Calculate a z-score
Enter the raw value and the population distribution information.
Raw Value
Enter the observation whose relative position you want to measure.
Population Distribution
Enter the population mean and standard deviation.
Normal distribution graph
The shaded region shows the approximate area to the left of the calculated z-score.
Area to the left
Calculated value
Formula
z = (x − μ) / σ
Common interpretation
A positive z-score is above the mean. A negative z-score is below the mean. A z-score near 0 is close to average.