Answer: 4
Step-by-step explanation:
First arrange the given data in ascending order :-
\(0,0,2,2,2,3,4,6,8\)
Number of terms = 9
Second quartile =Median=\(\dfrac{9+1}{2}=5^{th}\ term=2\)
Now, the first quartile \(Q_1\)=The median for the lower half of data
=
Mean of 2nd term and 3rd term
\(=\frac{0+2}{2}=1\)
The third quartile \(Q_3\)=The median for the upper half of data
=
Mean of 7th term and 8th term
\(=\frac{2+8}{2}=5\)
Now, Interquartile range =\(Q_3-Q_1=5-1=4\)
Hence, the interquartile range of the data =4.
