Z-Score Calculator — Free Online Calculator with Step-by-Step Guide
Calculate the Z-score from a raw score, population mean, and standard deviation. Visualizes the result on a standard normal distribution curve with shaded.
Z-Score Calculator — Free Online Ca
Results below
Enter Values
Formula Applied
z = (85 − 70) / 10 = 1.5
Cumulative Probability P(Z ≤ z)
0.983053
Percentile Rank
98.305263%
P(Z > z) — Above This Score
1.694737%
Interpretation
Moderately above average
Scenario Comparison
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Z-Score
+1.5
z = (85 − 70) / 10 = 1.5
P(Z ≤ z)
0.983053
Percentile
98.305263%
Above
1.694737%
Empirical Rule (68-95-99.7)
±1σ: ~68% of data falls within 1 standard deviation
±2σ: ~95% of data falls within 2 standard deviations
±3σ: ~99.7% of data falls within 3 standard deviations
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