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