Free Z-Score Calculator
How many standard deviations a value is from the mean.
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Z-score
1.5000
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Short answer
How many standard deviations a value is from the mean.
What is the Z-Score Calculator?
How many standard deviations a value is from the mean.
How does the Z-Score Calculator work?
Enter the inputs above and read the result.
Formula
Variables
xRaw valueμMeanσStandard deviation
Explanation
A z-score expresses distance from the mean in standard-deviation units, letting you compare across different scales.
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Advantages
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Tips
Related concepts
The Z-Score Calculator sits inside the Math Calculators hub, in the statistics & probability cluster. Describing data and quantifying uncertainty. Understanding the terms below makes the output easier to interpret and easier to compare against neighbouring measures.
Practical use cases and industry applications
Understanding Z-Score
How many standard deviations a value is from the mean. Within math calculators, z-score belongs to the statistics & probability cluster, where it shares terminology and assumptions with closely related tools.
Learning how z-score is calculated
A z-score expresses distance from the mean in standard-deviation units, letting you compare across different scales. Working through the variables one at a time — x, μ, σ — makes the result reproducible by hand and easier to sanity-check.
Using z-score to make a decision
Because outputs depend on the assumptions you enter, run more than one scenario before committing to a figure.
How z-score compares with related measures
distribution, dispersion, significance, sample all describe adjacent aspects of statistics & probability. Comparing this calculator's output against those measures — using the related tools listed on this page — prevents a single metric from being read in isolation.
Frequently asked questions
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