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{"id":6841,"date":"2011-05-18T00:51:12","date_gmt":"2011-05-17T23:51:12","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=6841"},"modified":"2022-01-18T01:47:20","modified_gmt":"2022-01-18T01:47:20","slug":"as-musicas-de-um-cd","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=6841","title":{"rendered":"As m\u00fasicas de um CD"},"content":{"rendered":"<p><ul id='GTTabs_ul_6841' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_6841' class='GTTabs_curr'><a  id=\"6841_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_6841' ><a  id=\"6841_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_6841'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Os n\u00fameros expressos na tabela abaixo mostram, em minutos e segundos, o tempo de dura\u00e7\u00e3o de cada m\u00fasica de um CD.<\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/05\/v2pag18-3.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6843\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6843\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/05\/v2pag18-3.jpg\" data-orig-size=\"801,55\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;HP pstc4380&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;}\" data-image-title=\"Dura\u00e7\u00e3o da m\u00fasicas de um CD\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/05\/v2pag18-3.jpg\" class=\"aligncenter size-full wp-image-6843\" title=\"Dura\u00e7\u00e3o da m\u00fasicas de um CD\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/05\/v2pag18-3.jpg\" alt=\"\" width=\"641\" height=\"44\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/05\/v2pag18-3.jpg 801w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/05\/v2pag18-3-300x20.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/05\/v2pag18-3-150x10.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/05\/v2pag18-3-400x27.jpg 400w\" sizes=\"auto, (max-width: 641px) 100vw, 641px\" \/><\/a><\/p>\n<ol>\n<li>Agrupa os dados em intervalos de 30 segundos (iniciando a primeira classe por 1 minuto) e elabora uma tabela de frequ\u00eancias absolutas.<\/li>\n<li>Constr\u00f3i um histograma e o correspondente pol\u00edgono de frequ\u00eancia.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_6841' onClick='GTTabs_show(1,6841)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_6841'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li>\u00ad<br \/>\n<table class=\"aligncenter\" style=\"width: 80%;\" border=\"2\" cellspacing=\"4\" cellpadding=\"4\" align=\"center\">\n<caption>Dura\u00e7\u00e3o das m\u00fasicas de um CD (em minutos e segundos)<\/caption>\n<tbody>\n<tr>\n<td style=\"text-align: center;\"><strong>Dura\u00e7\u00e3o<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>Contagem<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>Freq. absoluta<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>Freq. absoluta acumulada<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">1:00 &#8211; 1:30<\/td>\n<td style=\"text-align: center;\">|||<\/td>\n<td style=\"text-align: center;\">3<\/td>\n<td style=\"text-align: center;\">3<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">1:30 &#8211; 2:00<\/td>\n<td style=\"text-align: center;\">||||<\/td>\n<td style=\"text-align: center;\">4<\/td>\n<td style=\"text-align: center;\">7<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">2:00 &#8211; 2:30<\/td>\n<td style=\"text-align: center;\">|||||<\/td>\n<td style=\"text-align: center;\">5<\/td>\n<td style=\"text-align: center;\">12<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">2:30 &#8211; 3:00<\/td>\n<td style=\"text-align: center;\">|||<\/td>\n<td style=\"text-align: center;\">3<\/td>\n<td style=\"text-align: center;\">15<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">3:00 &#8211; 3:30<\/td>\n<td style=\"text-align: center;\">||||<\/td>\n<td style=\"text-align: center;\">4<\/td>\n<td style=\"text-align: center;\">19<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">3:30 &#8211; 4:00<\/td>\n<td style=\"text-align: center;\">|<\/td>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center;\">20<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><strong>TOTAL<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>&#8211;<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>20<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>&#8211;<\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u00ad<\/p>\n<\/li>\n<li>Apresenta-se, seguidamente,\u00a0o histograma e o pol\u00edgono de frequ\u00eancias absolutas:<a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/05\/3G1.gif\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6844\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6844\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/05\/3G1.gif\" data-orig-size=\"511,340\" 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;}\" data-image-title=\"Histograma e pol\u00edgono de frequ\u00eancia\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/05\/3G1.gif\" class=\"aligncenter size-full wp-image-6844\" title=\"Histograma e pol\u00edgono de frequ\u00eancia\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/05\/3G1.gif\" alt=\"\" width=\"511\" height=\"340\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/05\/3G1.gif 511w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/05\/3G1-300x199.gif 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/05\/3G1-150x99.gif 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/05\/3G1-400x266.gif 400w\" sizes=\"auto, (max-width: 511px) 100vw, 511px\" \/><\/a><\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_6841' onClick='GTTabs_show(0,6841)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Os n\u00fameros expressos na tabela abaixo mostram, em minutos e segundos, o tempo de dura\u00e7\u00e3o de cada m\u00fasica de um CD. Agrupa os dados em intervalos de 30 segundos (iniciando a&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20578,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,183],"tags":[184,185],"series":[],"class_list":["post-6841","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-estatistica","tag-histograma","tag-poligono-de-frequencia"],"views":3226,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/05\/8V2Pag018-3_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6841","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=6841"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6841\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20578"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6841"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6841"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6841"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=6841"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}