2016 AMC 8

Complete problem set with solutions and individual problem pages

Problem 6 Easy

The following bar graph represents the length (in letters) of the names of 19 people. What is the median length of these names?

  • A.

    3

  • B.

    4

  • C.

    5

  • D.

    6

  • E.

    7

Answer:B

Solution 1

We first notice that the median name will be the (19+1)/2=10^{\mbox{th}} name. The 10^{\mbox{th}} name is \boxed{\textbf{(B)}\ 4}.

 

Solution 2

To find the median length of a name from a bar graph, we must add up the number of names. Doing so gives us 7 + 3 + 1 + 4 + 4 = 19. Thus the index of the median length would be the 10th name. Since there are 7 names with length 3, and 3 names with length 4, the 10th name would have 4 letters. Thus our answer is \boxed{\textbf{(B)}\ 4}.

Related Problems
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