Question

On a standardized exam, the scores are normally distributed with a mean of 145 and a standard deviation of 25. Find the z-score of a person who scored 210 on the exam

Answer 1

z = 2.6

Explanation:

Use the formula for z-score

`z=(x-\mu)/(\sigma)\\ \\z=(210-145)/(25)\\ \\z=(65)/(25)\\ \\z=2.6`

This tells us that this person's score of 210 places them 2.6 standard deviations above the mean