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



Probability     is a probability corresponding to the normal distribution.

Mean     is the arithmetic mean of the distribution.

Standard_dev     is the standard deviation of the distribution.


  • 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.


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

ShowHow to copy an example

  • Create a blank workbook or worksheet.
  • Select the example in the Help topic.

 Note   Do not select the row or column headers.

Selecting an example from Help

Selecting an example from Help
  • Press CTRL+C.
  • In the worksheet, select cell A1, and press CTRL+V.
  • 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.
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 2003