{"id":165,"date":"2008-05-04T14:42:19","date_gmt":"2008-05-04T12:42:19","guid":{"rendered":"http:\/\/wordpress.callac.online\/index.php\/diagrammes-en-batons-et-camembert-avec-xcas\/"},"modified":"2023-10-14T20:14:04","modified_gmt":"2023-10-14T18:14:04","slug":"diagrammes-en-batons-et-camembert-avec-xcas","status":"publish","type":"page","link":"https:\/\/wordpress.callac.online\/index.php\/logiciels-mathematiques\/xcas\/statistiques-avec-xcas\/diagrammes-en-batons-et-camembert-avec-xcas\/","title":{"rendered":"Diagrammes en b\u00e2tons et camembert avec Xcas"},"content":{"rendered":"

\nVoici comment on peut r\u00e9soudre un exercice classique sur les diagrammes eb b\u00e2tons et les camemberts.<\/p>\n

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

Voici le r\u00e9partition des supporters parmi un groupe de 50 personnes de S\u00e3o Paulo : <\/p>\n\n\n\n\n
Clubs <\/td>\n Santos <\/td>\n S\u00e3o Paulo FC <\/td>\n Palmeiras <\/td>\n Corinthians <\/td>\n<\/tr>\n
Nombre de supporters <\/td>\n5 <\/td>\n 15 <\/td>\n 20 <\/td>\n 10 <\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

1) Calculer les fr\u00e9quences correspondantes.<\/p>\n

2) Tracer le diagramme en b\u00e2tons correspondant.<\/p>\n

3) Tracer le camembert correspondant. On donnera les valeurs des diff\u00e9rents angles.<\/p>\n

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

\n\nX:=[\"Santos\",\"S\u00e3o Paulo FC\",\"Palmeiras\",\"Corinthians\"]\n<\/code>\n<\/font color><\/p>\n

$$[\\mboxSantos<\/em>,\\mboxS\u00e3o Paulo FC<\/em>,\\mboxPalmeiras<\/em>,\\mboxCorinthians<\/em>]$$<\/p>\n

\n\nEffectifs:=[5,15,20,10]\n<\/code>\n<\/font color><\/p>\n

[5,15,20,10]<\/p>\n

1) Calculer les fr\u00e9quences correspondantes.<\/p>\n

\n\nfrequences(X,E):=\nlocal n,N,M,j;\nn:=size(E);\nN:=sum(E);\nM:=matrix(3,n+2);\nM[0,0]:=\"----------\";\nM[1,0]:=\"Effectifs\";\nM[2,0]:=\"Fr\u00e9quences (en %)\";\nM[0,n+1]:=\"Total\";\nM[1,n+1]:=N;\nM[2,n+1]:=100.0;\nfor (j:=1;j<=n;j:=j+1) \n M[0,j]:=X[j-1];\n M[1,j]:=E[j-1];\n M[2,j]:=evalf(E[j-1]\/N*100);\n <\/em> \nreturn M;\n<\/em>\n:;\n<\/code>\n<\/font color><\/p>\n

\/\/ Parsing frequences<\/p>\n

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

\n\nfrequences(X,Effectifs)\n<\/code>\n<\/font color><\/p>\n

$$\\left[\\beginarray<\/em>cccccc<\/em>\n\\mbox———-<\/em> & \\mboxSantos<\/em> & \\mboxSao Paulo FC<\/em> & \\mboxPalmeiras<\/em> & \\mboxCorinthians<\/em> & \\mboxTotal<\/em> \\\\\n\\mboxEffectifs<\/em> & 5 & 15 & 20 & 10 & 50 \\\\\n\\mboxFrequences (en \\%)<\/em> & 10.0 & 30.0 & 40.0 & 20.0 & 100.0\n\\endarray<\/em>\\right] $$<\/p>\n

2) Tracer le diagramme en b\u00e2tons correspondant.<\/p>\n

\n\ndiagramme_batons(X,Effectifs)\n<\/code>\n<\/font color><\/p>\n

\"diagramme.jpg\"<\/p>\n

3) Tracer le camembert correspondant. On donnera les valeurs des diff\u00e9rents angles.<\/p>\n

\n\nangles(X,E):=\nlocal n,N,M,j;\nn:=size(E);\nN:=sum(E);\nM:=matrix(3,n+2);\nM[0,0]:=\"----------\";\nM[1,0]:=\"Effectifs\";\nM[2,0]:=\"Angles (en degr\u00e9s)\";\nM[0,n+1]:=\"Total\";\nM[1,n+1]:=N;\nM[2,n+1]:=360.0;\nfor (j:=1;j<=n;j:=j+1) \n M[0,j]:=X[j-1];\n M[1,j]:=E[j-1];\n M[2,j]:=evalf(E[j-1]\/N*360);\n <\/em> \nreturn M;\n<\/em>\n:;\n<\/code>\n<\/font color><\/p>\n

\/\/ Parsing angles<\/p>\n

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

\n\nangles(X,Effectifs)\n<\/code>\n<\/font color><\/p>\n

$$\\left[\\beginarray<\/em>cccccc<\/em>\n\\mbox———-<\/em> & \\mboxSantos<\/em> & \\mboxSao Paulo FC<\/em> & \\mboxPalmeiras<\/em> & \\mboxCorinthians<\/em> & \\mboxTotal<\/em> \\\\\n\\mboxEffectifs<\/em> & 5 & 15 & 20 & 10 & 50 \\\\\n\\mboxAngles (en degres)<\/em> & 36.0 & 108.0 & 144.0 & 72.0 & 360.0\n\\endarray<\/em>\\right] $$<\/p>\n

\n\ncamembert(X,Effectifs)\n<\/code>\n<\/font color><\/p>\n

\"camembert.jpg\"<\/p>\n

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

Voici comment on peut r\u00e9soudre un exercice classique sur les diagrammes eb b\u00e2tons et les camemberts. Enonc\u00e9 Voici le r\u00e9partition des supporters parmi un groupe de 50 personnes de S\u00e3o…<\/p>\n","protected":false},"author":1,"featured_media":669,"parent":2228,"menu_order":4,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-165","page","type-page","status-publish","has-post-thumbnail","hentry"],"yoast_head":"\nDiagrammes en b\u00e2tons et camembert 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\/diagrammes-en-batons-et-camembert-avec-xcas\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Diagrammes en b\u00e2tons et camembert avec Xcas - Maths & Num\u00e9rique\" \/>\n<meta property=\"og:description\" content=\"Voici comment on peut r\u00e9soudre un exercice classique sur les diagrammes eb b\u00e2tons et les camemberts. Enonc\u00e9 Voici le r\u00e9partition des supporters parmi un groupe de 50 personnes de S\u00e3o…\" \/>\n<meta property=\"og:url\" content=\"https:\/\/wordpress.callac.online\/index.php\/logiciels-mathematiques\/xcas\/statistiques-avec-xcas\/diagrammes-en-batons-et-camembert-avec-xcas\/\" \/>\n<meta property=\"og:site_name\" content=\"Maths & Num\u00e9rique\" \/>\n<meta property=\"article:modified_time\" content=\"2023-10-14T18:14:04+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/05\/jpg_diagramme.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"599\" \/>\n\t<meta property=\"og:image:height\" content=\"236\" \/>\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\/diagrammes-en-batons-et-camembert-avec-xcas\/\",\"url\":\"https:\/\/wordpress.callac.online\/index.php\/logiciels-mathematiques\/xcas\/statistiques-avec-xcas\/diagrammes-en-batons-et-camembert-avec-xcas\/\",\"name\":\"Diagrammes en b\u00e2tons et camembert avec Xcas - 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