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Z-score Calculator
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Find how many standard deviations a value is from the mean, and its percentile.
| Z-score | 1.5 |
| Percentile | 93.32% |
What Is a Z-score?
A z-score tells you how many standard deviations a value is above or below the mean of its distribution. A z-score of 0 means the value equals the mean; positive scores are above the mean, negative scores are below it. Z-scores make it possible to compare values from different scales or distributions on the same footing.
z = x − μσ
Percentile
Assuming the data follows a roughly normal (bell-curve) distribution, the z-score can be converted into a percentile - the percentage of values that fall below your value. This calculator uses a standard normal approximation to estimate that percentile.