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 22/40Explanation / Answer
Following is the complete table –
Table 1
Game
Game result
Total
Game Free Throw Percentage
Average Free Throw Percentage
1
8/10
8/10
(8/10)*100 = 80
(8/10)*100 = 80
2
4/10
12/20
(4/10)*100 = 40
(12/20)*100 = 60
3
2/8
14/28
(2/8)*100 = 25
(14/28)*100 = 50
4
2/4
16/32
(2/4)*100 = 50
(16/32)*100 = 50
5
6/8
22/40
(6/8)*100 = 75
(22/40)*100 = 55
Following is the required graph -
Game
Game result
Total
Game Free Throw Percentage
Average Free Throw Percentage
1
8/10
8/10
(8/10)*100 = 80
(8/10)*100 = 80
2
4/10
12/20
(4/10)*100 = 40
(12/20)*100 = 60
3
2/8
14/28
(2/8)*100 = 25
(14/28)*100 = 50
4
2/4
16/32
(2/4)*100 = 50
(16/32)*100 = 50
5
6/8
22/40
(6/8)*100 = 75
(22/40)*100 = 55