Z-Score Calculator

Compute the z-score of a value given the mean and standard deviation of the distribution, and see the corresponding percentile — the percentage of values expected to fall at or below it. Useful for comparing observations across different scales.

The observation you want to standardize.

Average of the distribution.

Spread of the distribution. Must be greater than zero.

Result

Enter your values and press Calculate — the result appears here.

Worked examples

Above the mean

  • value = 85
  • mean = 70
  • stddev = 10

Result: z = 1.50 · percentile ≈ 93.32%

Below the mean

  • value = 55
  • mean = 70
  • stddev = 10

Result: z = −1.50 · percentile ≈ 6.68%

Frequently asked questions

What is a z-score?

A z-score tells you how many standard deviations a value is from the mean. A z-score of 1.5 means the value is 1.5 standard deviations above the mean; −0.8 means 0.8 below. This lets you compare values from different distributions.

What does the percentile mean?

The percentile is the probability that a randomly drawn value is at or below yours, assuming a normal distribution. A z-score of 1.50 corresponds to about the 93.3rd percentile.

Can a z-score be negative?

Yes. Negative z-scores mean the value is below the mean. The percentile will be under 50% in that case.

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