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Returns the standard normal distribution (has a mean of zero and a standard deviation of one).

Use this function in place of a table of standard normal curve areas.

Syntax – Standard Normal Distribution


The NORM.S.DIST function syntax has the following arguments:

  • Z     Required. The value for which you want the distribution.

  • Cumulative     Required. Cumulative is a logical value that determines the form of the function. If cumulative is TRUE, NORMS.DIST returns the cumulative distribution function; if FALSE, it returns the probability mass function.


  • If z is nonnumeric, NORM.S.DIST returns the #VALUE! error value.

  • The equation for the standard normal density function is:



Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. If you need to, you can adjust the column widths to see all the data.





Normal cumulative distribution function at 1.333333



Normal probability distribution function at 1.333333


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