NORMINV function

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

Important   This function has been replaced with one or more new functions that may provide improved accuracy and whose names better reflect their usage. This function is still available for compatibility with earlier versions of Excel. However, if backward compatibility is not required, you should consider using the new functions from now on, because they more accurately describe their functionality.

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

The example may be easier to understand if you copy it to a blank worksheet.

How do I copy an example?

  1. Select the example in this article.

    Important   Do not select the row or column headers.

    selecting an example from help

    Selecting an example from Help

  2. Press CTRL+C.

  3. In Excel, create a blank workbook or worksheet.

  4. In the worksheet, select cell A1, and press CTRL+V.

    Important   For the example to work properly, you must paste it into cell A1 of the worksheet.

  5. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Formulas tab, in the Formula Auditing group, click the Show Formulas button.

After you copy the example to a blank worksheet, you can adapt it to suit your needs.

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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)

Applies To: Excel 2010, Excel Starter, Excel Online, SharePoint Online



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