Z-Score Calculator

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-ScorePercentileP(below)Common Use
-3.000.13%0.0013Extreme low
-2.002.28%0.0228Very low
-1.0015.87%0.1587Below average
0.0050.00%0.5000Average (mean)
1.0084.13%0.8413Above average
1.64595.00%0.950090% CI (one-tail)
1.9697.50%0.975095% CI (two-tail)
2.0097.72%0.9772Very high
2.57699.50%0.995099% CI (two-tail)
3.0099.87%0.9987Extreme high