The mathematics SAT scores of the seven students in a mathematics seminar are 533, 553, 578, 586, 619, 626, and 633. Suppose that the student with the score 533 drops the seminar and is replaced by a student with a score of 765. What will happen to the mean and the median scores of the class?
A) The mean will increase; the median will be unchanged.
B) The median will increase; the mean will be unchanged.
C) Neither the mean nor the median will change.
D) Both the median and the mean will increase.

Question

Quizplus · Accepted Answer

The mean will increase because the sum of the scores increases with the higher score of 765 replacing 533. The median will increase because the new set of scores will have 586 as the middle value, which is higher than the previous median of 586.

The Mathematics SAT Scores of the Seven Students in a Mathematics