4
QuizMultiple Choice

Comparing Mean and Median — Quiz

Question 4 • Concepts in Probability and Statistics

Ari’s teacher says he may have his report grade based on either the mean or the median of his last six test scores. 88 percent , 73 percent , 97 percent , 76 percent , 90 percent , 80 percent Which measure of center would best represent Ari’s grade?

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

Explanation

The mean is (88 + 73 + 97 + 76 + 90 + 80) ÷ 6 = 504 ÷ 6 = 84%. In order, the scores are 73%, 76%, 80%, 88%, 90%, and 97%, so the median is the average of the two middle scores: (80 + 88) ÷ 2 = 84%. Since both measures give the same grade, both the mean and the median represent Ari’s grade equally well.

AI-written and checked against the verified answer.

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