How does the Z-Score Calculator work?

z = (x − μ) / σ Then: x is the data point, μ is the mean, σ is the standard deviation Then: z = 0 means at the mean; z = 1 means one std dev above.

Can you give an example of how to use the Z-Score Calculator?

Example: Input x=85, μ=75, σ=10 gives a result of z = 1.0 (85 is 1 std dev above average).

Is the Z-Score Calculator free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Z-Score Calculator?

Our Z-Score Calculator uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

ریاضی

Z-Score Calculator

Value (x)

Mean (μ)

Std Dev (σ)

A z-score (standard score) measures how many standard deviations a data point is from the mean. Z-scores normalise different datasets to the same scale, enabling comparisons.

Z-score	Percentile (approx)	Interpretation
−3	0.1%	Extremely below average
−2	2.3%	Well below average
−1	15.9%	Below average
0	50%	Average
1	84.1%	Above average
2	97.7%	Well above average
3	99.9%	Extremely above average

References

›Standard score — Wikipedia

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Statistics for Beginners: Mean, SD, Hypothesis Tests, and More

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