5
QuizMultiple Select

Comparing Mean and Median

Question 5 • Concepts in Probability and Statistics A

Eva earned the following test scores in science:82, 100, 96, 90, 91Ms. Wade entered the next score as 0 because Eva was absent on test day and hadn’t had a chance to make up the test. Which statements are true based on the data? Check all that apply.

Answer
A
After adding the 0 test score, the mean would be the most appropriate measure of center to describe the data.
B
After adding the 0 test score, the mean would be affected.
C
After adding the 0 test score, the median would be the most appropriate measure of center to describe the data.
D
Before the missed test, Eva’s median score was 96.
E
Before the missed test, Eva’s median score was 91.
F
Before the missed test, Eva’s mean score was 91.8.

Explanation

Before the missed test, the scores in order are 82, 90, 91, 96, and 100, so the middle score—and median—is 91. Their sum is 459, and 459 ÷ 5 = 91.8, so the mean is 91.8. Adding a zero lowers the mean, so the mean is affected. Because zero is far below the other scores, the median is the more appropriate measure of center after it is added.

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