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AMC 12 2017b Problem 5

  • Paper

The data set [6,19,33,33,39,41,41,43,51,57][6,19,33,33,39,41,41,43,51,57] has median Q2=40Q_2 = 40, first quartile Q1=33Q_1 = 33, and third quartile Q3=43Q_3=43. An outlier in a data set is a value that is more than 1.51.5 times the interquartile range below the first quartile (Q1)(Q_1) or more than 1.51.5 times the interquartile range above the third quartile (Q3)(Q_3), where the interquartile range is defined as Q3−Q1Q_3 - Q_1. How many outliers does this data set have?

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

Dataset text AMC 12 2000 to 2025. Quoted with source.

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B

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