# The mean of a set of data is 4.11 and its standard deviation is 3.03. What is the z-score for a value of 10.86?

Sep 8, 2016

$z \approx 2.23$

#### Explanation:

Let $\mu \mathmr{and} \sigma$ be the mean and standard deviation, resp.

Then, $z$ -score of $x$ is, $z = \frac{x - \mu}{\sigma}$

$\text{ Here, } \mu = 4.11 , \sigma = 3.03$

$\therefore z = \frac{10.86 - 4.11}{3.03} = \frac{6.75}{3.03} \approx 2.23$.