Question

On a standardized exam, the scores are normally distributed with a mean of 300 and a standard deviation of 50. Find the z-score of a person who scored 150 on the exam.

Answer 1

z = -3

Explanation:

Use the formula for z-score

`z=(x-\mu)/(\sigma)\\\\z=(150-300)/(50)\\ \\z=(-150)/(50)\\ \\z=-3`

This tells us that the person's score of 150 puts him/her 3 standard deviations below the mean of 300.