Question

On a standardized exam, the scores are normally distributed with a mean of57 and a standard deviation of 10. Find the z-score of a person who scored 75on the exam.

Answer 1

`z\text{ score =}\frac{data\text{ point -}mean}{\text{standard deviation}}`

data point = 75

mean = 57

standard deviation = 10

Replacing:

z = (75-57) /10 = 18/10 = 1.8

z score = 1.8