Statistical

NORMSINV Formula

Returns the inverse of the standard normal cumulative distribution function. This is the legacy version of NORM.S.INV. Given a probability p, it returns the z-score such that the area under the standard normal curve to the left of that z-score equals p.

Syntax

NORMSINV(probability)
ParameterDescription
probability Parameter of the NORMSINV function.
Try NORMSINV in Viztab — free, no signup

Examples

Z-score at 97.5th percentile

Formula
=NORMSINV(0.975)
Returns 1.96. This is the commonly used critical value for 95% two-tailed confidence intervals.

Median z-score

Formula
=NORMSINV(0.5)
Returns 0. The median of the standard normal distribution is exactly zero.

5th percentile z-score

Formula
=NORMSINV(0.05)
Returns -1.6449. Values below this z-score represent the lowest 5% of the distribution.

Common Errors

#NUM!

The probability argument must be greater than 0 and less than 1.

#VALUE!

Occurs when the argument is non-numeric text.

Tips

Prefer NORM.S.INV

NORMSINV is the compatibility version kept for older spreadsheets. New formulas should use NORM.S.INV for consistency.

Useful for random normal generation

Combine with RAND() to generate random normal values: =NORMSINV(RAND()) gives a random z-score from the standard normal distribution.

Common critical values

NORMSINV(0.975) returns 1.96 for 95% CI, NORMSINV(0.995) returns 2.576 for 99% CI. Memorize these or use the formula.

Try NORMSINV in Viztab

Import your data and use NORMSINV with 370+ other formulas. No signup required.

Open Viztab

Related Formulas