Answer: 60
Step-by-step explanation:
Given : The quartiles of a data set are [tex]Q_1 =50,\ Q_2 = 72,\ Q_3 = 110,\ and\ Q_4 = 140.[/tex]
The interquartile range gives the range of central 50% of ordered data values . It does not affected by the outliers (extreme values) , therefore it is considered as better measure of spread of data than range.
Formula to find the interquartile range :
[tex]IQR=Q_3-Q_1=110-50=60[/tex]
Hence, the interquartile range = 60
