Statistical

NORMINV Formula

Returns the value at a given probability for a normal distribution with a specified mean and standard deviation. Use it when you need to find a threshold or cutoff, such as determining what score falls at the 95th percentile in a normally distributed dataset of exam results or manufacturing tolerances.

Syntax

NORMINV(probability, mean, standard_dev)
ParameterDescription
probability Parameter of the NORMINV function.
mean Parameter of the NORMINV function.
standard_dev Parameter of the NORMINV function.
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Examples

95th percentile exam score

Formula
=NORMINV(0.95, 75, 10)
Returns 91.45. In a class where scores average 75 with std dev 10, 95% of students scored below about 91.5.

Lower 10% cutoff for quality control

Formula
=NORMINV(0.10, 500, 25)
Returns 467.96. Parts weighing below ~468g fall in the bottom 10% and may be rejected.

Median of a normal distribution

Formula
=NORMINV(0.5, 100, 15)
Returns 100. The median of a normal distribution equals the mean.

Common Errors

#NUM!

Probability must be between 0 and 1 (exclusive). A value like 1.5 or -0.1 triggers this error.

#VALUE!

Occurs if any argument is non-numeric, such as passing text where a number is expected.

Tips

Use for confidence intervals

Pair NORMINV with your data's mean and standard deviation to calculate confidence interval bounds, e.g., NORMINV(0.025, mean, std) for the lower 2.5% bound.

Upgrade to NORM.INV

NORMINV is the legacy version. NORM.INV is the modern replacement with identical behavior but better consistency with other .DIST/.INV functions.

Standard normal shortcut

For a standard normal (mean=0, std=1), use NORM.S.INV instead to save typing two arguments.

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