{"id":26529,"date":"2023-06-09T19:35:25","date_gmt":"2023-06-09T18:35:25","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=26529"},"modified":"2023-06-09T21:44:17","modified_gmt":"2023-06-09T20:44:17","slug":"a-turma-da-rita","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=26529","title":{"rendered":"A turma da Rita"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_26529' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_26529' class='GTTabs_curr'><a  id=\"26529_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_26529' ><a  id=\"26529_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_26529'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag223-2.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"26530\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=26530\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag223-2.png\" data-orig-size=\"310,259\" 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_Pag223-2\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag223-2.png\" class=\"alignright wp-image-26530\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag223-2-300x251.png\" alt=\"\" width=\"270\" height=\"226\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag223-2-300x251.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag223-2.png 310w\" sizes=\"auto, (max-width: 270px) 100vw, 270px\" \/><\/a>A Rita \u00e9 aluna do 8.\u00ba ano de uma escola do ensino b\u00e1sico.<\/p>\n<ol>\n<li>As idades dos alunos da turma da Rita distribuem-se de acordo com o diagrama circular representado ao lado.<br \/>Sabe-se que a turma da Rita tem um n\u00famero par de alunos.<br \/>Qual \u00e9 a mediana das idades dos alunos da turma da Rita?<\/li>\n<li>Com o objetivo de ocupar os tempos livres, a Rita inscreveu-se numa classe de dan\u00e7a, num gin\u00e1sio.<br \/>Com a entrada da Rita, a classe ficou com vinte alunos. A m\u00e9dia das idades destes vinte alunos \u00e9 13,2 anos.<br \/>No final da primeira semana, dois alunos de 15 anos abandonaram a classe.<br \/>Qual passou a ser a m\u00e9dia das idades dos alunos da classe, admitindo que a idade de cada um n\u00e3o se alterou nessa semana? Mostra como chegaste \u00e0 tua resposta.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_26529' onClick='GTTabs_show(1,26529)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_26529'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag223-2.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"26530\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=26530\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag223-2.png\" data-orig-size=\"310,259\" 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_Pag223-2\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag223-2.png\" class=\"alignright wp-image-26530\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag223-2-300x251.png\" alt=\"\" width=\"270\" height=\"226\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag223-2-300x251.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag223-2.png 310w\" sizes=\"auto, (max-width: 270px) 100vw, 270px\" \/><\/a>A Rita \u00e9 aluna do 8.\u00ba ano de uma escola do ensino b\u00e1sico.<\/p>\n<\/blockquote>\n<ol>\n<li>Se a turma da Rita tem um n\u00famero par de alunos, ent\u00e3o o n\u00famero de alunos com 13 anos \u00e9 igual ao n\u00famero de alunos com 14 ou 15 anos.<br \/>Assim, ordenado esse n\u00famero par de idades por ordem crescente, constatamos que os dois valores centrais s\u00e3o 13 e 14. Logo, a mediana das idades dos alunos da turma da Rita \u00e9 \\(\\tilde x = \\frac{{13 + 14}}{2} = 13,5\\) anos.<br \/><br \/><\/li>\n<li>Ora, se a m\u00e9dia das idades destes vinte alunos \u00e9 13,2 anos, ent\u00e3o a soma das idades desses vinte alunos \u00e9 \\({S_{20}} = 20 \\times 13,2 = 264\\) anos.<br \/>Quando, no final da primeira semana, dois alunos de 15 anos abandonaram a classe, a soma anterior diminuiu de 30 anos, obtendo-se \\({S_{18}} = 264 &#8211; 30 = 234\\) anos.<br \/>Admitindo que a idade de cada um n\u00e3o se alterou nessa semana, ent\u00e3o a m\u00e9dia das idades dos alunos da classe passou a ser \\({{\\bar x}_{18}} = \\frac{{234}}{{18}} = 13\\) anos.<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_26529' onClick='GTTabs_show(0,26529)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado A Rita \u00e9 aluna do 8.\u00ba ano de uma escola do ensino b\u00e1sico. As idades dos alunos da turma da Rita distribuem-se de acordo com o diagrama circular representado ao lado.Sabe-se&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":26531,"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-26529","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":188,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag223-2_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/26529","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=26529"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/26529\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/26531"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=26529"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=26529"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=26529"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=26529"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}