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# NORMDIST

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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.

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.

Example

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)