Question

Suppose the mean and standard deviation of the GPAs at Loyola are

Xbar = 1.963; and s = 0.257
Catherine's GPA has a z-score of 2.010. What is Catherine's GPA?
(Leave your answer to 2 decimals: ex: 1.23)

Answer 1

Catherine's GPA is 2.48

Explanation:

A z-score of 2.010 means that Catherine's GPA is 2.01 standard deviations above the mean. Therefore, Catherine's GPA is
`\bar{x}+2.01\sigma=1.963+2.01(0.257)\approx2.48`