NORMINV function

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

Note    This function has been replaced with one or more new functions that may provide improved accuracy and whose names better reflect their usage. Although this function is still available for backward compatibility, you should consider using the new functions from now on, because this function may not be available in future versions of Excel.

For more information about the new function, see NORM.INV function.

Syntax

NORMINV(probability,mean,standard_dev)

The NORMINV 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, NORMINV returns the #VALUE! error value.

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

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

  • If mean = 0 and standard_dev = 1, NORMINV uses the standard normal distribution (see NORMSINV).

Given a value for probability, NORMINV seeks that value x such that NORMDIST(x, mean, standard_dev, TRUE) = probability. Thus, precision of NORMINV depends on precision of NORMDIST. NORMINV uses an iterative search technique. If the search has not converged after 100 iterations, the function returns the #N/A error value.

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

=NORMINV(A2,A3,A4)

Inverse of the normal cumulative distribution for the terms above

42.000002

Applies To: Excel 2016 for Mac, Excel 2007, Excel 2016 Preview, Excel Starter, Excel 2010, Excel Online, Excel 2013, Excel for Mac 2011



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