Calculate Z-Score
Z = (X - μ) / σ
Z-Score
1.00
84.13%
Percentile
0.8413
P(X ≤ x)
0.1587
P(X > x)
Reverse: Z-Score to Raw Score
129.40
Raw Score (X = μ + Z × σ)
Common Z-Score Reference
| Z-Score | Percentile | P(below) | Common Use |
|---|---|---|---|
| -3.00 | 0.13% | 0.0013 | Extreme low |
| -2.00 | 2.28% | 0.0228 | Very low |
| -1.00 | 15.87% | 0.1587 | Below average |
| 0.00 | 50.00% | 0.5000 | Average (mean) |
| 1.00 | 84.13% | 0.8413 | Above average |
| 1.645 | 95.00% | 0.9500 | 90% CI (one-tail) |
| 1.96 | 97.50% | 0.9750 | 95% CI (two-tail) |
| 2.00 | 97.72% | 0.9772 | Very high |
| 2.576 | 99.50% | 0.9950 | 99% CI (two-tail) |
| 3.00 | 99.87% | 0.9987 | Extreme high |