2011 AMC 8 Problem 4
Attempt Problem 4 of the 2011 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 2011 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
4.
Here is a list of the numbers of fish that Tyler caught in nine outings last summer: Which statement about the mean, mode, and median of these numbers is true?
median mean mode
mean mode median
mean median mode
median mode mean
mode median mean
Answer: C
Small hint:
The mean is the total number of fish divided by .
Big hint:
Order the nine numbers before finding the median and mode.
Solution:
To find these values more easily, we can get the following ordered list:
From this, we see that the mode is the median is and the mean is
Since we get that:
mean median mode.
Thus, C is the correct answer.
Problem 4 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
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