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.

Question

asked Jul 6, 2023 154k views

1 Answer

Joninx · Answer 1 · 2023-07-12T23:55:22+0000

Answer:

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.