This function 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
- 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
- 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.
||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)
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