Answer to Question #186241 in Statistics and Probability for leonardo

Question

convert the raw score of 50 to a z-score

Answer 1

To calculate a z-score from raw score, subtract the mean from the raw score and divide that answer by the standard deviation.

$$z=\dfrac{X-\mu}{\sigma}$$

where $X$ = Raw score

$\mu =$ mean

$\sigma=$ Standard Deviation

So, Here let $\mu =$ 40

and $\sigma =10$

So, Z- score

$$z=\dfrac{X-\mu}{\sigma}\\z=\dfrac{50-40}{10}\\\Rightarrow z=1$$

Hence, Z- score =1