Answer to Question #217722 in Statistics and Probability for lim lee zhuan

Question

Topic: Normal Distribution Distribution & Inverse Normal Distribution

1. If a student scored 82 points on a test where the mean score was 78.2 and the  standard deviation was 3.7. The student's z score is _______.

A. 21.14

B. 22.16

C. 0.28

D. 1.03

Answer 1

$$Z=\dfrac{X-\mu}{\sigma}=\dfrac{82-78.2}{3.7}\approx1.03$$

If a student scored 82 points on a test where the mean score was 78.2 and the standard deviation was 3.7. The student's z score is1.03.

D. 1.03