Darius and Barb are playing a video game in which the higher score wins the game. Their scores are shown below.Darius’s scores: 96, 54, 120, 87, 123Barb’s scores: 92, 98, 96, 94, 110Barb says that she is the winner. Darius says that it is a tie. Who is correct?
Answer
A
Barb is correct if both the mean and median scores are considered.
B
Barb is correct if only the median score is considered.
C
Darius is correct if both the mean and median scores are considered.
D
Darius is correct if only the median score is considered.
Explanation
Darius’s scores have a mean of 480 ÷ 5 = 96, while Barb’s have a mean of 490 ÷ 5 = 98, so Barb has the higher mean. In order, the middle score for each player is 96, so their medians are tied. Therefore, Darius is correct only if the median score is considered.
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