Answer:
The interquartile range of this data is:
8
Step-by-step explanation:
From the box plot given to us we see that:
Minimum value of the set is: 18
The first quartile or the lower quartile of the set i.e. [tex]Q_1=25[/tex]
The middle quartile or the median of the set i.e. [tex]Q_2=28[/tex]
The upper quartile or third quartile i.e. [tex]Q_3=33[/tex]
Maximum value of the set is: 42
Hence, the interquartile range of the data is:
[tex]IQR=Q_3-Q_1\\\\\\IQR=33-25\\\\IQR=8[/tex]
Hence, the interquartile range is: 8
