{"id":26478,"date":"2023-06-08T21:17:46","date_gmt":"2023-06-08T20:17:46","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=26478"},"modified":"2023-06-08T22:02:38","modified_gmt":"2023-06-08T21:02:38","slug":"distribuicao-das-idades-dos-alunos-de-uma-turma","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=26478","title":{"rendered":"Distribui\u00e7\u00e3o das idades dos alunos de uma turma"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_26478' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_26478' class='GTTabs_curr'><a  id=\"26478_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_26478' ><a  id=\"26478_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_26478'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>A distribui\u00e7\u00e3o das idades dos alunos de uma turma \u00e9 dada pela seguinte tabela.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag222-1.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"26479\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=26479\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag222-1.png\" data-orig-size=\"630,269\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag222-1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag222-1.png\" class=\"aligncenter wp-image-26479\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag222-1-300x128.png\" alt=\"\" width=\"420\" height=\"179\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag222-1-300x128.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag222-1.png 630w\" sizes=\"auto, (max-width: 420px) 100vw, 420px\" \/><\/a><\/p>\n<ol>\n<li>O n\u00famero de alunos da turma \u00e9:<br \/><strong>[A]<\/strong> 12\u00a0 \u00a0 \u00a0 \u00a0 <strong>[B]<\/strong> 21\u00a0 \u00a0 \u00a0 \u00a0 <strong>[C]<\/strong> 17\u00a0 \u00a0 \u00a0 \u00a0 <strong>[D]<\/strong> 16<\/li>\n<li>A m\u00e9dia de idades dos alunos desta turma \u00e9:<br \/><strong>[A]<\/strong> superior a 14.<br \/><strong>[B]<\/strong> inferior a 14.<br \/><strong>[C]<\/strong> 14.<br \/><strong>[D]<\/strong> imposs\u00edvel de calcular.<\/li>\n<li>Se considerarmos a idade do professor de Matem\u00e1tica e calcularmos novamente a m\u00e9dia das idades, esta ser\u00e1:<br \/><strong>[A]<\/strong> inferior \u00e0 das idades dos alunos.<br \/><strong>[B]<\/strong> superior \u00e0 das idades dos alunos.<br \/><strong>[C]<\/strong> a mesma da das idades dos alunos.<br \/><strong>[D]<\/strong> imposs\u00edvel de calcular.<\/li>\n<li>A mediana das idades dos alunos \u00e9:<br \/><strong>[A]<\/strong> 13\u00a0 \u00a0 \u00a0 \u00a0 <strong>[B]<\/strong> 13,5\u00a0 \u00a0 \u00a0 \u00a0 <strong>[C]<\/strong> 14\u00a0 \u00a0 \u00a0 \u00a0 <strong>[D]<\/strong> 15<\/li>\n<li>A amplitude interquartil \u00e9:<br \/><strong>[A]<\/strong> 1\u00a0 \u00a0 \u00a0 \u00a0 <strong>[B]<\/strong> 2\u00a0 \u00a0 \u00a0 \u00a0 <strong>[C]<\/strong> 0,5\u00a0 \u00a0 \u00a0 \u00a0 <strong>[D]<\/strong> 0<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_26478' onClick='GTTabs_show(1,26478)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_26478'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>A distribui\u00e7\u00e3o das idades dos alunos de uma turma \u00e9 dada pela seguinte tabela.<\/p>\n<\/blockquote>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag222-1.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"26479\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=26479\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag222-1.png\" data-orig-size=\"630,269\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag222-1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag222-1.png\" class=\"aligncenter wp-image-26479\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag222-1-300x128.png\" alt=\"\" width=\"420\" height=\"179\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag222-1-300x128.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag222-1.png 630w\" sizes=\"auto, (max-width: 420px) 100vw, 420px\" \/><\/a><\/p>\n<ol>\n<li>O n\u00famero de alunos da turma \u00e9:<br \/><strong>[A]<\/strong> 12\u00a0 \u00a0 \u00a0 \u00a0 <strong>[B]<\/strong> <span style=\"color: #0000ff;\">21<\/span>\u00a0 \u00a0 \u00a0 \u00a0 <strong>[C]<\/strong> 17\u00a0 \u00a0 \u00a0 \u00a0 <strong>[D]<\/strong> 16<br \/><span style=\"color: #0000ff;\">pois \\(n = 5 + 12 + 4 = 21\\)<\/span>.<br \/><br \/><\/li>\n<li>A m\u00e9dia de idades dos alunos desta turma \u00e9:<br \/><strong>[A]<\/strong> superior a 14.<br \/><strong>[B]<\/strong> <span style=\"color: #0000ff;\">inferior a 14<\/span>.<br \/><strong>[C]<\/strong> 14.<br \/><strong>[D]<\/strong> imposs\u00edvel de calcular.<br \/><span style=\"color: #0000ff;\">pois h\u00e1 5 alunos com idade de 13 anos e apenas 4 com idade de 15 anos<\/span>.<br \/><br \/><\/li>\n<li>Se considerarmos a idade do professor de Matem\u00e1tica e calcularmos novamente a m\u00e9dia das idades, esta ser\u00e1:<br \/><strong>[A]<\/strong> inferior \u00e0 das idades dos alunos.<br \/><strong>[B]<\/strong> <span style=\"color: #0000ff;\">superior \u00e0 das idades dos alunos<\/span>.<br \/><strong>[C]<\/strong> a mesma da das idades dos alunos.<br \/><strong>[D]<\/strong> imposs\u00edvel de calcular.<br \/><br \/><\/li>\n<li>A mediana das idades dos alunos \u00e9:<br \/><strong>[A]<\/strong> 13\u00a0 \u00a0 \u00a0 \u00a0 <strong>[B]<\/strong> 13,5\u00a0 \u00a0 \u00a0 \u00a0 <strong>[C]<\/strong> <span style=\"color: #0000ff;\">14<\/span>\u00a0 \u00a0 \u00a0 \u00a0 <strong>[D]<\/strong> 15<br \/><span style=\"color: #0000ff;\">pois, se ordenarmos as idades por ordem crescente, identificamos que o valor que se encontra na 11.\u00aa posi\u00e7\u00e3o \u00e9 14<\/span>.<br \/><br \/><\/li>\n<li>A amplitude interquartil \u00e9:<br \/><strong>[A]<\/strong> 1\u00a0 \u00a0 \u00a0 \u00a0 <strong>[B]<\/strong> 2\u00a0 \u00a0 \u00a0 \u00a0 <strong>[C]<\/strong> <span style=\"color: #0000ff;\">0,5<\/span>\u00a0 \u00a0 \u00a0 \u00a0 <strong>[D]<\/strong> 0<br \/><span style=\"color: #0000ff;\">pois o primeiro quartil \u00e9 \\({Q_1} = \\frac{{{x_5} + {x_6}}}{2} = \\frac{{13 + 14}}{2} = 13,5\\) e o terceiro quartil \u00e9 \\({Q_3} = \\frac{{{x_{16}} + {x_{17}}}}{2} = \\frac{{14 + 14}}{2} = 14\\)<\/span>.<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_26478' onClick='GTTabs_show(0,26478)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado A distribui\u00e7\u00e3o das idades dos alunos de uma turma \u00e9 dada pela seguinte tabela. O n\u00famero de alunos da turma \u00e9:[A] 12\u00a0 \u00a0 \u00a0 \u00a0 [B] 21\u00a0 \u00a0 \u00a0 \u00a0 [C]&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":26481,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,717],"tags":[424,219,716,115],"series":[],"class_list":["post-26478","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-diagramas-de-extremos-e-quartis","tag-8-o-ano","tag-estatistica-2","tag-media","tag-mediana"],"views":107,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag222-1_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/26478","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=26478"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/26478\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/26481"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=26478"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=26478"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=26478"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=26478"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}