What is the interquartile range of 86, 72, 85, 89, 86, 92, 73, 71, 91, 82?

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What is the interquartile range of 86, 72, 85, 89, 86, 92, 73, 71, 91, 82?

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Answer 1 · 2017-05-29T18:25:03

$IQR=16$

Explanation:

$"arrange the data set in ascending order"$

$71color(white)(x)72color(white)(x)color(magenta)(73)color(white)(x)82color(white)(x)85color(red)(uarr)color(white)(x)86color(white)(x)86color(white)(x)color(magenta)(89)color(white)(x)91color(white)(x)92$

$"the quartiles split the data into 4 groups"$

$"the median "color(red)(Q_2)=(85+86)/2=85.5$

$"the lower quartile "color(magenta)(Q_1)=color(magenta)(73)$

$"the upper quartile "color(magenta)(Q_3)=color(magenta)(89)$

$"the interquartile range " (IQR)=Q_3-Q_1$

$color(white)(the interquartile rangexxxxx)=89-73$
$color(white)(the interquartile rangexxxxx)=16$

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What is the interquartile range of 86, 72, 85, 89, 86, 92, 73, 71, 91, 82?

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