The given data set is 21,31,26,24,28,26.
Arranging the data set in the ascending order,
21,24,26,26,28,31.
The data set contains 6 numbers,
The median can be determined by taking the average of 3rd and 4th term of the data set,
[tex]\begin{gathered} \text{Median}=\frac{26+26}{2} \\ =26 \end{gathered}[/tex]Thus, the required median is 26.
The range can be determined by taking the difference between the highest and the lowest value of the data set,
[tex]\begin{gathered} \text{Range}=31-21 \\ =10 \end{gathered}[/tex]Thus, the range of the data set is 10.
The interquartile range of the data set can be determined by taking the difference of quartile 1 and quartile 3.
[tex]\begin{gathered} \text{IQR}=Q_3-Q_1 \\ =28-24 \\ =4 \end{gathered}[/tex]Thus, the required interquartile range is 4.
