Statistics & Probability
Standard Score → Percentile
Percentile rank for a z-score (normal).
Formula
Formula
percentile = Φ(z) · 100
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| z | z-score | real number (ℝ) | — | input |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givenz = 1
Result84.13447362
Example 2
Givenz = -2
Result2.275006289