### Definition

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

NORM.DIST(x,mean,standard_dev,cumulative)

The NORM.DIST function syntax has the following arguments:

• 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.

### Remarks

• 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.