{"id":395,"date":"2016-04-28T20:07:30","date_gmt":"2016-04-28T19:07:30","guid":{"rendered":"http:\/\/mathsguyon.fr\/?page_id=395"},"modified":"2018-03-04T21:46:44","modified_gmt":"2018-03-04T20:46:44","slug":"synthese","status":"publish","type":"page","link":"https:\/\/mathsguyon.fr\/?page_id=395","title":{"rendered":"Exercices corrig\u00e9s  synth\u00e8se :"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"color: #0000ff;\"><strong>M\u00e9thode de travail :<\/strong><\/span><\/h2>\n<p><span style=\"color: #0000ff;\"><b><i>Pour que ces exercices soient utiles, vous devez les travailler avant par \u00e9crit, comme vous le feriez en devoir surveill\u00e9. Sans aide, ni cours.<\/i><\/b><\/span><\/p>\n<ol>\n<li><span style=\"color: #0000ff;\"><b><i>Si vous n&rsquo;arrivez pas \u00e0 d\u00e9marrer, <span style=\"color: #ff0000;\">regarder alors l&rsquo;aide<\/span> pour vous lancer.<\/i><\/b><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><b><i>Une fois que vous avez termin\u00e9, comparez votre r\u00e9sultat avec le <span style=\"color: #ff0000;\">r\u00e9sultat brut<\/span>. S&rsquo;ils sont diff\u00e9rents, essayer de chercher vous m\u00eame l&rsquo;erreur. C&rsquo;est la meilleure fa\u00e7on de progresser.<\/i><\/b><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><b><i>Regardez obligatoirement ensuite la <span style=\"color: #ff0000;\">correction en vid\u00e9o <\/span><\/i><\/b><b><i>pour juger votre travail, m\u00eame si vous pensez avoir trouv\u00e9 juste, afin de v\u00e9rifier votre r\u00e9daction et d&rsquo;\u00e9ventuelles erreurs qui n&rsquo;auraient pas impact\u00e9 le r\u00e9sultat.<\/i><\/b><\/span><\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<h3><strong><span style=\"color: #ff0000;\">Exercice 1 :<\/span><\/strong><\/h3>\n<h3>Durant une comp\u00e9tition d&rsquo;athl\u00e9tisme, les 7 concurrents ont couru les 200 m avec les temps suivants (en secondes) :<\/h3>\n<h3>20,25 ; 20,12 ; 20,48 ; 20,09 ; 20,69 ; 20,19 et 20,38.<\/h3>\n<h3>Calculer l&rsquo;\u00e9tendue, la moyenne (arrondie au centi\u00e8me) et la m\u00e9diane de cette s\u00e9rie.<\/h3>\n<h3 style=\"text-align: center;\"><a href=\"http:\/\/mathsguyon.fr\/?page_id=405\">Aide pour d\u00e9marrer<\/a>\u00a0 \u00a0 \u00a0 \u00a0\u00a0 <a href=\"http:\/\/mathsguyon.fr\/?page_id=403\">R\u00e9sultats bruts<\/a> \u00a0 \u00a0 \u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/youtube.com\/embed\/zxk6e52sMi8\">Correction en vid\u00e9o<\/a><\/h3>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3><span style=\"color: #ff0000;\">Exercice 2 :<\/span><\/h3>\n<h3 align=\"justify\">Le tableau concerne le nombre de sports pratiqu\u00e9s par les 28 \u00e9l\u00e8ves d&rsquo;une classe.<\/h3>\n<table width=\"100%\" cellspacing=\"0\" cellpadding=\"4\">\n<colgroup>\n<col width=\"112*\" \/>\n<col width=\"28*\" \/>\n<col width=\"29*\" \/>\n<col width=\"29*\" \/>\n<col width=\"29*\" \/>\n<col width=\"29*\" \/> <\/colgroup>\n<tbody>\n<tr>\n<td bgcolor=\"#ccffff\" width=\"44%\" height=\"14\">\n<h3 align=\"left\">Nombre de sports pratiqu\u00e9s<\/h3>\n<\/td>\n<td width=\"11%\">\n<h3 align=\"center\">0<\/h3>\n<\/td>\n<td width=\"11%\">\n<h3 align=\"center\">1<\/h3>\n<\/td>\n<td width=\"11%\">\n<h3 align=\"center\">2<\/h3>\n<\/td>\n<td width=\"11%\">\n<h3 align=\"center\">3<\/h3>\n<\/td>\n<td width=\"11%\">\n<h3 align=\"center\">4<\/h3>\n<\/td>\n<\/tr>\n<tr>\n<td bgcolor=\"#ccffff\" width=\"44%\" height=\"15\">\n<h3 align=\"left\">Effectifs<\/h3>\n<\/td>\n<td width=\"11%\">\n<h3 align=\"center\">2<\/h3>\n<\/td>\n<td width=\"11%\">\n<h3 align=\"center\">6<\/h3>\n<\/td>\n<td width=\"11%\">\n<h3 align=\"center\">5<\/h3>\n<\/td>\n<td width=\"11%\">\n<h3 align=\"center\">10<\/h3>\n<\/td>\n<td width=\"11%\">\n<h3 align=\"center\">5<\/h3>\n<\/td>\n<\/tr>\n<tr>\n<td bgcolor=\"#ccffff\" width=\"44%\" height=\"14\">\n<h3 align=\"left\">Effectifs cumul\u00e9s croissants<\/h3>\n<\/td>\n<td width=\"11%\"><\/td>\n<td width=\"11%\"><\/td>\n<td width=\"11%\"><\/td>\n<td width=\"11%\"><\/td>\n<td width=\"11%\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3 align=\"justify\">Compl\u00e8te le tableau puis en d\u00e9duire une m\u00e9diane de cette s\u00e9rie. Interpr\u00e9ter la m\u00e9diane avec une phrase.<\/h3>\n<h3 align=\"justify\"><\/h3>\n<h3 style=\"text-align: center;\" align=\"justify\"><a href=\"http:\/\/mathsguyon.fr\/?page_id=412\">Aide pour d\u00e9marrer<\/a>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <a href=\"http:\/\/mathsguyon.fr\/?page_id=409\">R\u00e9sultats bruts<\/a>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/youtube.com\/embed\/C_AjEZHOkmA\" target=\"_blank\">correction<\/a><\/h3>\n<h3><\/h3>\n<h3><\/h3>\n<p>&nbsp;<\/p>\n<h3><\/h3>\n<h3><span style=\"color: #ff0000;\">Exercice 3 :<\/span><\/h3>\n<h3 align=\"justify\">Voici le diagramme en b\u00e2tons des notes obtenues par une classe de Troisi\u00e8me de 24 \u00e9l\u00e8ves au dernier devoir de math\u00e9matiques.<\/h3>\n<p align=\"justify\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"data:image\/png;base64,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\" alt=\"\" width=\"527\" height=\"222\" name=\"Objet16\" align=\"left\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>a. D\u00e9termine les valeurs [math]Q_1 [\/math] et [math] Q_3 [\/math]du premier et troisi\u00e8me quartile de cette s\u00e9rie statistique.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <a href=\"http:\/\/mathsguyon.fr\/?page_id=420\">Aides pour d\u00e9marrer<\/a>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <a href=\"http:\/\/mathsguyon.fr\/?page_id=426\">R\u00e9sultats brut<\/a><\/h3>\n<h3>b. Quelle est la fr\u00e9quence de la note 12\u00a0?\u00a0\u00a0 <a href=\"http:\/\/mathsguyon.fr\/?page_id=422\">Aides pour d\u00e9marrer <\/a>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <a href=\"http:\/\/mathsguyon.fr\/?page_id=436\">R\u00e9sultats bruts<\/a><\/h3>\n<h2 style=\"text-align: center;\"><a href=\"https:\/\/youtube.com\/embed\/N49-vn0W94c\" target=\"_blank\">Correction compl\u00e8te de l&rsquo;exercice<\/a><\/h2>\n","protected":false},"excerpt":{"rendered":"<p>M\u00e9thode de travail : Pour que ces exercices soient utiles, vous devez les travailler avant par \u00e9crit, comme vous le feriez en devoir surveill\u00e9. Sans aide, ni cours. Si vous n&rsquo;arrivez pas \u00e0 d\u00e9marrer, regarder alors l&rsquo;aide pour vous lancer. &hellip; <a href=\"https:\/\/mathsguyon.fr\/?page_id=395\">Continuer la lecture <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":295,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-395","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages\/395","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=395"}],"version-history":[{"count":17,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages\/395\/revisions"}],"predecessor-version":[{"id":463,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages\/395\/revisions\/463"}],"up":[{"embeddable":true,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages\/295"}],"wp:attachment":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=395"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}