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Calculate z-score

Standardize a value: z = (x − μ) / σ.

Also known as: calculate z score calculator, z score calculator, calculate z-score, statistics math, statistics calculate z-score

Inputs

Results update when you click Calculate.

Z-score

1.5000

z = (85.0000 − 70.0000) / 10.0000

Approx. percentile

93.32%

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What this result means

Standardize a value: z = (x − μ) / σ. z = (x − μ) / σ measures distance from the mean in standard-deviation units.

Assumptions

  • Rule dependency: Universal formula.

How is it calculated?

z = (x − μ) / σ measures distance from the mean in standard-deviation units.

Example

85 with μ=70, σ=10 → z = 1.5.

Frequently asked questions

Normal required?+

Percentile hint assumes an approximate normal distribution.