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

1 Answer
May 29, 2017

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