Connie and Tom both got 75% correct on the research methods final exam. The mean for all women who took the test was 80% and the median was 75% with a standard deviation of 5%. The mean for the men was 65% correct and the median was 65% with a standard deviation of 10%. What is the z-score for Connie and Tom relative to those of their own sex?
A) Connie's z-score is +1, Tom's is -2, so Connie really did better.
B) Both Connie and Tom have the same z-score, 1, so they are the same.
C) Connie's z-score is -1, Tom's is +1, so Tom really did better.
D) Connie's z-score is 0 and Tom's is +1, so he did worse.

Question

Quizplus · Accepted Answer

To calculate the z-score, use the formula: z = (X - μ) / σ, where X is the score, μ is the mean, and σ is the standard deviation. For Connie: z = (75 - 80) / 5 = -1. For Tom: z = (75 - 65) / 10 = +1.

Connie and Tom Both Got 75% Correct on the Research