2017 AMC 12B Problems/Problem 5

Problem 5

The data set $[6, 19, 33, 33, 39, 41, 41, 43, 51, 57]$ has median $Q2 = 40$ , first quartile $Q1 = 33$ , and third quartile $Q3 = 43$ . An outlier in a data set is a value that is more than $1.5$ times the interquartile range below the first quartle ( $Q1$ ) or more than $1.5$ times the interquartile range above the third quartile ( $Q3$ ), where the interquartile range is defined as $Q3 - Q1$ . How many outliers does this data set have?

$\textbf{(A)}\ 0\qquad\textbf{(B)}\ 1\qquad\textbf{(C)}\ 2\qquad\textbf{(D)}\ 3\qquad\textbf{(E)}\ 4$

Solution

2017 AMC 12B (Problems • Answer Key • Resources)
Preceded by num-b=4	Followed by Problem 6
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All AMC 12 Problems and Solutions

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2017 AMC 12B Problems/Problem 5

Problem 5

Solution

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