{"id":6569,"date":"2025-07-15T13:34:48","date_gmt":"2025-07-15T13:34:48","guid":{"rendered":"https:\/\/functiontranslator.com\/gauss\/"},"modified":"2021-02-26T08:07:00","modified_gmt":"2021-02-26T08:07:00","slug":"gauss","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/fr\/gauss\/","title":{"rendered":"GAUSS"},"content":{"rendered":"

Description et syntaxe<\/h2>\n

La fonction GAUSS dans Microsoft Excel et Google Sheets est utilis\u00e9e pour calculer la probabilit\u00e9 qu’une variable al\u00e9atoire, suivant une distribution normale standard, r\u00e9sulte en une valeur inf\u00e9rieure \u00e0 un z-value sp\u00e9cifi\u00e9. La distribution normale standard se caract\u00e9rise par une moyenne de 0 et un \u00e9cart type de 1. Cette fonction trouve des applications vari\u00e9es dans des domaines tels que la statistique, la finance et l’ing\u00e9nierie.<\/p>\n

La syntaxe de la fonction est :<\/p>\n

=GAUSS(z)<\/code><\/pre>\n
o\u00f9 z<\/strong> est le z-value ou score standard de la distribution normale.<\/p>\n
Exemples d’usage<\/h2>\n
Exemple 1 :<\/strong> Pour d\u00e9terminer la probabilit\u00e9 qu’une observation d’une distribution normale standard soit inf\u00e9rieure \u00e0 1.96 (un z-score fr\u00e9quemment employ\u00e9 dans les tests de signification statistique) :<\/p>\n
=GAUSS(1.96)<\/code><\/pre>\n
Cela produira approximativement 0.975, sugg\u00e9rant que 97.5% des valeurs se situent en dessous de 1.96.<\/p>\n
Exemple 2 :<\/strong> Pour calculer la probabilit\u00e9 qu’une valeur soit inf\u00e9rieure \u00e0 -0.5 :<\/p>\n
=GAUSS(-0.5)<\/code><\/pre>\n
La fonction indiquera environ 0.309, montrant ainsi que 30.9% des valeurs sous une distribution normale standard sont inf\u00e9rieures \u00e0 -0.5.<\/p>\n
Sc\u00e9narios pratiques<\/h2>\n
Sc\u00e9nario 1 : Analyse de performance acad\u00e9mique<\/h2>\n
Un professeur veut analyser le pourcentage d’\u00e9tudiants qui se classent dans les 95% sup\u00e9rieurs en performance sur une \u00e9chelle qui suit une distribution normale. La valeur critique correspondante est d’environ 1.645.<\/p>\n
Calcul :<\/strong><\/p>\n
=GAUSS(1.645)<\/code><\/pre>\n
Ce calcul montrera que pr\u00e8s de 95% des \u00e9tudiants sont sous ce score. Le professeur peut alors d\u00e9duire le nombre exact d’\u00e9l\u00e8ves en faisant le calcul avec le nombre total d’\u00e9tudiants.<\/p>\n
Sc\u00e9nario 2 : Finance et pr\u00e9vision de risques<\/h2>\n
Un analyste financier \u00e9value le risque de pertes sur un portefeuille d’investissements en utilisant un z-score de -1.28, qui repr\u00e9sente le seuil du 10\u00e8me percentile dans l’\u00e9valuation des risques, commun\u00e9ment utilis\u00e9 dans les approches de \u00ab\u00a0value at risk\u00a0\u00bb (VaR).<\/p>\n
Calcul :<\/strong><\/p>\n
=GAUSS(-1.28)<\/code><\/pre>\n
Ce calcul signifie que 10% ou moins des valeurs sont en dessous de ce niveau, ce qui permet \u00e0 l’analyste de mieux comprendre et quantifier le risque potentiel de pertes significatives dans le portefeuille.<\/p>\n","protected":false},"excerpt":{"rendered":"
Renvoie 0,5 de moins que la distRibution cumul\u00e9e noRmale standaRd<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[315],"tags":[],"class_list":["post-6569","post","type-post","status-publish","format-standard","hentry","category-statistiques"],"acf":[],"yoast_head":"\nFonction GAUSS dans Excel : comment \u00e7a marche, exemples et syntaxe<\/title>\n<meta name=\"description\" content=\"Pr\u00e9sentation de la fonction GAUSS d\u2019Excel et Google Sheets. 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