Calculators & Converters

Z-score Calculator

Standardise a value and find its percentile under the normal distribution.

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Formula: z = (x − μ)/σ · P = Φ(z)

About this tool

Standardise a value and find its percentile under the normal distribution.

z = (x − μ) ÷ σ. The percentile is Φ(z), the standard normal cumulative probability, computed from the error function.

Formula: z = (x − μ)/σ · P = Φ(z)

Example: Value (x) = 85, Mean (μ) = 70, Standard deviation (σ) = 10 → Z-score = 1.5, Percentile (below x) = 93.319%.

The percentile is only meaningful if the data are roughly normally distributed.

Quick steps

  1. Enter your values — every field shows its unit.
  2. Press Calculate (or Try an example to see how it works).
  3. Read the results and copy them if you need them elsewhere.

The calculation runs in your browser. Nothing you type is sent to 1CLIK.

FAQ

How does the Z-score Calculator work?

z = (x − μ) ÷ σ. The percentile is Φ(z), the standard normal cumulative probability, computed from the error function.

What should I keep in mind?

The percentile is only meaningful if the data are roughly normally distributed.

Is my data sent anywhere?

No. The numbers stay on your device; the page only shows the result.

A useful next step

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