NORM.INV function

Returns the inverse of the normal cumulative distribution for the specified mean and standard deviation.

Syntax

NORM.INV(probability,mean,standard_dev)

The NORM.INV function syntax has the following arguments:

  • Probability     Required. A probability corresponding to the normal distribution.

  • Mean     Required. The arithmetic mean of the distribution.

  • Standard_dev     Required. The standard deviation of the distribution.

Remarks

  • If any argument is nonnumeric, NORM.INV returns the #VALUE! error value.

  • If probability <= 0 or if probability >= 1, NORM.INV returns the #NUM! error value.

  • If standard_dev ≤ 0, NORM.INV returns the #NUM! error value.

  • If mean = 0 and standard_dev = 1, NORM.INV uses the standard normal distribution (see NORMS.INV).

Given a value for probability, NORM.INV seeks that value x such that NORM.DIST(x, mean, standard_dev, TRUE) = probability. Thus, precision of NORM.INV depends on precision of NORM.DIST.

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.

Data

Description

0.908789

Probability corresponding to the normal distribution

40

Arithmetic mean of the distribution

1.5

Standard deviation of the distribution

Formula

Description

Result

=NORM.INV(A2,A3,A4)

Inverse of the normal cumulative distribution for the terms above (42)

42.000002

Applies To: Excel 2016 for Mac, Excel 2016 Preview, Excel Starter, Excel 2010, Excel Online, Excel 2013, Excel for Mac 2011



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