Z-Score Calculator
Z-Score Calculator
Determine the standard score based on the raw value, mean, and standard deviation.
X
μ
σ
Standard Score (Z)
0.0000
What is a Z-Score?
In statistics, a Z-Score (or standard score) tells you how many standard deviations a specific raw score is above or below the population mean. It is an extremely useful metric because it allows you to compare results from different normal distributions.
Z-Score Formula
Formula: $$Z = \frac{x – \mu}{\sigma}$$
Where x is the raw score, μ is the population mean, and σ is the standard deviation.
Frequently Asked Questions
What does a negative Z-Score mean?
A negative Z-score simply means that the raw score is below the population average (mean). A positive Z-score indicates the score is above the average. A Z-score of 0 means the score is exactly the same as the mean.