Joaquin and Trisha are playing a game in which the lower median wins the game. Their scores are shown below.Joaquin’s scores: 75, 72, 85, 62, 58, 91Trisha’s scores: 92, 90, 55, 76, 91, 74Which supports the conclusion that Joaquin won the game?
Answer
A
Joaquin won because the median of his scores is 73.5 and the median of Trisha’s scores is 83.
B
Joaquin won because the median of his scores is 83 and the median of Trisha’s scores is 73.5.
C
Trisha won because the median of her scores is 73.5 and the median of Joaquin’s scores is 83.
D
Trisha won because the median of her scores is 83 and the median of Joaquin’s scores is 73.5.
Explanation
With six scores, the median is the average of the two middle scores after sorting. Joaquin’s middle scores are 72 and 75, so his median is (72 + 75) ÷ 2 = 73.5. Trisha’s middle scores are 76 and 90, so her median is (76 + 90) ÷ 2 = 83. Since the lower median wins, Joaquin won; choice A gives these medians and the correct conclusion.
AI-written and checked against the verified answer.