Answer: D. 83
Explanation:
Given: The first quartile of a data set is \(Q_1=32\), and the third quartile is \(Q_2=52\).
The formula of to calculate the interquartile range is :-
\(IQR= Q_3 - Q_1= 52-32= 20\)
The lower limit of interval for the data having no outlier :-
\(Q_1-1.5(IQR)=32-1.5(20) = 2\)
The upper limit of interval for the data having no outlier:-
\(Q_3+1.5(IQR)=52+1.5(20) = 82\)
Since 83 is the value which lies outside the interval or greater than the upper limit.
Therefore, outlier for the data = 83.
