Question

The difference of the range and the interquartile range of the data set represented by the box plot is .

a. a box plot is plotted on a horizontal axis that ranges from 14 to 38 in increments of 2.
b. the maximum, the upper quartile, the median, the lower quartile, the minimum quartile are as follows: 34, 29, 26, 21, and 16.

Answer 1

The difference between the range and the interquartile range of the data set represented by the box plot is 10.

Step-by-step explanation:

The difference between the range and the interquartile range of a data set can be calculated using the given information from the box plot. The range is the difference between the maximum and minimum values, which in this case is 34-16 = 18. The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1), which is 29-21 = 8. Therefore, the difference between the range and the IQR is 18-8 = 10.