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.
The NORM.DIST 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.):
- X Required. The value for which you want the distribution.
- Mean Required. The arithmetic mean of the distribution.
- Standard_dev Required. The standard deviation of the distribution.
- Cumulative Required. A logical value that determines the form of the function. If cumulative is TRUE, NORM.DIST returns the cumulative distribution function; if FALSE, it returns the probability mass function.
- If mean or standard_dev is nonnumeric, NORM.DIST returns the #VALUE! error value.
- If standard_dev ≤ 0, NORM.DIST returns the #NUM! error value.
- If mean = 0, standard_dev = 1, and cumulative = TRUE, NORM.DIST returns the standard normal distribution, NORM.S.DIST.
- 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 do I copy an example?
- 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
- Press CTRL+C.
- Create a blank workbook or worksheet.
- 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.
- 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.
||Value for which you want the distribution
||Arithmetic mean of the distribution
||Standard deviation of the distribution
||Cumulative distribution function for the terms above (0.908789)
||Probability mass function for the terms above (0.10934005)