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Standard Score Calculator

Z-score, T-score and percentileRuns locally · nothing uploaded

Given
Z-score
1
T-score (50 + 10Z)
60
Percentile (normal)
84.1%

Higher than about 84.1% of people

Also works as:z score calculatort score calculatorpercentile rank calculatorstandard score

How it works

Formula

Z = (score − mean) ÷ SD
T = 50 + 10Z
Percentile ≈ Φ(Z)

Worked example

Given: Score 85, mean 75, SD 10

  1. Z = 1.0, T = 60.
  2. Φ(1.0) ≈ 0.8413.

Result: Higher than about 84.1% of people.

How to use

  1. 1Choose what you know.
  2. 2Enter the data.
  3. 3Read the z-score, T-score and percentile.

FAQ

What is a z-score?

(score − mean) ÷ SD: how many SDs above or below the mean.

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