{"id":164,"date":"2008-04-30T21:12:37","date_gmt":"2008-04-30T19:12:37","guid":{"rendered":"http:\/\/wordpress.callac.online\/index.php\/les-histogrammes-avec-xcas\/"},"modified":"2023-10-14T20:14:05","modified_gmt":"2023-10-14T18:14:05","slug":"les-histogrammes-avec-xcas","status":"publish","type":"page","link":"https:\/\/wordpress.callac.online\/index.php\/logiciels-mathematiques\/xcas\/statistiques-avec-xcas\/les-histogrammes-avec-xcas\/","title":{"rendered":"Les histogrammes avec Xcas"},"content":{"rendered":"

\nVoici comment on peut r\u00e9soudre un exercice classique sur les histogrammes).<\/p>\n

Enonc\u00e9<\/h2>\n
\n

Soit la s\u00e9rie suivante :<\/p>\n

$$5,1,4,6,7,9,4,5,8,6,7,4,2,5,9,7,1,4,5,0,5,1,4,5,6,1,7,8,9,4,3,7,1$$<\/p>\n

1) Regrouper les effectifs dans les classes suivantes :<\/p>\n

$[0~;~2[$, $[2~;~4[$, $[4~;~6[$,$[6~;~8[$,$[8~;~10]$.<\/p>\n

2) Construire l’histogramme correspondant.<\/p>\n

3) Regrouper les effectifs dans les classes suivantes :<\/p>\n

$[0~;~2[$, $[2~;~4[$, $[4~;~5[$,$[5~;~6[$,$[6~;~7[$,$[7~;~10]$.<\/p>\n

4) Construire l’histogramme correspondant. On donnera les amplitudes et les densit\u00e9s utilis\u00e9es.<\/p>\n

R\u00e9solution \u00e0 l’aide de Xcas<\/h2>\n
\n

\n\nX:=[5,1,4,6,7,9,4,5,8,6,7,4,2,5,9,7,1,4,5,0,5,1,4,5,6,1,7,8,9,4,3,7,1]\n<\/code>\n<\/font color><\/p>\n

1) Regrouper les effectifs dans les classes suivantes :<\/p>\n

$[0~;~2[$, $[2~;~4[$, $[4~;~6[$,$[6~;~8[$,$[8~;~10]$,<\/p>\n

\n\nC:=classes(X,0,2)\n<\/code>\n<\/font color><\/p>\n

$$\\left(\\beginarray<\/em>cc<\/em>\n 0.0 .. 2.0 & 6 \\\\\n 2.0 .. 4.0 & 2 \\\\\n 4.0 .. 6.0 & 12 \\\\\n 6.0 .. 8.0 & 8 \\\\\n 8.0 .. 10.0 & 5\n\\endarray<\/em>\\right) $$<\/p>\n

2) Construire l’histogramme correspondant.<\/p>\n

\n\nhistogram(C,affichage=vert+rempli+line_width_3)\n<\/code>\n<\/font color><\/p>\n

\"session-8.jpg\"<\/p>\n

3) Regrouper les effectifs dans les classes suivantes :<\/p>\n

$[0~;~2[$, $[2~;~4[$, $[4~;~5[$,$[5~;~6[$,$[6~;~7[$,$[7~;~10]$.<\/p>\n

\n\nC:=classes(X,[0..2,2..4,4..5,5..6,6..7,7..10])\n<\/code>\n<\/font color><\/p>\n

$$\\left(\\beginarray<\/em>cc<\/em>\n0 .. 2 & 6 \\\\\n2 .. 4 & 2 \\\\\n4 .. 5 & 6 \\\\\n5 .. 6 & 6 \\\\\n6 .. 7 & 3 \\\\\n7 .. 10 & 10\n\\endarray<\/em>\\right) $$<\/p>\n

4) Construire l’histogramme correspondant. On donnera les amplitudes et les densit\u00e9s utilis\u00e9es.<\/p>\n

\n\nhistogram(C,affichage=vert+rempli+line_width_3)\n<\/code>\n<\/font color><\/p>\n

\"session-7.jpg\"<\/p>\n

\n\namplitudes_densites(C):=\nlocal n,M,j;\nn:=size(C);\nM:=matrix(4,n+1);\nM[0,0]:=\"Intervalles\";\nM[1,0]:=\"Effectifs\";\nM[2,0]:=\"Amplitudes\";\nM[3,0]:=\"Densit\u00e9s\";<\/p>\n

for (j:=1;j<=n;j:=j+1)\n \n M[0,j]:=C[j-1,0];\n M[1,j]:=C[j-1,1];\n M[2,j]:=right(M[0,j])-left(M[0,j]);\n M[3,j]:=evalf(M[1,j]\/M[2,j]);\n <\/em>\nreturn M;\n<\/em>\n:;\n<\/code>\n<\/font color><\/p>\n

\/\/ Parsing amplitudes_densites<\/p>\n

\/\/ Success compiling amplitudes_densites<\/p>\n

\n\namplitudes_densites(C)\n<\/code>\n<\/font color><\/p>\n

$$\\left[\\beginarray<\/em>ccccccc<\/em>\n\\mboxIntervalles<\/em> & 0 .. 2 & 2 .. 4 & 4 .. 5 & 5 .. 6 & 6 .. 7 & 7 .. 10 \\\\\n\\mboxEffectifs<\/em> & 6 & 2 & 6 & 6 & 3 & 10 \\\\\n\\mboxAmplitudes<\/em> & 2 & 2 & 1 & 1 & 1 & 3 \\\\\n\\mboxDensites<\/em> & 3.0 & 1.0 & 6.0 & 6.0 & 3.0 & 3.333333\n\\endarray<\/em>\\right] $$<\/p>\n

<\/math><\/p>\n","protected":false},"excerpt":{"rendered":"

Voici comment on peut r\u00e9soudre un exercice classique sur les histogrammes). Enonc\u00e9 Soit la s\u00e9rie suivante : $$5,1,4,6,7,9,4,5,8,6,7,4,2,5,9,7,1,4,5,0,5,1,4,5,6,1,7,8,9,4,3,7,1$$ 1) Regrouper les effectifs dans les classes suivantes : $[0~;~2[$, $[2~;~4[$, $[4~;~6[$,$[6~;~8[$,$[8~;~10]$.…<\/p>\n","protected":false},"author":1,"featured_media":667,"parent":2228,"menu_order":5,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-164","page","type-page","status-publish","has-post-thumbnail","hentry"],"yoast_head":"\nLes histogrammes avec Xcas - Maths & Num\u00e9rique<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/wordpress.callac.online\/index.php\/logiciels-mathematiques\/xcas\/statistiques-avec-xcas\/les-histogrammes-avec-xcas\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Les histogrammes avec Xcas - Maths & Num\u00e9rique\" \/>\n<meta property=\"og:description\" content=\"Voici comment on peut r\u00e9soudre un exercice classique sur les histogrammes). Enonc\u00e9 Soit la s\u00e9rie suivante : $$5,1,4,6,7,9,4,5,8,6,7,4,2,5,9,7,1,4,5,0,5,1,4,5,6,1,7,8,9,4,3,7,1$$ 1) Regrouper les effectifs dans les classes suivantes : $[0~;~2[$, $[2~;~4[$, $[4~;~6[$,$[6~;~8[$,$[8~;~10]$.…\" \/>\n<meta property=\"og:url\" content=\"https:\/\/wordpress.callac.online\/index.php\/logiciels-mathematiques\/xcas\/statistiques-avec-xcas\/les-histogrammes-avec-xcas\/\" \/>\n<meta property=\"og:site_name\" content=\"Maths & Num\u00e9rique\" \/>\n<meta property=\"article:modified_time\" content=\"2023-10-14T18:14:05+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/04\/jpg_session-8.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"599\" \/>\n\t<meta property=\"og:image:height\" content=\"239\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/wordpress.callac.online\/index.php\/logiciels-mathematiques\/xcas\/statistiques-avec-xcas\/les-histogrammes-avec-xcas\/\",\"url\":\"https:\/\/wordpress.callac.online\/index.php\/logiciels-mathematiques\/xcas\/statistiques-avec-xcas\/les-histogrammes-avec-xcas\/\",\"name\":\"Les histogrammes avec Xcas - 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