Z-score Calculator

Use this free z-score calculator to standardize a value from its mean and standard deviation, see whether it is above or below average, and estimate percentile.

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Formula steps Examples included Copy results Private history
Z-score1.5
Percentile
93.3192769023%
Distance
Above mean
Mean
70

How to use the z-score calculator

  1. Enter the value, mean, and standard deviation.
  2. Press Calculate z-score to standardize the value.
  3. Review whether the value is above or below the mean and the approximate normal percentile.
  4. Use examples, recent answers, or copy the result while checking statistics work.

Common uses

Standardize a value using mean and standard deviation.

See how many standard deviations a value is above or below average.

Estimate a percentile under the standard normal curve.

Check statistics, normal distribution, and study examples.

Examples

Above average x=85, mean=70, SD=10

z = 1.5

At the mean x=70, mean=70, SD=10

z = 0

Below average x=55, mean=70, SD=10

z = -1.5

Frequently asked questions

Quick answers about formulas, inputs, examples, result copying, and private in-browser history.

What is a z-score?

A z-score tells how many standard deviations a value is above or below the mean.

What formula does the calculator use?

It uses z = (x - mean) / standard deviation.

What does a negative z-score mean?

A negative z-score means the value is below the mean. A positive z-score means it is above the mean.

What does the percentile estimate mean?

The percentile estimates the area to the left of the z-score on a standard normal curve.

Can the standard deviation be zero?

No. A z-score divides by standard deviation, so the standard deviation must be greater than zero.

Is my z-score history private?

Yes. Recent z-score answers stay only in the current browser tab while you use the page. They are not sent to a server.

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