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

##### 1 Answer

May 29, 2017

#### 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#