Question

What is the interquartile range of the following data set?22, 27, 31, 38, 35, 26, 27 A. 27 B. 26 C. 9 D. 13

Answer 1

C. 9

Explanation

Before calculating the interquartile range (IQR), we need to find the first quartile (Q1) and the third quartile (Q3). To do this, first, we need to order the values from least to greatest and find the median.

The median is the value placed in the middle of the ordered list.

The Q1 is the value placed in the middle from the minimum to the median.

The Q3 is the value placed in the middle from the median to the maximum.

The interquartile range is calculated as follows:

`\begin{gathered} IQR=Q3-Q1 \\ IQR=35-26 \\ IQR=9 \end{gathered}`