Step-by-step explanation:
Given data is 32,47,49,53,54,66,67,71,72
Median = [tex](\frac{n+1}{2}) ^{th}[/tex] term
=[tex](\frac{9+1}{2} )^{th}[/tex] term
=[tex]5^{th}[/tex] term
=54
First quartile = [tex]\frac{1}{4} (n+1)^{th} term[/tex]
= [tex]\frac{47+49}{2}[/tex]
=48
Third quartile=[tex]\frac{3}{4} (n+1)^{th} term[/tex]
= [tex]\frac{67+ 71}{2}[/tex]
= 69
Interquartile range = (69- 48)
= 21
