Consider the following scenario to understand the relationship between marginal

ID: 1168340 • Letter: C

Question

Consider the following scenario to understand the relationship between marginal and average values. Suppose Felix is a professional basketball player, and his game log for free throws can be summarized in the following table.

Fill in the columns with Felix's free-throw percentage for each game and his overall free-throw average after each game

Fill in the columns with Felix's free-throw percentage for each game and his overall free-throw average after each game.

On the following graph, use the orange points (square symbol) to plot Felix's free-throw percentage for each game individually, and use the green points (triangle symbol) to plot his overall average free-throw percentage after each game.

Note: Plot your points in the order in which you would like them connected. Line segments will connect the points automatically.

Game Game Result Total Game Free-Throw Percentage Average Free-Throw Percentage 1 8/10 8/10 80 80 2 4/10 12/20 3 2/8 14/28 4 2/4 16/32 5 6/8 22/40

Explanation / Answer

Following is the complete table –

Table 1

Game

Game result

Total

Game Free Throw Percentage

Average Free Throw Percentage

8/10

(8/10)*100 = 80

4/10

12/20

(4/10)*100 = 40

(12/20)*100 = 60

2/8

14/28

(2/8)*100 = 25

(14/28)*100 = 50

2/4

16/32

(2/4)*100 = 50

(16/32)*100 = 50

6/8

22/40

(6/8)*100 = 75

(22/40)*100 = 55

Following is the required graph -