Question

Find the range and interquartile range for the data represented by the box plot.

Answer 1

Lowest value: 15

Highest value: 30

Median: 23

Lower quartile: 18

Upper quartile: 27

Range: highest value - lowest value =

Range: 30 - 15 = 15

(IQR) Interquartile range: Upper quartile - Lower quartile =

(IQR): 27 - 18 = 9

Answer 2

Given:

Given that the data are represented by the box plot.

We need to determine the range and interquartile range.

Range:

The range of the data is the difference between the highest and the lowest value in the given set of data.

From the box plot, the highest value is 30 and the lowest value is 15.

Thus, the range of the data is given by

Range = Highest value - Lowest value

Range = 30 - 15 = 15

Thus, the range of the data is 15.

Interquartile range:

The interquartile range is the difference between the ends of the box in the box plot.

Thus, the interquartile range is given by

Interquartile range = 27 - 18 = 9

Thus, the interquartile range is 9.