Z-Score Calculator

The calculator will find the Z-Score (standardized score), given the unstandardized value, mean and standard deviation of the population, with steps shown.

Enter your data or

Population mean: $$$\mu=$$$

Population standard deviation: $$$\sigma=$$$

Value: $$$x=$$$

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Solution

Your input: find the z-score of $$$x=2$$$ with $$$\mu = \frac{3}{2}$$$ and $$$\sigma = \frac{2}{5}$$$.

Z-score is calculated according to the following formula:

$$$z=\frac{x-\mu}{\sigma}=\frac{2-\frac{3}{2}}{\frac{2}{5}}=\frac{5}{4}$$$.

Answer: the z-score is $$$z=\frac{5}{4}$$$.