NORMDIST function

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Returns the normal distribution for the specified mean and standard deviation. This function has a very wide range of applications in statistics, including hypothesis testing.



X     is the value for which you want the distribution.

Mean     is the arithmetic mean of the distribution.

Standard_dev     is the standard deviation of the distribution.

Cumulative     is a logical value that determines the form of the function. If cumulative is TRUE, NORMDIST returns the cumulative distribution function; if FALSE, it returns the probability mass function.


  • If mean or standard_dev is nonnumeric, NORMDIST returns the #VALUE! error value.
  • If standard_dev ≤ 0, NORMDIST returns the #NUM! error value.
  • If mean = 0, standard_dev = 1, and cumulative = TRUE, NORMDIST returns the standard normal distribution, NORMSDIST.
  • The equation for the normal density function (cumulative = FALSE) is:


  • When cumulative = TRUE, the formula is the integral from negative infinity to x of the given formula.


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

How to copy an example

  1. Create a blank workbook or worksheet.
  2. 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
  1. Press CTRL+C.
  2. In the worksheet, select cell A1, and press CTRL+V.
  3. 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
42 Value for which you want the distribution
40 Arithmetic mean of the distribution
1.5 Standard deviation of the distribution
Formula Description (Result)
=NORMDIST(A2,A3,A4,TRUE) Cumulative distribution function for the terms above (0.908789)
=NORMDIST(A2,A3,A4,FALSE) Probability mass function for the terms above (0.10934005)

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Applies to:
Excel 2007