Statistics and probability

Z-score

The signed number of standard deviations a value lies from a distribution's mean.

Common notation z=(x−μ)/σ

In one sentence

What does Z-score mean?

The signed number of standard deviations a value lies from a distribution's mean.

How it is written

z=(x−μ)/σ

A compact example

If x=70, μ=50 and σ=10, then z=2.

Other names and search terms

standard score.

Clear answers

Questions about Z-score

What does Z-score mean in mathematics?

The signed number of standard deviations a value lies from a distribution's mean.

How is Z-score written?

A common notation is z=(x−μ)/σ.

What is an example of Z-score?

If x=70, μ=50 and σ=10, then z=2.