Comparing Measures of Center and Variability — Quiz
Question 10 • Grade 7 Mathematics
Darius and Barb are playing a video game in which the higher score wins the game. Their scores are shown. Darius’s scores: 96, 54, 120, 87, 123 Barb’s scores: 92, 98, 96, 94, 110 Barb 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 sum of 480, so his mean is 480 ÷ 5 = 96; when ordered, the middle score is also 96. Barb’s scores sum to 490, giving a mean of 98, and her middle score is 96. Barb has the higher mean, but the medians are tied, so Darius is correct only when the median is considered.
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