Question 8 • Concepts in Probability and Statistics A
Sydney’s teacher says she may have her report card percentage based on either the mean or the median and she can drop one test score if she chooses. 94%, 84%, 100%, 68%Which measure of center should Sydney choose so she can have the highest percentage possible?
Answer
A
Sydney should choose the mean after dropping one test score.
B
Sydney should choose the mean without dropping one test score.
C
Sydney should choose the median after dropping one test score.
D
Sydney should choose the median without dropping one test score.
Explanation
With all four scores, the median is (84 + 94) ÷ 2 = 89. If Sydney drops the 68%, the remaining scores are 84%, 94%, and 100%; their median is 94%. The mean after dropping 68% is (84 + 94 + 100) ÷ 3 ≈ 92.7%, so choosing the median after dropping one test gives the highest percentage.
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