# 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.

Population mean: $\mu=$

Population standard deviation: $\sigma=$

Value: $x=$

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

## 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 $z=\frac{5}{4}$.