2015 AMC 8 Problem 5
Attempt Problem 5 of the 2015 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 2015 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
5.
Billy’s basketball team scored the following points over the course of the first games of the season:
If his team scores in the th game, which of the following statistics will show an increase?
range
median
mean
mode
mid-range
Answer: A
Small hint:
Adding creates a new lowest score.
Big hint:
Check which statistic depends on the difference between the largest and smallest scores.
Video solution:
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Written solution:
When considering all games, from the th game, will be the lowest score. Therefore, compared to the range of just the first games, the range of all games would increase from to
Thus, the correct answer is A .
Problem 5 in other years
- 1985 AMC 8
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