Question

type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar.
the difference of the range and the interquartile range of the data set represented by the box plot is .

Explanation:

Step1: Find the range

The range is the difference between the maximum and minimum values. From the box plot, the minimum value (leftmost dot) is 16, and the maximum value (rightmost dot) is 34. So, range = \( 34 - 16 = 18 \).

Step2: Find the interquartile range (IQR)

The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the box plot, Q1 (left end of the box) is 21, and Q3 (right end of the box) is 29. So, IQR = \( 29 - 21 = 8 \).

Step3: Find the difference

Subtract the IQR from the range: \( 18 - 8 = 10 \).

Answer:

10