Z-Score

Convert a value to a z-score showing its distance from a mean in standard deviations.

How this calculator works

Enter the values for first value, second value and review the units before calculating.

Formula / method

z = (x − μ) ÷ σ

Worked example

A value of 75 with mean 60 and standard deviation 10 has z = 1.5.

Assumptions and limitations

The standard deviation is positive and the distribution is suitable for standardized comparison.

A z-score does not prove normality or statistical significance.