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

Answer:

z = 2.6

Step-by-step explanation:

Use the formula for z-score

$z=\frac{x-\mu}{\sigma}\\ \\z=\frac{210-145}{25}\\ \\z=\frac{65}{25}\\ \\z=2.6$

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