Z-score calculator

Turn a value into a z-score and a percentile, or a percentile back into a value, on the normal curve.

Start from

The normal curve

Questions people ask

What is a z-score?

It is how many standard deviations a value is from the mean: z = (x − μ) ÷ σ. A z-score of 2 means two standard deviations above average.

How do I turn a z-score into a percentile?

Use the standard normal cumulative distribution. z = 1 is about the 84th percentile, z = 1.645 the 95th and z = 1.96 the 97.5th.