2016 AMC 8 Problems/Problem 6

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

$\textbf{(A) }3\qquad\textbf{(B) }4\qquad\textbf{(C) }5\qquad\textbf{(D) }6\qquad \textbf{(E) }7$

Solution

We first notice that the median name will be the $10^{\mbox{th}}$ name. We take all the $3$ letter names away from the list to see that the $3^{\mbox{rd}}$ name in the new table is the desired length. Since there are $3$ names that are $4$ letters long, the median name length is $\textbf{(B)} 4$ .

2016 AMC 8 (Problems • Answer Key • Resources)
Preceded by Problem 5	Followed by Problem 7
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2016 AMC 8 Problems/Problem 6

Solution