3. The relationship between marginal and average costs

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

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

Game

Game Result

Total

Game Free-Throw Percentage

Average Free-Throw Percentage

1 8/10 8/10 80 80
2 6/10 14/20
3 1/5 15/25
4 3/5 18/30
5 8/10 26/40
On the following graph, use the orange points (square symbol) to plot Tim'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.