{"id":6689,"date":"2025-07-15T13:34:48","date_gmt":"2025-07-15T13:34:48","guid":{"rendered":"https:\/\/functiontranslator.com\/loi-normale-standard\/"},"modified":"2021-02-26T08:11:03","modified_gmt":"2021-02-26T08:11:03","slug":"normsdist","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/fr\/normsdist\/","title":{"rendered":"LOI.NORMALE.STANDARD"},"content":{"rendered":"

Description de la fonction<\/h2>\n

La fonction NORMSDIST<\/strong> dans Microsoft Excel et LOI.NORMALE.STANDARD<\/strong> dans Google Sheets permet de calculer la valeur de la fonction de distribution cumul\u00e9e (FDC) pour une distribution normale standard, qui est centr\u00e9e en 0 avec un \u00e9cart type de 1. Cette fonction est cruciale dans les domaines des statistiques appliqu\u00e9es, particuli\u00e8rement pour les tests d’hypoth\u00e8ses et la cr\u00e9ation d’intervalles de confiance.<\/p>\n

Syntaxe<\/h2>\n

Dans Microsoft Excel :<\/p>\n

=NORMSDIST(z)<\/code><\/pre>\n
Dans Google Sheets :<\/p>\n
=LOI.NORMALE.STANDARD(z, cumulatif)<\/code><\/pre>\n
z<\/code> est la valeur pour laquelle vous souhaitez calculer la distribution. cumulatif<\/em> est un param\u00e8tre sp\u00e9cifique \u00e0 Google Sheets et doit \u00eatre d\u00e9fini sur VRAI<\/code> pour reproduire la fonctionnalit\u00e9 de NORMSDIST d’Excel.<\/p>\n
Exemples d’utilisation<\/h2>\n
    \n
  • \n
    Calcul de la probabilit\u00e9 que la variable Z soit inf\u00e9rieure ou \u00e9gale \u00e0 1.65 :<\/p>\n
    =NORMSDIST(1.65) # R\u00e9sultat attendu : 0.9505<\/code><\/pre>\n<\/li>\n
  • \n
    Dans Google Sheets :<\/p>\n
    =LOI.NORMALE.STANDARD(1.65, VRAI) # R\u00e9sultat attendu : 0.9505<\/code><\/pre>\n<\/li>\n<\/ul>\n
    Cas pratiques<\/h2>\n
    Sc\u00e9nario 1 : Calcul des probabilit\u00e9s pour un test de QI<\/h3>\n
    Si le QI moyen est de 100 avec un \u00e9cart type de 15, calculons la probabilit\u00e9 qu’une personne al\u00e9atoire ait un QI inf\u00e9rieur \u00e0 120 :<\/p>\n
    Pour d\u00e9terminer Z :<\/p>\n
    Z = (Score du QI - Moyenne) \/ \u00c9cart type Z = (120 - 100) \/ 15 Z \u2248 1.33<\/code><\/pre>\n
    Utilisation de NORMSDIST pour estimer cette probabilit\u00e9 :<\/p>\n
    =NORMSDIST(1.33) # R\u00e9sultat attendu : 0.9082<\/code><\/pre>\n
    Cela indique qu’environ 90.82% des individus ont un QI inf\u00e9rieur \u00e0 120.<\/p>\n
    Sc\u00e9nario 2 : \u00c9tablissement d’un intervalle de confiance \u00e0 95%<\/h3>\n
    Pour d\u00e9terminer un intervalle de confiance de 95% pour la moyenne par \u00e9chantillonnage, il est utile de conna\u00eetre les valeurs critiques de Z :<\/p>\n\n\n\n\n
    Valeur de Z<\/th>\nFonction de distribution cumul\u00e9e<\/th>\n<\/tr>\n
    -1.96<\/td>\n\n
    =NORMSDIST(-1.96) # R\u00e9sultat attendu : 0.025<\/code><\/pre>\n<\/td>\n<\/tr>\n
    1.96<\/td>\n\n
    =NORMSDIST(1.96) # R\u00e9sultat attendu : 0.975<\/code><\/pre>\n<\/td>\n<\/tr>\n<\/table>\n
    Cela montre que l’intervalle entre les scores Z de -1.96 et 1.96 comprend 95% de l’\u00e9chantillon.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Renvoie la pRobabilit\u00e9 d\u2019une vaRiable al\u00e9atoiRe continue suivant une loi 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":[317],"tags":[],"class_list":["post-6689","post","type-post","status-publish","format-standard","hentry","category-compatibilite"],"acf":[],"yoast_head":"\nFonction NORMSDIST (LOI.NORMALE.STANDARD) dans Excel : comment \u00e7a marche, exemples et syntaxe<\/title>\n<meta name=\"description\" content=\"Pr\u00e9sentation de la fonction NORMSDIST (LOI.NORMALE.STANDARD) d\u2019Excel et Google Sheets. 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