Z-Score and Percentile Calculator

Find a z-score and the percentile it corresponds to.

From z-score to probability

A z-score says how many standard deviations a value is from the mean, and for normally-distributed data it maps directly to a percentile — the portion of values below it. This calculates the z-score and its corresponding percentile together.

Enter your value, mean and standard deviation to see the z-score and percentile.

Tying the z-score to the bell curve

The reason a z-score is so powerful is its link to the normal distribution, the familiar bell curve that describes so much natural data. For bell-curve data, a given z-score always corresponds to the same percentile, regardless of the original units — a z-score of zero sits at the 50th percentile (the mean), and the well-known rule that most values fall within a couple of standard deviations of the mean is really a statement about z-scores and percentiles. This is what turns a z-score from an abstract distance into a concrete probability: it tells you not just how far a value is from the average, but how it ranks, and how unusual it is. That translation from position to percentile is one of the workhorses of applied statistics.

Z-Score and Percentile Calculator FAQ

How does a z-score relate to a percentile?

For normally-distributed data, a z-score maps directly to the portion of values below it — a z-score of zero is the 50th percentile, at the mean.

What does this add over a plain z-score?

It converts the z-score into a percentile, telling you not just the distance from the mean but the rank and how unusual the value is.

Is anything uploaded?

No. The calculation happens in your browser.

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