2019 AMC 8 Problem 10
Attempt Problem 10 of the 2019 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2019 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
10.
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?
The mean increases by and the median does not
change.
The mean increases by and the median
increases by
The mean increases by and the median increases by
The mean increases by and the median increases by
The mean increases by and the median increases by
Answer: B
Small hint:
The correction adds students total
Big hint:
Compare the ordered lists before and after replacing Wednesday’s value
Video solution:
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Written 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 B.
Problem 10 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
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