{"id":14112,"date":"2025-07-15T13:34:47","date_gmt":"2025-07-15T13:34:47","guid":{"rendered":"https:\/\/functiontranslator.com\/inv-norm\/"},"modified":"2021-02-26T08:54:44","modified_gmt":"2021-02-26T08:54:44","slug":"norm-inv","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/es\/norm-inv\/","title":{"rendered":"INV.NORM"},"content":{"rendered":"

Descripci\u00f3n y Sintaxis de la Funci\u00f3n de Distribuci\u00f3n Normal Inversa<\/h2>\n

En Microsoft Excel y Google Sheets, la funci\u00f3n NORM.INV y INV.NORM respectivamente, se utilizan para calcular el valor inverso de la distribuci\u00f3n acumulativa normal. Es decir, a partir de un percentil espec\u00edfico y los par\u00e1metros est\u00e1ndar de una distribuci\u00f3n normal (media y desviaci\u00f3n est\u00e1ndar), estas funciones devuelven el valor correspondiente de la variable aleatoria que acumula dicho percentil.<\/p>\n

Sintaxis en Excel:<\/p>\n

 NORM.INV(probabilidad, media, desviacion_estandar)<\/code> <\/pre>\n
Sintaxis en Google Sheets:<\/p>\n
 INV.NORM(probabilidad, media, desviacion_estandar)<\/code> <\/pre>\n
Donde:<\/p>\n
    \n
  • probabilidad<\/b> – Corresponde a la probabilidad asociada con la distribuci\u00f3n normal. Este valor debe estar comprendido entre 0 y 1.<\/li>\n
  • media<\/b> – Representa la media de la distribuci\u00f3n normal.<\/li>\n
  • desviacion_estandar<\/b> – Indica la desviaci\u00f3n est\u00e1ndar de la distribuci\u00f3n normal, y debe ser un n\u00famero positivo.<\/li>\n<\/ul>\n
    Ejemplos de Uso Pr\u00e1ctico<\/h2>\n
    Estimaci\u00f3n de umbrales en pruebas estandarizadas<\/h2>\n
    Supongamos que una universidad utiliza una prueba estandarizada para admisi\u00f3n y desea determinar el puntaje m\u00ednimo requerido para posicionarse en el top 10% de todos los resultados, asumiendo que \u00e9stos se distribuyen normalmente con una media de 500 y una desviaci\u00f3n est\u00e1ndar de 100.<\/p>\n
     En Excel: =NORM.INV(0.9, 500, 100) En Google Sheets: =INV.NORM(0.9, 500, 100)<\/code> <\/pre>\n
    Este c\u00e1lculo devolver\u00e1 aproximadamente 621, indicando que los estudiantes requieren un puntaje m\u00ednimo de 621 para estar en el top 10%.<\/p>\n
    C\u00e1lculo de especificaciones de calidad del producto<\/h2>\n
    Consideremos una f\u00e1brica que produce piezas con dimensiones que siguen una distribuci\u00f3n normal. Si la especificaci\u00f3n t\u00e9cnica exige que el 99% de las piezas deben medir m\u00e1s de 15 cm, con una media de 15.5 cm y una desviaci\u00f3n est\u00e1ndar de 0.1 cm, el tama\u00f1o m\u00ednimo aceptable de producci\u00f3n se puede calcular de la siguiente manera:<\/p>\n
     En Excel: =NORM.INV(0.01, 15.5, 0.1) En Google Sheets: =INV.NORM(0.01, 15.5, 0.1)<\/code> <\/pre>\n
    El resultado ser\u00e1 aproximadamente 15.326 cm, lo que significa que la f\u00e1brica debe ajustar sus m\u00e1quinas para que s\u00f3lo el 1% de las piezas tengan una medida menor a 15.326 cm.<\/p>\n
    Resumen y Recomendaciones<\/h2>\n
    La funci\u00f3n de distribuci\u00f3n normal inversa es indispensable en \u00e1reas como estad\u00edstica, ingenier\u00eda, gesti\u00f3n de calidad y educaci\u00f3n para definir est\u00e1ndares o umbrales basados en probabilidades. Es crucial verificar que los par\u00e1metros introducidos (probabilidad, media y desviaci\u00f3n est\u00e1ndar) sean precisos y adecuados para obtener resultados confiables.<\/p>\n
    Es importante considerar que la distribuci\u00f3n normal es una modelaci\u00f3n y puede no ajustarse exactamente a todos los conjuntos de datos, especialmente en situaciones de distribuciones asim\u00e9tricas o con presencia significativa de valores at\u00edpicos.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Devuelve la funci\u00f3n inversa de la distribuci\u00f3n normal acumulativa<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[542],"tags":[],"class_list":["post-14112","post","type-post","status-publish","format-standard","hentry","category-compatibilidad"],"acf":[],"yoast_head":"\nFunci\u00f3n NORM.INV (INV.NORM) en Excel \u2013 c\u00f3mo funciona, ejemplos y sintaxis<\/title>\n<meta name=\"description\" content=\"Explicaci\u00f3n breve de la funci\u00f3n NORM.INV (INV.NORM) de Excel. 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