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.

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Chapter2: Some Tools Of The Economist
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**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:**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.
**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:

---

**Footer Information:**
**Temperature:** 78°F  
**Weather Condition:** Sunny  

**Date and Time on Device:** 10:24 AM, 6/25/2022
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: --- **Footer Information:** **Temperature:** 78°F **Weather Condition:** Sunny **Date and Time on Device:** 10:24 AM, 6/25/2022
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