# How do I find the corresponding x-scores for a z-score of 1.50, if it has a mean of 7 and a standard deviation of 10?

Jan 22, 2017

$x$-sore is $22$

#### Explanation:

Relation between $z$-scores and $x$-scores is given by

$z = \frac{x - \mu}{\sigma}$, where $\mu$ is the mean and $\sigma$ is standard deviation.

As $z = 1.50$, $\mu = 7$ and $\sigma = 10$, we have

$1.5 = \frac{x - 7}{10}$

i.e. $x - 7 = 1.5 \times 10 = 15$

and $x = 22$