Z-score Calculator

Convert a raw value to a z-score and see its position under the normal curve with one- and two-tailed probabilities.

Runs 100% in your browser — nothing is uploaded.

Runs 100% in your browser — nothing is uploaded.

Result

Z-score
2
Value relative to mean
2 σ above mean
P(X ≤ x)
97.725%
P(X > x)
2.275%

Formula

z = (x − μ) ÷ σ

About this calculator

The z-score counts how many standard deviations a value sits from the mean. Probabilities come from the standard normal distribution.

How to use

  1. 1

    Enter the raw value, mean and standard deviation.

  2. 2

    The z-score and tail probabilities update instantly.

Frequently asked questions

What does a z-score of 2 mean?

The value is 2 standard deviations above the mean. About 97.7% of a normal population lies below it.

Please note: Results are estimates for general information only and are not professional or medical/financial advice.