Statistics & Probability
Z-Score from Percentile
Inverse normal: z-score for a percentile.
Formula
Formula
z = Φ−1(p)
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| p | percentile | 0 < p < 100 (exclusive) | % | input |
| z | standard score | real number (ℝ) | — | result |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givenpercentile p = 97.5
Result1.959963986
Example 2
Givenpercentile p = 50
Result0