Question

What is the interquartile range of this data set?{40, 48, 62, 60, 62, 40, 25, 50, 20, 30, 55}-__-

Answer 1

First, we need to order the data set from least to greatest,

`20,25,30,40,40,48,50,55,60,62,62`

Now, split the data set in halves so that we can calculate the Q1 and Q3, as shown below.

`\begin{gathered} 20,25,30,40,40 \\ \Rightarrow Q1=30 \\ 50,55,60,62,62 \\ \Rightarrow Q3=60 \end{gathered}`

Thus, the IQR is,

`\begin{gathered} \text{IQR}=Q3-Q1=60-30=30 \\ \Rightarrow\text{IQR}=30 \end{gathered}`

The answer is 30, the Interquartile range is equal to 30.