2016 AMC 8 Problem 6

Attempt Problem 6 of the 2016 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 2016 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

6.

The following bar graph represents the length (in letters) of the names of 1919 people. What is the median length of these names?
3 3
4 4
5 5
6 6
7 7
Answer: B
Concepts:median (data)data and graph interpretation
Small hint:
With 1919 names, the median is the 1010th value after sorting.
Big hint:
Count cumulative frequencies from the shortest names upward.
Video solution:
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Written solution:
Since there are 1919 people, each with one corresponding name length, the middle length will be the tenth one. Counting from the left side, the tenth value that we arrive upon is 4.4.
Thus, B is the correct answer.
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