# NORMINV

 Archived content. No warranty is made as to technical accuracy. Content may contain URLs that were valid when originally published, but now link to sites or pages that no longer exist.

Returns the inverse of the normal cumulative distribution for the specified mean and standard deviation.

Syntax

NORMINV ( probability , mean , standard_dev )

Probability is a probability corresponding to the normal distribution.

Mean is the arithmetic mean of the distribution.

Standard_dev is the standard deviation of the distribution.

Remarks

• If any argument is nonnumeric, NORMINV returns the #VALUE! error value.

• If probability < 0 or if probability > 1, NORMINV returns the #NUM! error value.

• If standard_dev 0, NORMINV returns the #NUM! error value.

• If mean = 0 and standard_dev = 1, NORMINV uses the standard normal distribution (see NORMSINV).

NORMINV uses an iterative technique for calculating the function. Given a probability value, NORMINV iterates until the result is accurate to within 3x10^-7. If NORMINV does not converge after 100 iterations, the function returns the #N/A error value.

Example

Probability

Mean

StdDev

Formula

Description (Result)

0.908789

40

1.5

=NORMINV([Probability],[Mean],[StdDev])

Inverse of the normal cumulative distribution for the specified arguments (42)

Show: