4
QuizMultiple Choice

Comparing Mean and Median

Question 4 • Concepts in Probability and Statistics A

Mr. Malloy wants to make sure Amo and Javier get the best possible grade after five tests and can either give a grade based on the median or the mean. TestNumberAmo’s ScoresJavier’s Scores1976829297389654559259065What measure of center should Mr. Malloy use for Amo and for Javier for the best possible grade?

Answer
A
The teacher should use the mean for both Amo and Javier.
B
The teacher should use the median for both Amo and Javier.
C
The teacher should use the median for Amo and the mean for Javier.
D
The teacher should use the mean for Amo and the median for Javier.

Explanation

For Amo, the scores are 97, 92, 89, 55, and 90. The median is 90, while the mean is 84.6, so the median gives Amo the higher grade. For Javier, the scores are 68, 73, 65, 92, and 65. The median is 68, while the mean is 72.6, so the mean gives Javier the higher grade. Therefore, the teacher should use the median for Amo and the mean for Javier.

AI-written and checked against the verified answer.

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