Question

These box plots show the basketball scores for two teams.Bulldogs55708090105Wolverines355580 859630 35 40455055 60 6570 758085 90 95 100 105 110Basketball scoresWhich statement is the most appropriate comparison of the spreads?

Answer 1

These box plots show the basketball scores for two teams Bulldogs & Wolvernies.

Here we have to compare the spread of scores by Interquartile Range.

The interquartile range defines the difference between the third and the first quartile

It express as : Upper Quartile - Lower Quartile

For the Bulldogs :

Upper Quartile is 90

Lower Quartile is 70

So, Interquartile Range = Upper Quartile - Lower Quartile

Interquartile Range = 90 - 70

Interquartile Range = 20

For the Wolveniers :

Upper Quartile is 85

Lower Quartile is 55

So, Interquartile Range = Upper Quartile - Lower Quartile

Interquartile Range = 85 - 55

Interquartile Range = 30

as : 20 < 30

So, The Interquartile Range for bulldogs, 20 is less than the IQR for the Wolveniers, 30.

Answer : B) The Interquartile Range for bulldogs, 20 is less than the IQR for the Wolveniers, 30.