Statistics & Algebra

Z-Score Calculator

Standardize a value relative to a distribution’s mean and standard deviation for comparison across scales.

Z-score1.25
Distance from mean1.25 standard deviations

How this tool works

z=(x−μ)/σ. Positive z is above the mean; negative z is below it.

Example

A score of 85 in a distribution with mean 75 and standard deviation 8 has z=1.25.

Common questions

What does z=0 mean?

The value is exactly equal to the mean.

Can standard deviation be zero?

A zero standard deviation means all values are identical, so a conventional z-score is undefined.