1992 AMC 8 Problem 13
Attempt Problem 13 of the 1992 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1992 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
13.
Five test scores have a mean (average score) of a median (middle score) of and a mode (most frequent score) of The sum of the two lowest test scores is
not determined by the information given
Answer: B
Small hint:
The five scores add up to and the middle score is
Big hint:
The mode must appear at least twice, and both copies must be at or above the median, so the three highest scores are and
Solution:
The five scores sum to The median is the third score, Since is the mode, it must appear at least twice, and both copies lie above the median, so the two highest scores are and
The three highest scores are and summing to So the two lowest sum to
Thus, the correct answer is B .
Problem 13 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1993 AMC 8
- 1994 AMC 8
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