Problem

Two data sets are summarized by quartiles. Data set A has \(Q_{1}~=~3.5\) and \(Q_{3}~=~11\). Data set B has \(Q_{1}~=~4\) and \(Q_{3}~=~9.5\). Find and compare the interquartile ranges.

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The interquartile range of data set A is 3.5 - 11 = -7.5 and the interquartile range of data set B is 4 - 9.5 = -5.5, so data set B has the greater IQR.

The interquartile range of data set A is 11 - 3.5 = 7.5 and the interquartile range of data set B is 9.5 - 4 = 5.5, so data set A has the greater IQR.

The interquartile range of data set A is 9.5 - 3.5 = 6 and the interquartile range of data set B is 11 - 4 = 7, so data set B has the greater IQR.

The interquartile range of data set A is 11 - 3.5 = 7.5 and the interquartile range of data set B is 9.5 - 4 = 5.5, so the two data sets have the same IQR.

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Two data sets are summarized by quartiles. Data set A has \(Q_{1}~=~3.5\) and \(Q_{3}~=~11\). Data set B has \(Q_{1}~=~4\) and \(Q_{3}~=~9.5\). Find and compare the interquartile ranges.

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