Question

3. Find the median, range, and interquartile range for this data set. 21, 31, 26, 24, 28. 26 Median: Range: IQR:

Answer 1

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,

`\begin{gathered} \text{Median}=(26+26)/(2) \\ =26 \end{gathered}`

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,

`\begin{gathered} \text{Range}=31-21 \\ =10 \end{gathered}`

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.

`\begin{gathered} \text{IQR}=Q_3-Q_1 \\ =28-24 \\ =4 \end{gathered}`

Thus, the required interquartile range is 4.