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.
Syntax
NORMDIST(x,mean,standard_dev,cumulative)
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.
Remarks
- 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.
Examples
| X | Mean | StdDev | Formula | Description (Result) |
|---|---|---|---|---|
| 42 | 40 | 1.5 | =NORMDIST([X],[Mean],[StdDev],TRUE) | Cumulative distribution function for the specified arguments (0.908789) |
| 42 | 40 | 1.5 | =NORMDIST([X],[Mean],[StdDev],FALSE) | Probability mass function for the specified arguments (0.10934005) |