MathSolver AI

Z-Score Calculator

The z-score of x is (x minus the mean) divided by the standard deviation.

A z-score says how many standard deviations a value sits from the mean.

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Example problems

How this solver works

  1. Parse x, mean, and sd.
  2. Divide the signed deviation by sd.

Formula

Standard score.

Worked examples

12, 10, 2

  1. (12-10)/2 = 1

Answer: 1

Common mistakes

Swapping x and μ

Subtract the mean from the data value, not the other way around, unless you want the opposite sign.

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Frequently asked questions

What does z = 0 mean?

The value equals the mean.

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