The ordered list of the given plot is:
0, 0, 2, 2, 2, 3, 4, 4, 5, 5, 5, 7, 7
The first interquartile is given by:
IQ = Q3 - Q1
Where Q3 and Q1:
[tex]\begin{gathered} Q_1=\frac{1}{4}(n+1) \\ Q_3=\frac{3}{4}(n+1) \end{gathered}[/tex]
where n = 8 is the total number of data.
[tex]\begin{gathered} Q_1=\frac{1}{4}(8+1)=\frac{1}{4}(9)=\frac{9}{4} \\ Q_3=\frac{3}{4}(8+1)=\frac{3}{4}(9)=\frac{27}{4} \end{gathered}[/tex]
Then, the interquatile range:
IQ = 27/4 - 9/4 = 18/4
Hence, the interquartile range is 18/4
