basic

Z-Score from Raw Score, Mean, and SD Calculator

Convert a raw data value to a standard score.

Calculates the z-score: z = (X − μ) / σ, indicating how many standard deviations X is from the mean μ. Also computes the corresponding percentile approximation.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
Was this helpful?

How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

z = (X − μ) / σ

In depth

Calculates the z-score: z = (X − μ) / σ, indicating how many standard deviations X is from the mean μ. Also computes the corresponding percentile approximation.