# 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 (argument: A value that provides information to an action, an event, a method, a property, a function, or a procedure.):

• 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

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

1. Select the example in this article. If you are copying the example in Excel Online, copy and paste one cell at a time.
Important: Do not select the row or column headers.

Selecting an example from Help

1. Press CTRL+C.
2. Create a blank workbook or worksheet.
3. In the worksheet, select cell A1, and press CTRL+V. If you are working in Excel Online, repeat copying and pasting for each cell in the example.
Important: For the example to work properly, you must paste it into cell A1 of the worksheet.
4. 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.

A B
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)

Applies to:
Excel 2010, Excel Web App, SharePoint Online for enterprises, SharePoint Online for professionals and small businesses