Statistics

Z-Score Calculator

Standard score, percentile and tail probabilities.

Enter your values

Results update instantly as you type — no submit needed.

Results
Z-score
2.1333
Percentile
98.36%
Probability above this value
1.645%
Two-tailed p-value
3.2897%

Working

  1. 1z = (132 − 100) ÷ 15 = 2.1333

Quick answer

A z-score is how many standard deviations a value sits from the mean: z = (x − μ) ÷ σ.

z = (x − μ) ÷ σ

How to use the Z-Score Calculator

  1. 1Enter the raw value.
  2. 2Add the population mean and standard deviation.
  3. 3Read the z-score and percentile.

Frequently asked questions

What z-score is significant?

At the conventional 5% two-tailed level, |z| above 1.96 is significant; 2.58 corresponds to the 1% level.

Can a z-score be negative?

Yes — it simply means the value sits below the mean.