2019 AMC 8
Complete problem set with solutions and individual problem pages
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?
- 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 .
On Monday, people come. On Tuesday, people come. On Wednesday, people come. On Thursday, people come. Finally, on Friday, people come. , so the mean is . The median is . The coach figures out that actually people come on Wednesday. The new mean is , while the new median is . Also, the median increases by because now the median is instead of . The median and mean both change, so the answer is .
