Question

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?

Answer 1

`x`-sore is `22`

Explanation:

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

`z=(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=(x-7)/10`

i.e. `x-7=1.5xx10=15`

and `x=22`