Question

Part 2 is what I am having a hard time with.

Answer 1

`\begin{gathered} Q_1=17 \\ Q_3=24 \\ IQR=7 \end{gathered}`

Step-by-step explanation:

Given the data in the attached image.

Let us rearrange the data in ascending order;

`\begin{gathered} 10,11,13,14,14,14,15,17,18,19, \\ 19,20,20,20,21,22,22,22,23,24, \\ 24,24,24,25,26,26,27,28,29,32 \end{gathered}`

We can now find the value of Q1, Q3 and interquartile range.

`\begin{gathered} 10,11,13,14,14,14,15,|17|,18,19, \\ 19,20,20,20,21,\parallel22,22,22,23,24, \\ 24,24,|24|,25,26,26,27,28,29,32 \end{gathered}`

The Q1 is the first quartile of the data, which is the 8th term when arranged in accending order;

`Q_1=17`

The Q3 is the third quartile of the data, which is the 23rd term when arranged in accending order;

`Q_3=24`

The interquartile range IQR is the difference between the first and the third quartile;

`\begin{gathered} IQR=Q_3-Q_1=24-17 \\ IQR=7 \end{gathered}`