# Z-Score Calculator

## Calculate z-scores step by step

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

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