NORMINV function

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)

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