Problem:
The diagram shows the number of students at soccer practice each weekday during last week. After computing the mean and median values, Coach discovers that there were actually participants on Wednesday. Which of the following statements describes the change in the mean and median after the correction is made?
Answer Choices:
A. The mean increases by and the median does not change.
B. The mean increases by and the median increases by .
C. The mean increases by and the median increases by .
D. The mean increases by and the median increases by .
E. The mean increases by and the median increases by .
Solution:
There are more participants, which means the mean is increased by . Right now, we can see that the median is . If gets replaced with , then the median becomes . This shows that the median is also increased by . Thus, the correct answer is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions