{"id":14111,"date":"2025-07-15T13:34:47","date_gmt":"2025-07-15T13:34:47","guid":{"rendered":"https:\/\/functiontranslator.com\/distr-norm-inv\/"},"modified":"2021-02-26T08:54:42","modified_gmt":"2021-02-26T08:54:42","slug":"norminv","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/es\/norminv\/","title":{"rendered":"DISTR.NORM.INV"},"content":{"rendered":"

Introducci\u00f3n a la funci\u00f3n de distribuci\u00f3n normal inversa<\/h2>\n

La funci\u00f3n DISTR.NORM.INV (conocida en ingl\u00e9s como NORMINV) en Microsoft Excel y Google Sheets es empleada para calcular el valor z correspondiente a una probabilidad espec\u00edfica en la curva de la distribuci\u00f3n normal est\u00e1ndar. Esta funci\u00f3n es de gran utilidad en el campo de la estad\u00edstica y la gesti\u00f3n de operaciones, siendo particularmente valiosa en \u00e1reas como el control de calidad y la administraci\u00f3n de riesgos.<\/p>\n

Sintaxis y ejemplos de uso<\/h2>\n

La sintaxis de la funci\u00f3n es la siguiente:<\/p>\n

  DISTR.NORM.INV(probabilidad, media, desviaci\u00f3n_est\u00e1ndar) <\/code> <\/pre>\n
D\u00f3nde:<\/p>\n
    \n
  • probabilidad<\/strong>: es la probabilidad acumulada correspondiente al valor normal inverso deseado.<\/li>\n
  • media<\/strong>: representa la media de la distribuci\u00f3n normal.<\/li>\n
  • desviaci\u00f3n_est\u00e1ndar<\/strong>: es la desviaci\u00f3n est\u00e1ndar de la distribuci\u00f3n normal.<\/li>\n<\/ul>\n
    Por ejemplo, para hallar el valor z en una distribuci\u00f3n normal est\u00e1ndar (media = 0, desviaci\u00f3n est\u00e1ndar = 1) que corresponde al 95% de la probabilidad acumulada, emplear\u00edamos la f\u00f3rmula:<\/p>\n
      = DISTR.NORM.INV(0.95, 0, 1) <\/code> <\/pre>\n
    Este c\u00e1lculo nos dar\u00eda aproximadamente 1.645, lo que indica que el 95% de los datos en una distribuci\u00f3n normal est\u00e1ndar se sit\u00faan a la izquierda de 1.645.<\/p>\n
    Escenarios de aplicaci\u00f3n pr\u00e1ctica<\/h2>\n
    Ejemplo 1: An\u00e1lisis de criterios de calidad<\/h2>\n
    Imaginemos que una f\u00e1brica tiene un est\u00e1ndar de calidad que exige que los productos pesen dentro del 90% superior de la producci\u00f3n, suponiendo un peso promedio de 50 kg y una desviaci\u00f3n est\u00e1ndar de 8 kg. Para determinar el peso m\u00ednimo aceptable bajo estas premisas, usar\u00edamos:<\/p>\n
      = DISTR.NORM.INV(0.9, 50, 8) <\/code> <\/pre>\n
    Este resultado indica que los productos deben pesar al menos 62.4 kg para cumplir con los est\u00e1ndares de calidad exigidos.<\/p>\n
    Ejemplo 2: Gesti\u00f3n de riesgos financieros<\/h2>\n
    Consideremos una entidad financiera que desee establecer el l\u00edmite de riesgo de inversi\u00f3n que solo se supera en el 5% de los escenarios m\u00e1s desfavorables, asumiendo retornos normales con una media del 5% y una desviaci\u00f3n est\u00e1ndar del 1.5%. La f\u00f3rmula ser\u00eda:<\/p>\n
      = DISTR.NORM.INV(0.05, 5, 1.5) <\/code> <\/pre>\n
    Este c\u00e1lculo muestra que en el peor 5% de los casos, los retornos ser\u00e1n de 2.05% o menos, un umbral cr\u00edtico para la toma de decisiones de inversi\u00f3n.<\/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":[540],"tags":[],"class_list":["post-14111","post","type-post","status-publish","format-standard","hentry","category-estadistica"],"acf":[],"yoast_head":"\nFunci\u00f3n NORMINV (DISTR.NORM.INV) en Excel \u2013 c\u00f3mo funciona, ejemplos y sintaxis<\/title>\n<meta name=\"description\" content=\"Explicaci\u00f3n breve de la funci\u00f3n NORMINV (DISTR.NORM.INV) de Excel. 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