The mathematics SAT scores of the seven students in a mathem

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 of 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? Explain.

Solution

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 of 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? Explain.

Mean =4128/7=589.71

Median = middle value =586

When we change 533 to 765

Mean =4360/7=622.86

Median = middle value =619

By changing Smallest value to largest value, both mean and median are changed.

Mean is changed from 589.71 to 622.86

Median is changed from 586 to 619