Construct a frequency polygon using relative frequencies. NFL Salaries Relative frequency 0.5 0.45 0.35 0.3 0.25 0.2 0.15 0.05 0 0.00 0.00 38.35 41.35 0.00 0.00 44.35 47.35 Millions of dolla 0.00 0.00 50.35 53.35 0.00 56.35 0.00 59.35

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### NFL Salaries

The table below displays the salaries, in millions of dollars, for 28 NFL teams.

| Class Limits | Frequency |
|--------------|-----------|
| 39.9 – 42.8  | 1         |
| 42.9 – 45.8  | 1         |
| 45.9 – 48.8  | 4         |
| 48.9 – 51.8  | 5         |
| 51.9 – 54.8  | 12        |
| 54.9 – 57.8  | 5         |

**Total:** 28

---

### Relative Frequency Distribution

The following table presents the relative frequency distribution of the salaries:

| Class Limits | Class Midpoint | Relative Frequency |
|--------------|----------------|--------------------|
| 39.9 – 42.8  | 41.35          | 0.04               |
| 42.9 – 45.8  | 44.35          | 0.04               |
| 45.9 – 48.8  | 47.35          | 0.14               |
| 48.9 – 51.8  | 50.35          | 0.18               |
| 51.9 – 54.8  | 53.35          | 0.43               |
| 54.9 – 57.8  | 56.35          | 0.18               |

**Total:** 1.01

(Note: Relative frequencies have been rounded to two decimal places, and due to rounding, the total may slightly exceed 1.00.)
Transcribed Image Text:### NFL Salaries The table below displays the salaries, in millions of dollars, for 28 NFL teams. | Class Limits | Frequency | |--------------|-----------| | 39.9 – 42.8 | 1 | | 42.9 – 45.8 | 1 | | 45.9 – 48.8 | 4 | | 48.9 – 51.8 | 5 | | 51.9 – 54.8 | 12 | | 54.9 – 57.8 | 5 | **Total:** 28 --- ### Relative Frequency Distribution The following table presents the relative frequency distribution of the salaries: | Class Limits | Class Midpoint | Relative Frequency | |--------------|----------------|--------------------| | 39.9 – 42.8 | 41.35 | 0.04 | | 42.9 – 45.8 | 44.35 | 0.04 | | 45.9 – 48.8 | 47.35 | 0.14 | | 48.9 – 51.8 | 50.35 | 0.18 | | 51.9 – 54.8 | 53.35 | 0.43 | | 54.9 – 57.8 | 56.35 | 0.18 | **Total:** 1.01 (Note: Relative frequencies have been rounded to two decimal places, and due to rounding, the total may slightly exceed 1.00.)
### Constructing a Frequency Polygon Using Relative Frequencies

#### NFL Salaries

The provided graph represents a frequency polygon for NFL salaries, measured in millions of dollars, with relative frequencies on the y-axis and salary ranges on the x-axis.

**X-Axis (Millions of Dollars):**  
- 38.35
- 41.35
- 44.35
- 47.35
- 50.35
- 53.35
- 56.35
- 59.35

**Y-Axis (Relative Frequency):**  
- Ranges from 0 to 0.5, with intervals of 0.05.

**Data Points:**
- All data points along the x-axis show a relative frequency of 0.00, indicating that there are no occurrences of these salary figures in the data set.

**Analysis:**
- The graph indicates that there are no NFL salaries falling within the specified ranges, as evidenced by the zero relative frequencies across all x-axis values. This pattern suggests that the data set used for this frequency polygon does not include these salary figures.

#### Educational Note:
A frequency polygon is a graphical tool used to visualize the distribution of data points based on frequency within defined intervals. In this case, it helps to see how frequently various NFL salary ranges occur relative to one another, although all show zero frequency here.
Transcribed Image Text:### Constructing a Frequency Polygon Using Relative Frequencies #### NFL Salaries The provided graph represents a frequency polygon for NFL salaries, measured in millions of dollars, with relative frequencies on the y-axis and salary ranges on the x-axis. **X-Axis (Millions of Dollars):** - 38.35 - 41.35 - 44.35 - 47.35 - 50.35 - 53.35 - 56.35 - 59.35 **Y-Axis (Relative Frequency):** - Ranges from 0 to 0.5, with intervals of 0.05. **Data Points:** - All data points along the x-axis show a relative frequency of 0.00, indicating that there are no occurrences of these salary figures in the data set. **Analysis:** - The graph indicates that there are no NFL salaries falling within the specified ranges, as evidenced by the zero relative frequencies across all x-axis values. This pattern suggests that the data set used for this frequency polygon does not include these salary figures. #### Educational Note: A frequency polygon is a graphical tool used to visualize the distribution of data points based on frequency within defined intervals. In this case, it helps to see how frequently various NFL salary ranges occur relative to one another, although all show zero frequency here.
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