18
QuizMultiple Choice

Comparing Mean and Median

Question 18 • Concepts in Probability and Statistics A

Alicia received the following seven scores on her math assignments. 80, 90, 10, 75, 90, 95, 99Find the mean and median. Which measure of center best represents the data?

Answer
A
the mean
B
the median
C
both the mean and the median
D
neither the mean nor the median

Explanation

The mean is (80 + 90 + 10 + 75 + 90 + 95 + 99) ÷ 7 = 539 ÷ 7 = 77. In order, the scores are 10, 75, 80, 90, 90, 95, 99, so the median is 90. The score of 10 is much lower than the others and pulls the mean down, so the median best represents the data. The correct choice is B, the median.

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