Question 8 • Concepts in Probability and Statistics
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 percent , 84 percent , 100 percent , 68 percent Which measure of center should Sydney choose so she can have the highest percentage possible?
Answer
A
Sydney should choose the median after dropping one test score.
B
Sydney should choose the mean without dropping one test score.
C
Sydney should choose the mean after dropping one test score.
D
Sydney should choose the median without dropping one test score.
Explanation
Sort the scores: 68, 84, 94, 100. If Sydney drops 68, the remaining scores have a median of 94 (the middle of 84, 94, and 100). The best mean after dropping one score is (94 + 84 + 100) ÷ 3, or about 92.7%, so choosing the median after dropping a score gives the higher percentage: choice A.
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