Question

These box plots show the basketball scores for two teams.

Bulldogs
55
70
80
90
105

Tigers
55 60 65
85
110

Basketball scores
Which statement is the most appropriate comparison of the spreads?

O A. The range for the Bulldogs, 20, is less than the range for the
Tigers, 25.

O B. The median for the Bulldogs, 80, is more than the median for the
Tigers, 65.

O C. The interquartile range (IQR) for the Bulldogs, 20, is less than the
IQR for the Tigers, 25.

D. The interquartile ranges (IQRs) for the Bulldogs and Tigers are
both 55.​

Answer 1

C

Explanation:

Answer 2

C. The interquartile range (IQR) for the Bulldogs, 20, is less than the

IQR for the Tigers, 25.

Explanation:

When describing the spread of a given data set in a box plot using the five-number summary, the measure that is of utmost important is the range or the interquartile range.

The range is the difference between the max and the min.

The interquartile range is the difference between Q3 and Q1.

Therefore, considering the options given:

=>Option A is incorrect because the range for bull dog is 50 (105 - 55), while the range for Tigers is 55 (110 - 55).

=>Median cannot be used for describing spread, so option B is not the most appropriate comparison of the spreads.

=>Option C is correct and the most appropriate because the interquartile range of bulldogs is 20 (90 - 70), which is less than the IQR of Tigers which is 25 (85 - 60).

=>Option D is incorrect.