Z-score Calculator

Z-score and percentile from value, mean and deviation.

Input Parameters

Value (X)

Mean (μ)

Std. deviation (σ)

Calculation Summary

Z-score0.5

Percentile69.14625435%

|X − μ|5

175 available

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About this calculator

Z-score and percentile from a value, mean and standard deviation using the standard normal distribution.

Z-score formula?

z = (X − μ) / σ: how many deviations the value sits from the mean.

What is the percentile?

The normal CDF at z times 100 — share of the population below X.

Negative z?

Simply means below average; percentile drops under 50 accordingly.