{"id":2571,"date":"2019-11-01T10:01:48","date_gmt":"2019-11-01T09:01:48","guid":{"rendered":"http:\/\/jhmaths.fr\/?page_id=2571"},"modified":"2024-11-27T22:24:36","modified_gmt":"2024-11-27T21:24:36","slug":"frequences-conditionnelles","status":"publish","type":"page","link":"https:\/\/jhmaths.fr\/index.php\/premiere-technologique\/frequences-conditionnelles\/","title":{"rendered":"Fr\u00e9quences conditionnelles"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center\">Fr\u00e9quences<\/h2>\n\n\n\n<p class=\"propriete\"><strong>Propri\u00e9t\u00e9 :<\/strong><br>La fr\u00e9quence d&rsquo;une sous-population \\(N_A\\) dans une population \\(N_E\\) s&rsquo;\u00e9crit $f=\\frac{N_A}{N_E} \\hspace{10px} \\left(= \\frac{\\text{effectif}}{\\text{effectif total}}\\right)$, exprim\u00e9e plut\u00f4t en nombre d\u00e9cimal, mais aussi en fraction ou en pourcentage.<\/p>\n\n\n\n<p><strong>Exemple<\/strong> :<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">V\u00e9hicule<\/td><td class=\"has-text-align-center\" data-align=\"center\">Train<\/td><td class=\"has-text-align-center\" data-align=\"center\">Bus<\/td><td class=\"has-text-align-center\" data-align=\"center\">Voiture<\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>Total<\/strong><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Effectif<\/td><td class=\"has-text-align-center\" data-align=\"center\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-accent-3-color\"><strong>73<\/strong><\/mark><\/td><td class=\"has-text-align-center\" data-align=\"center\">28<\/td><td class=\"has-text-align-center\" data-align=\"center\">14<\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-accent-3-color\">115<\/mark><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>La fr\u00e9quence d&rsquo;usagers du train vaut $\\dfrac{73}{115}\\approx 0,635 \\hspace{10px}  (=63,5 \\%) $<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-rich is-provider-prise-en-charge-des-contenus-embarqu-s wp-block-embed-prise-en-charge-des-contenus-embarqu-s wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Calculer des fr\u00e9quences - Troisi\u00e8me - Seconde\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/GWDDay-mdVA?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<div style=\"height:70px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading\">Quizz<\/h2>\n\n\n\n<p>Ci-dessous la r\u00e9partition des h\u00f4tels en Franche-Comt\u00e9 :<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"512\" height=\"78\" src=\"https:\/\/jhmaths.fr\/wp-content\/uploads\/2020\/09\/tableau-du-cours-quizz-1.png\" alt=\"\" class=\"wp-image-3154\" srcset=\"https:\/\/jhmaths.fr\/wp-content\/uploads\/2020\/09\/tableau-du-cours-quizz-1.png 512w, https:\/\/jhmaths.fr\/wp-content\/uploads\/2020\/09\/tableau-du-cours-quizz-1-300x46.png 300w\" sizes=\"auto, (max-width: 512px) 100vw, 512px\" \/><\/figure>\n\n\n<div class=\"h5p-iframe-wrapper\"><iframe id=\"h5p-iframe-39\" class=\"h5p-iframe\" data-content-id=\"39\" style=\"height:1px\" src=\"about:blank\" frameBorder=\"0\" scrolling=\"no\" title=\"Calculer une fr\u00e9quence\"><\/iframe><\/div>\n\n\n\n<div style=\"height:70px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center\">Fr\u00e9quences marginales<\/h2>\n\n\n\n<p class=\"propriete\"><strong>D\u00e9finition<\/strong><br>Dans un tableau crois\u00e9, la fr\u00e9quence marginale d&rsquo;une population est la fr\u00e9quence de la population dans une marge (ligne ou colonne \u00ab\u00a0<strong>Total<\/strong>\u00ab\u00a0).<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"456\" height=\"145\" src=\"https:\/\/jhmaths.fr\/wp-content\/uploads\/2020\/09\/1-ere-techno-frequences-conditionnelles-tableau-du-cours-2.png\" alt=\"\" class=\"wp-image-3156\" srcset=\"https:\/\/jhmaths.fr\/wp-content\/uploads\/2020\/09\/1-ere-techno-frequences-conditionnelles-tableau-du-cours-2.png 456w, https:\/\/jhmaths.fr\/wp-content\/uploads\/2020\/09\/1-ere-techno-frequences-conditionnelles-tableau-du-cours-2-300x95.png 300w\" sizes=\"auto, (max-width: 456px) 100vw, 456px\" \/><\/figure>\n\n\n\n<p>Fr\u00e9quence (marginale) de lyc\u00e9ens : $\\dfrac{92}{200}$<\/p>\n\n\n\n<div style=\"height:70px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center\">Fr\u00e9quences conditionnelles<\/h2>\n\n\n\n<p>Dans un tableau crois\u00e9, la fr\u00e9quence conditionnelle d&rsquo;une population A dans une population B se calcule \u00e0 l&rsquo;int\u00e9rieur d&rsquo;une ligne ou d&rsquo;une colonne ; elle est not\u00e9e \\(f_B(A)\\) (on lit \u00ab\u00a0\\(f\\) de \\(A\\) sachant \\(B\\)\u00a0\u00bb)<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"456\" height=\"145\" src=\"https:\/\/jhmaths.fr\/wp-content\/uploads\/2020\/09\/1-ere-techno-frequences-conditionnelles-tableau-du-cours-2.png\" alt=\"\" class=\"wp-image-3156\" srcset=\"https:\/\/jhmaths.fr\/wp-content\/uploads\/2020\/09\/1-ere-techno-frequences-conditionnelles-tableau-du-cours-2.png 456w, https:\/\/jhmaths.fr\/wp-content\/uploads\/2020\/09\/1-ere-techno-frequences-conditionnelles-tableau-du-cours-2-300x95.png 300w\" sizes=\"auto, (max-width: 456px) 100vw, 456px\" \/><\/figure>\n\n\n\n<p>Dans le tableau pr\u00e9c\u00e9dent, parmi les lyc\u00e9ens, la fr\u00e9quence d&rsquo;\u00e9l\u00e8ves prenant leur v\u00e9hicule personnel vaut :<\/p>\n\n\n\n<p>$f_L(V)=\\dfrac{12}{92}$<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-rich is-provider-prise-en-charge-des-contenus-embarqu-s wp-block-embed-prise-en-charge-des-contenus-embarqu-s wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Calculer une fr\u00e9quence conditionnelle ou marginale - Premi\u00e8re ESM et Techno\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/SkhjnCoExD8?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Fr\u00e9quences Propri\u00e9t\u00e9 :La fr\u00e9quence d&rsquo;une sous-population \\(N_A\\) dans une population \\(N_E\\) s&rsquo;\u00e9crit $f=\\frac{N_A}{N_E} \\hspace{10px} \\left(= \\frac{\\text{effectif}}{\\text{effectif total}}\\right)$, exprim\u00e9e plut\u00f4t en nombre d\u00e9cimal, mais aussi en fraction ou en pourcentage. Exemple : V\u00e9hicule Train Bus Voiture Total Effectif 73 28 14 115 La fr\u00e9quence d&rsquo;usagers du train vaut $\\dfrac{73}{115}\\approx 0,635 \\hspace{10px} (=63,5 \\%) $ Quizz Ci-dessous [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":2319,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"folder":[],"class_list":["post-2571","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/pages\/2571","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/comments?post=2571"}],"version-history":[{"count":53,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/pages\/2571\/revisions"}],"predecessor-version":[{"id":3896,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/pages\/2571\/revisions\/3896"}],"up":[{"embeddable":true,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/pages\/2319"}],"wp:attachment":[{"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/media?parent=2571"}],"wp:term":[{"taxonomy":"folder","embeddable":true,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/folder?post=2571"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}