Question

1. (15 points) You are the manager for a basketball team. You have the choice of picking one of twoplayers to add to your team. The number of points they score each game is shown in the box-and-whisker plots below.

Answer 1

Answers:

a. Dwight Ron

Minimum 1 4

Q1 6 8

Q2 12 14

Q3 15 16

Maximum 20 18

b. Dwight

Range = 19

Interquartile Range = 9

Ron

Range = 14

Interquartile Range = 8

Ron is more consistent than Dwight

Step-by-step explanation:

To graph a box and whisker plot we need the following values:

where Q1 is the lower quartile and Q3 is the upper quartile.

So, the five-number summary for each player points is:

Dwight Ron

Minimum 1 4

Q1 6 8

Q2 12 14

Q3 15 16

Maximum 20 18

Now, we can compare the consistency of these players if we calculate the Range and Interquartile range.

The range is the difference between the minimum and maximum value and the interquartile range is the difference between Q1 and Q3.

So, for each player, we get:

Dwight

Range = 20 - 1 = 19

Interquartile Range = 15 - 6 = 9

Ron

Range = 18 - 4 = 14

Interquartile Range = 16 - 8 = 8

Since Ron has lower measures, he is more consistent than Dwight.