pozicijombx

2022-01-29

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?

Damian Roberts

Expert

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. $x-7=1.5×10=15$
and x=22

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