Problem

2017 AMC 12B Problem 5

The data set [6,19,33,33,39,41,41,43,51,57] has median Q_2 = 40, first quartile Q_1 = 33, and third quartile Q_3=43. An outlier in a data set is a value that is more than 1.5 times the interquartile range below the first quartile (Q_1) or more than 1.5 times the interquartile range above the third quartile (Q_3), where the interquartile range is defined as Q_3 - Q_1. 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


Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.


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Problem Tags: Counting and probability

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