Z-score Calculator

Standard score Z from value, mean and standard deviation.

Result —

How it works

Z = (x − μ) ÷ σ

Z is how many standard deviations a value is from the mean. Z = 1.5 means 1.5 SD above the mean.

Worked example

Score 85, mean 70, SD 10: z = (85−70) ÷ 10 = 1.5.

Under normality, z = 1.5 is about the 93.3rd percentile — above roughly 93% of people.

Notes and limitations

A z-score counts standard deviations from the mean, assuming approximate normality. With strong skew the percentile conversion misleads — read the empirical distribution instead.

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