Statistics Calculator
Z-Score Calculator
Compute a z-score from a raw value, population mean, and standard deviation. The calculator also shows the formula and the steps used.
Formula
z = (x − μ) / σ
x = raw value
μ = mean
σ = standard deviation
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Enter Values
Use a population mean and population standard deviation for the standard z-score formula.
Result
Enter values and click Calculate.
What does a z-score mean?
A z-score tells you how many standard deviations a value is above or below the mean.
A positive z-score means the value is above the mean. A negative z-score means the value is below the mean. A z-score of 0 means the value equals the mean.
z = 1 means 1 standard deviation above the mean.
z = -2 means 2 standard deviations below the mean.
z = 0 means exactly equal to the mean.
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