><strong>20<\/strong><\/td><td><strong>1,00<\/strong><\/td><td><strong>100%<\/strong><\/td><td>&#8211;<\/td><td>&#8211;<\/td><td>&#8211;<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">4.2 Passo a Passo para Dados Agrupados em Classes<\/h3>\n\n\n\n<p class=\"\"><strong>Exemplo Pr\u00e1tico:<\/strong> Alturas (em cm) de 30 estudantes:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>165, 172, 158, 180, 175, 168, 170, 163, 177, 169,\n171, 174, 166, 178, 167, 173, 162, 176, 164, 179,\n168, 170, 172, 175, 169, 171, 173, 166, 174, 177\n<\/code><\/pre>\n\n\n\n<p class=\"\"><strong>PASSO 1:<\/strong> Determinar a amplitude total (AT)<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\">Maior valor: 180<\/li>\n\n\n\n<li class=\"\">Menor valor: 158<\/li>\n\n\n\n<li class=\"\">AT = 180 &#8211; 158 = 22<\/li>\n<\/ul>\n\n\n\n<p class=\"\"><strong>PASSO 2:<\/strong> Determinar o n\u00famero de classes (k)<\/p>\n\n\n\n<p class=\"\"><strong>Regra de Sturges (mais comum em concursos):<\/strong> $$k = 1 + 3,3 \\times \\log_{10}(n)$$<\/p>\n\n\n\n<p class=\"\">Para n = 30: <\/p>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">$$k = 1 + 3,3 \\times \\log_{10}(30) = 1 + 3,3 \\times 1,48 \u2248 5,9 \u2248 6 \\text{ classes}$$<\/div>\n\n\n\n<p class=\"\"><strong>Outras op\u00e7\u00f5es:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\">Regra da raiz quadrada: k \u2248 \u221an (para n = 30, k \u2248 5,5)<\/li>\n\n\n\n<li class=\"\">Crit\u00e9rio do analista (entre 5 e 15 classes geralmente)<\/li>\n<\/ul>\n\n\n\n<p class=\"\"><strong>PASSO 3:<\/strong> Calcular a amplitude de classe (h) <\/p>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">$$h = \\frac{AT}{k} = \\frac{22}{6} \u2248 3,67$$<\/div>\n\n\n\n<p class=\"\">Arredondar para facilitar: <strong>h = 4<\/strong><\/p>\n\n\n\n<p class=\"\"><strong>PASSO 4:<\/strong> Definir os limites das classes Come\u00e7ando de 158 (ou arredondar para 158):<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li class=\"\">158 \u251c\u2500 162<\/li>\n\n\n\n<li class=\"\">162 \u251c\u2500 166<\/li>\n\n\n\n<li class=\"\">166 \u251c\u2500 170<\/li>\n\n\n\n<li class=\"\">170 \u251c\u2500 174<\/li>\n\n\n\n<li class=\"\">174 \u251c\u2500 178<\/li>\n\n\n\n<li class=\"\">178 \u251c\u2500 182<\/li>\n<\/ol>\n\n\n\n<p class=\"\"><strong>PASSO 5:<\/strong> Contar quantos valores caem em cada classe<\/p>\n\n\n\n<p class=\"\"><strong>PASSO 6:<\/strong> Calcular os pontos m\u00e9dios<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\">Classe 1: xi = (158 + 162)\/2 = 160<\/li>\n<\/ul>\n\n\n\n<p class=\"\"><strong>PASSO 7:<\/strong> Completar a tabela<\/p>\n\n\n\n<p class=\"\"><strong>TABELA FINAL:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Classes (cm)<\/th><th>xi<\/th><th>fi<\/th><th>fr<\/th><th>fr%<\/th><th>Fi<\/th><th>Fr<\/th><th>Fr%<\/th><\/tr><\/thead><tbody><tr><td>158 \u251c\u2500 162<\/td><td>160<\/td><td>2<\/td><td>0,067<\/td><td>6,7%<\/td><td>2<\/td><td>0,067<\/td><td>6,7%<\/td><\/tr><tr><td>162 \u251c\u2500 166<\/td><td>164<\/td><td>4<\/td><td>0,133<\/td><td>13,3%<\/td><td>6<\/td><td>0,200<\/td><td>20,0%<\/td><\/tr><tr><td>166 \u251c\u2500 170<\/td><td>168<\/td><td>8<\/td><td>0,267<\/td><td>26,7%<\/td><td>14<\/td><td>0,467<\/td><td>46,7%<\/td><\/tr><tr><td>170 \u251c\u2500 174<\/td><td>172<\/td><td>9<\/td><td>0,300<\/td><td>30,0%<\/td><td>23<\/td><td>0,767<\/td><td>76,7%<\/td><\/tr><tr><td>174 \u251c\u2500 178<\/td><td>176<\/td><td>5<\/td><td>0,167<\/td><td>16,7%<\/td><td>28<\/td><td>0,933<\/td><td>93,3%<\/td><\/tr><tr><td>178 \u251c\u2500 182<\/td><td>180<\/td><td>2<\/td><td>0,067<\/td><td>6,7%<\/td><td>30<\/td><td>1,000<\/td><td>100%<\/td><\/tr><tr><td><strong>Total<\/strong><\/td><td>&#8211;<\/td><td><strong>30<\/strong><\/td><td><strong>1,00<\/strong><\/td><td><strong>100%<\/strong><\/td><td>&#8211;<\/td><td>&#8211;<\/td><td>&#8211;<\/td><\/tr><\/tbody><\/table><\/figure>\n<\/div><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<h2 class=\"wp-block-heading\">5. Como Interpretar uma Tabela de Frequ\u00eancia<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">5.1 Interpreta\u00e7\u00f5es com Frequ\u00eancia Absoluta<\/h3>\n\n\n\n<p class=\"\"><strong>Pergunta:<\/strong> Quantos estudantes t\u00eam entre 170 e 174 cm? <strong>Resposta:<\/strong> fi = 9 estudantes<\/p>\n\n\n\n<p class=\"\"><strong>Pergunta:<\/strong> Qual a altura mais comum (moda)? <strong>Resposta:<\/strong> A classe com maior fi (170 \u251c\u2500 174)<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">5.2 Interpreta\u00e7\u00f5es com Frequ\u00eancia Relativa<\/h3>\n\n\n\n<p class=\"\"><strong>Pergunta:<\/strong> Qual o percentual de estudantes com altura entre 166 e 170 cm? <strong>Resposta:<\/strong> fr% = 26,7%<\/p>\n\n\n\n<p class=\"\"><strong>Pergunta:<\/strong> Que propor\u00e7\u00e3o dos estudantes tem menos de 166 cm? <strong>Resposta:<\/strong> Soma das fr das duas primeiras classes = 0,067 + 0,133 = 0,200 ou 20%<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">5.3 Interpreta\u00e7\u00f5es com Frequ\u00eancia Acumulada<\/h3>\n\n\n\n<p class=\"\"><strong>Pergunta:<\/strong> Quantos estudantes t\u00eam at\u00e9 174 cm? <strong>Resposta:<\/strong> Fi = 23 estudantes<\/p>\n\n\n\n<p class=\"\"><strong>Pergunta:<\/strong> Qual percentual de estudantes tem at\u00e9 170 cm? <strong>Resposta:<\/strong> Fr% = 46,7%<\/p>\n\n\n\n<p class=\"\"><strong>Pergunta:<\/strong> Quantos estudantes t\u00eam mais de 174 cm? <strong>Resposta:<\/strong> Total &#8211; Fi = 30 &#8211; 23 = 7 estudantes<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">5.4 Identificando Medidas de Posi\u00e7\u00e3o<\/h3>\n\n\n\n<p class=\"\"><strong>Mediana:<\/strong> valor que deixa 50% dos dados abaixo<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\">Procurar Fr \u2248 0,50 ou 50%<\/li>\n\n\n\n<li class=\"\">No exemplo: est\u00e1 na classe 170 \u251c\u2500 174<\/li>\n<\/ul>\n\n\n\n<p class=\"\"><strong>Quartis:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\">Q1 (primeiro quartil): Fr \u2248 0,25 ou 25%<\/li>\n\n\n\n<li class=\"\">Q2 (segundo quartil = mediana): Fr \u2248 0,50 ou 50%<\/li>\n\n\n\n<li class=\"\">Q3 (terceiro quartil): Fr \u2248 0,75 ou 75%<\/li>\n<\/ul>\n\n\n\n<p class=\"\"><strong>Percentis:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\">P90 (percentil 90): Fr \u2248 0,90 ou 90%<\/li>\n\n\n\n<li class=\"\">Significa que 90% dos valores est\u00e3o abaixo<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n<\/div><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<h2 class=\"wp-block-heading\">Exemplo Completo Resolvido<\/h2>\n\n\n\n<p class=\"\"><strong>Situa\u00e7\u00e3o:<\/strong> Em um concurso, as notas de 40 candidatos foram:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>45, 62, 78, 53, 67, 81, 59, 74, 68, 55,\n71, 63, 76, 58, 69, 82, 64, 73, 61, 77,\n56, 70, 65, 79, 60, 72, 66, 80, 57, 75,\n54, 68, 62, 74, 59, 71, 63, 77, 66, 69\n<\/code><\/pre>\n\n\n\n<p class=\"\"><strong>Construa uma tabela de frequ\u00eancia com 5 classes e interprete.<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Resolu\u00e7\u00e3o:<\/h3>\n\n\n\n<p class=\"\"><strong>1) Determinar amplitude total:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\">Maior: 82<\/li>\n\n\n\n<li class=\"\">Menor: 45<\/li>\n\n\n\n<li class=\"\">AT = 82 &#8211; 45 = 37<\/li>\n<\/ul>\n\n\n\n<p class=\"\"><strong>2) N\u00famero de classes:<\/strong> k = 5 (dado)<\/p>\n\n\n\n<p class=\"\"><strong>3) Amplitude de classe:<\/strong> h = 37\/5 = 7,4 \u2248 8<\/p>\n\n\n\n<p class=\"\"><strong>4) Definir classes (come\u00e7ando em 45):<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\">45 \u251c\u2500 53<\/li>\n\n\n\n<li class=\"\">53 \u251c\u2500 61<\/li>\n\n\n\n<li class=\"\">61 \u251c\u2500 69<\/li>\n\n\n\n<li class=\"\">69 \u251c\u2500 77<\/li>\n\n\n\n<li class=\"\">77 \u251c\u2500 85<\/li>\n<\/ul>\n\n\n\n<p class=\"\"><strong>5) Tabela completa:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Classes<\/th><th>xi<\/th><th>fi<\/th><th>fr<\/th><th>fr%<\/th><th>Fi<\/th><th>Fr%<\/th><\/tr><\/thead><tbody><tr><td>45 \u251c\u2500 53<\/td><td>49<\/td><td>2<\/td><td>0,05<\/td><td>5%<\/td><td>2<\/td><td>5%<\/td><\/tr><tr><td>53 \u251c\u2500 61<\/td><td>57<\/td><td>8<\/td><td>0,20<\/td><td>20%<\/td><td>10<\/td><td>25%<\/td><\/tr><tr><td>61 \u251c\u2500 69<\/td><td>65<\/td><td>14<\/td><td>0,35<\/td><td>35%<\/td><td>24<\/td><td>60%<\/td><\/tr><tr><td>69 \u251c\u2500 77<\/td><td>73<\/td><td>11<\/td><td>0,275<\/td><td>27,5%<\/td><td>35<\/td><td>87,5%<\/td><\/tr><tr><td>77 \u251c\u2500 85<\/td><td>81<\/td><td>5<\/td><td>0,125<\/td><td>12,5%<\/td><td>40<\/td><td>100%<\/td><\/tr><tr><td><strong>Total<\/strong><\/td><td>&#8211;<\/td><td><strong>40<\/strong><\/td><td><strong>1,00<\/strong><\/td><td><strong>100%<\/strong><\/td><td>&#8211;<\/td><td>&#8211;<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Interpreta\u00e7\u00f5es:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li class=\"\"><strong>Classe modal:<\/strong> 61 \u251c\u2500 69 (maior fi = 14)<\/li>\n\n\n\n<li class=\"\"><strong>35% dos candidatos tiraram entre 61 e 69<\/strong><\/li>\n\n\n\n<li class=\"\"><strong>60% dos candidatos tiraram at\u00e9 69<\/strong><\/li>\n\n\n\n<li class=\"\"><strong>12,5% tiraram acima de 77<\/strong><\/li>\n\n\n\n<li class=\"\"><strong>A mediana est\u00e1 na classe 61 \u251c\u2500 69<\/strong> (onde Fr passa de 50%)<\/li>\n<\/ol>\n<\/div><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<h2 class=\"wp-block-heading\">Resumo dos Conceitos-Chave<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Conceito<\/th><th>S\u00edmbolo<\/th><th>F\u00f3rmula<\/th><th>O que representa<\/th><\/tr><\/thead><tbody><tr><td>Frequ\u00eancia Absoluta<\/td><td>fi<\/td><td>Contagem<\/td><td>Quantas vezes aparece<\/td><\/tr><tr><td>Frequ\u00eancia Relativa<\/td><td>fr<\/td><td>fi \/ n<\/td><td>Propor\u00e7\u00e3o do total<\/td><\/tr><tr><td>Freq. Acumulada Absoluta<\/td><td>Fi<\/td><td>\u03a3fi<\/td><td>Quantos at\u00e9 ali<\/td><\/tr><tr><td>Freq. Acumulada Relativa<\/td><td>Fr<\/td><td>Fi \/ n<\/td><td>Propor\u00e7\u00e3o at\u00e9 ali<\/td><\/tr><tr><td>Total de observa\u00e7\u00f5es<\/td><td>n<\/td><td>\u03a3fi<\/td><td>Tamanho da amostra<\/td><\/tr><tr><td>Amplitude de classe<\/td><td>h<\/td><td>AT \/ k<\/td><td>Tamanho do intervalo<\/td><\/tr><\/tbody><\/table><\/figure>\n<\/div><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<h2 class=\"wp-block-heading\">Conclus\u00e3o<\/h2>\n\n\n\n<p class=\"\">Dominar o conceito de frequ\u00eancia e saber construir e interpretar tabelas de frequ\u00eancia \u00e9 fundamental para:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\">\u2705 Organizar dados de forma clara<\/li>\n\n\n\n<li class=\"\">\u2705 Facilitar c\u00e1lculos de medidas estat\u00edsticas<\/li>\n\n\n\n<li class=\"\">\u2705 Visualizar a distribui\u00e7\u00e3o dos dados<\/li>\n\n\n\n<li class=\"\">\u2705 Resolver quest\u00f5es de concursos com confian\u00e7a<\/li>\n<\/ul>\n\n\n\n<p class=\"\"><strong>Pratique muito!<\/strong> A constru\u00e7\u00e3o de tabelas de frequ\u00eancia \u00e9 uma habilidade que se desenvolve com exerc\u00edcios repetidos.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"\"><strong>Sucesso nos seus estudos! \ud83d\udcca\ud83d\udcc8<\/strong><\/p>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>1. Introdu\u00e7\u00e3o A frequ\u00eancia \u00e9 um dos conceitos fundamentais em estat\u00edstica descritiva e aparece com grande frequ\u00eancia (literalmente!) em provas de concursos p\u00fablicos. Compreender os diferentes tipos de frequ\u00eancia e saber construir e interpretar tabelas de frequ\u00eancia \u00e9 essencial para qualquer candidato. 2. Conceitos Fundamentais de Frequ\u00eancia 2.1 O que \u00e9 Frequ\u00eancia? Frequ\u00eancia \u00e9 o [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":4658,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"nf_dc_page":"","footnotes":""},"categories":[53,375],"tags":[23,197,357],"class_list":["post-4657","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-estatitica","category-frequencia","tag-resumo","tag-resumos_esquematizados","tag-dicas"],"acf":[],"_links":{"self":[{"href":"https:\/\/colegadeclasse.com.br\/blog\/wp-json\/wp\/v2\/posts\/4657","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/colegadeclasse.com.br\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/colegadeclasse.com.br\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/colegadeclasse.com.br\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/colegadeclasse.com.br\/blog\/wp-json\/wp\/v2\/comments?post=4657"}],"version-history":[{"count":3,"href":"https:\/\/colegadeclasse.com.br\/blog\/wp-json\/wp\/v2\/posts\/4657\/revisions"}],"predecessor-version":[{"id":5582,"href":"https:\/\/colegadeclasse.com.br\/blog\/wp-json\/wp\/v2\/posts\/4657\/revisions\/5582"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/colegadeclasse.com.br\/blog\/wp-json\/wp\/v2\/media\/4658"}],"wp:attachment":[{"href":"https:\/\/colegadeclasse.com.br\/blog\/wp-json\/wp\/v2\/media?parent=4657"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/colegadeclasse.com.br\/blog\/wp-json\/wp\/v2\/categories?post=4657"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/colegadeclasse.com.br\/blog\/wp-json\/wp\/v2\/tags?post=4657"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}