Question

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

Answer 1

`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`