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

Question

Connie and Tom both received 75 percent on the social research methods final exam.The mean for all women who took the test was 80 percent and the median was 75 percent with a standard deviation of 5 percent.The mean and median for the men was 65 percent with a standard deviation of 10 percent.What is the z-score for Connie and Tom relative to those of their own sex?
A)Connie&#8217;s z-score is +1 and Tom&#8217;s is -2,so Connie did better.
B)Connie&#8217;s z-score is -1 and Tom&#8217;s is +1,so Tom did better.
C)Both Connie and Tom have the same z-score,1.
D)Connie&#8217;s z-score is 0 and Tom&#8217;s is +1,so he did worse.
E)Connie&#8217;s z-score is -2 and Tom&#8217;s is -1,so Tom did better.

Quizplus · Accepted Answer

To find the z-score for each person, we need to use the formula:
z = (x - μ) / σ
where x is the person's score, μ is the mean score for their gender, and σ is the standard deviation for their gender.

For Connie:
z = (75 - 80) / 5 = -1

For Tom:
z = (75 - 65) / 10 = 1

Since Tom's z-score is positive and Connie's is negative, we know that Tom did better relative to his gender. Therefore, the correct answer is B.

Connie and Tom Both Received 75 Percent on the Social