The data sorted from least to greates is:
32, 34, 35, 35, 39, 40, 44, 47
Now, the interquartile range is given by:
![\text{IQR}=Q_3-Q_1](https://img.qammunity.org/2023/formulas/mathematics/college/z5fcagr9r4h439y7ygryws4sv9700x50qy.png)
where Q1 and Q3 are the first and third quartile.
We know that the first quartile is the median in the lower half of the and the thir quartile is the median of the upper half of the data.
(32,34,35,35)(39,40,44,47)
Then:
![\begin{gathered} Q_1=(35+34)/(2)=34.5 \\ Q_3=(40+44)/(2)=42 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/siemxfuuo9x1z4hgrfgldhp7fqrou9nznh.png)
Now that we have this values we plug in the formula for the IQR, the