Consider the following scenario to understand the relationship between marginal and average values. Suppose Crystal is a professional basketball player, and her game log for free throws can be summarized in the following table. Fill in the columns with Crystal's free-throw percentage for each game and her overall free-throw average after each game. Game Result Total Game Free-Throw Percentage Average Free-Throw Percentage 8/10 80 14/20 15/25 18/30 26/40 Game 1 2 3 4 5 8/10 6/10 1/5 3/5 8/10 80 On the following graph, use the orange points (square symbol) to plot Crystal's free-throw percentage for each game individually, and use the green points (triangle symbol) to plot her 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.
Consider the following scenario to understand the relationship between marginal and average values. Suppose Crystal is a professional basketball player, and her game log for free throws can be summarized in the following table. Fill in the columns with Crystal's free-throw percentage for each game and her overall free-throw average after each game. Game Result Total Game Free-Throw Percentage Average Free-Throw Percentage 8/10 80 14/20 15/25 18/30 26/40 Game 1 2 3 4 5 8/10 6/10 1/5 3/5 8/10 80 On the following graph, use the orange points (square symbol) to plot Crystal's free-throw percentage for each game individually, and use the green points (triangle symbol) to plot her 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.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:**Understanding Marginal and Average Values in Free Throws**
Consider the following scenario to understand the relationship between marginal and average values. Suppose Crystal is a professional basketball player, and her game log for free throws can be summarized in the following table.
**Table:**
| Game | Game Result | Total Free Throws | Game Free-Throw Percentage | Average Free-Throw Percentage |
|------|--------------|-------------------|----------------------------|------------------------------|
| 1 | 8/10 | 8/10 | | |
| 2 | 6/10 | 14/20 | | |
| 3 | 1/5 | 15/25 | | |
| 4 | 3/5 | 18/30 | | |
| 5 | 8/10 | 26/40 | | |
To complete the table, fill in the columns with Crystal’s free-throw percentage for each game and her overall free-throw average after each game.
**Graph Instructions:**
On the following graph, use the orange points (square symbol) to plot Crystal’s free-throw percentage for each game individually, and use the green points (triangle symbol) to plot her 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.
*Graph Description:*
The axes on the graph will allow you to visually compare Crystal's individual game performance against her cumulative average performance over several games. The x-axis represents the game number, and the y-axis represents the free-throw percentage.
By plotting the data according to the instructions, the graph will help illustrate trends and fluctuations in Crystal’s free-throw performance over time. This visual representation can be a useful tool for understanding the relationship between individual game performance and overall performance trends.

Transcribed Image Text:**Homework (Ch 13)**
---
### Free-Throw Percentage Analysis
#### Graph Description
The graph plots the free-throw percentage versus the game for Crystal's performance.
- **Axes:**
- **X-Axis**: Represents the game number (labelled as "GAME"), ranging from 0 to 5.
- **Y-Axis**: Represents the free-throw percentage, ranging from 0% to 100%.
- **Data Points:**
- **Game Free-Throw Percentage:** Represented by square orange markers.
- **Average Free-Throw Percentage:** Represented by triangular green markers.
#### Analysis
You can think of the result in any one game as being Crystal's marginal free-throw percentage. Based on your previous answer, you can deduce that when Crystal's marginal free-throw percentage is below the average, the average must be:
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**Date and Time on Device:** 10:24 AM, 6/25/2022
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