Applies ToExcel for Microsoft 365 Excel for Microsoft 365 for Mac Excel for the web Excel 2024 Excel 2024 for Mac Excel 2021 Excel 2021 for Mac Excel 2019 Excel 2016

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

NORM.S.DIST(z,cumulative)

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.

Remarks

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

  • The equation for the standard normal density function is:

    Equation

Example

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.

Formula

Description

Result

=NORM.S.DIST(1.333333,TRUE)

Normal cumulative distribution function at 1.333333

0.908788726

=NORM.S.DIST(1.333333,FALSE)

Normal probability distribution function at 1.333333

0.164010148

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