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#