A z-score can be defined as how many standard deviations away a value X from the mean. If a value is exactly an average, z-score will be 0. Values above the mean have positive z-scores whereas values below the mean have negative z-scores.

The **Z score** is computed as:

$$ Z = \frac{(X-\mu)}{\sigma} $$

Here*μ*is the Population mean and*σ*is the population standard deviation.*X*is called as raw score.Solution

$$ Z = \frac{(X-\mu)}{\sigma} $$