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

Answer:

z = -3

Step-by-step explanation:

Use the formula for z-score

$z=\frac{x-\mu}{\sigma}\\\\z=\frac{150-300}{50}\\ \\z=\frac{-150}{50}\\ \\z=-3$

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