On the right are ratings for passers in a football league. Find the three quartiles for the ratings. Passer Rating Points O Martinez 101.5 What is Q,? Washington 94.8 Abdoullah 92.8 Schmidt 85.2 Jarvis 84.1 Jefferson 80.5 Roddick 79.6 Singh 77.8 Goldman 77.1 Harvey 75.5

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The text is about NFL passer rating points for the 2009 regular season. A table lists ratings for ten passers ranked from 1 to 10:

| Rank | 1   | 2   | 3   | 4   | 5   | 6   | 7   | 8   | 9   | 10  |
|------|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|
| NFL Passer | A | B | C | D | E | F | G | H | I | J |
| Rating Points | 92.9 | 96.3 | 97.3 | 98.9 | 99.3 | 101.7 | 103.3 | 104.8 | 107.7 | 109.9 |

The task is to construct a box plot for the rating points data. Three box plot options (A, B, C) are provided, and you need to choose the correct one.

**Graphs Explanation:**

- **Option A:**
  - Quartiles: Q1 = 97.3, Q2 = 100.5, Q3 = 104.8
  - Features a range from 92.9 to 109.9 with the box covering approximately the interquartile range.
  
- **Option B:**
  - Quartiles: Q1 = 98.9, Q2 = 101.7, Q3 = 107.7
  - Displays a different distribution with a shifted interquartile range.

- **Option C:**
  - Quartiles: Q1 = 96.3, Q2 = 98.9, Q3 = 101.7
  - Shows yet another arrangement of the interquartile range.

The plots have a horizontal line representing the data range (92.9 to 109.9) and a box indicating the interquartile range, which is bounded by Q1 and Q3 with a line at Q2 representing the median. The correct box plot should be chosen based on the provided ratings data.
Transcribed Image Text:The text is about NFL passer rating points for the 2009 regular season. A table lists ratings for ten passers ranked from 1 to 10: | Rank | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |------|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----| | NFL Passer | A | B | C | D | E | F | G | H | I | J | | Rating Points | 92.9 | 96.3 | 97.3 | 98.9 | 99.3 | 101.7 | 103.3 | 104.8 | 107.7 | 109.9 | The task is to construct a box plot for the rating points data. Three box plot options (A, B, C) are provided, and you need to choose the correct one. **Graphs Explanation:** - **Option A:** - Quartiles: Q1 = 97.3, Q2 = 100.5, Q3 = 104.8 - Features a range from 92.9 to 109.9 with the box covering approximately the interquartile range. - **Option B:** - Quartiles: Q1 = 98.9, Q2 = 101.7, Q3 = 107.7 - Displays a different distribution with a shifted interquartile range. - **Option C:** - Quartiles: Q1 = 96.3, Q2 = 98.9, Q3 = 101.7 - Shows yet another arrangement of the interquartile range. The plots have a horizontal line representing the data range (92.9 to 109.9) and a box indicating the interquartile range, which is bounded by Q1 and Q3 with a line at Q2 representing the median. The correct box plot should be chosen based on the provided ratings data.
**Passer Ratings in a Football League**

This section provides the ratings for passers in a football league. We aim to find the three quartiles for these ratings.

**Task:**
- Determine the first quartile \( Q_1 \).

**Ratings Data:**

| Passer     | Rating Points |
|------------|---------------|
| Martínez   | 101.5         |
| Washington | 94.8          |
| Abdullah   | 92.8          |
| Schmidt    | 85.2          |
| Jarvis     | 84.1          |
| Jefferson  | 80.5          |
| Roddick    | 79.6          |
| Singh      | 77.8          |
| Goldman    | 77.1          |
| Harvey     | 75.5          |

To calculate the quartiles, you will need to arrange the ratings in ascending order and then determine the specific points that represent \( Q_1 \), \( Q_2 \) (the median), and \( Q_3 \).

**Note:** Calculate \( Q_1 \) based on the ordered dataset.
Transcribed Image Text:**Passer Ratings in a Football League** This section provides the ratings for passers in a football league. We aim to find the three quartiles for these ratings. **Task:** - Determine the first quartile \( Q_1 \). **Ratings Data:** | Passer | Rating Points | |------------|---------------| | Martínez | 101.5 | | Washington | 94.8 | | Abdullah | 92.8 | | Schmidt | 85.2 | | Jarvis | 84.1 | | Jefferson | 80.5 | | Roddick | 79.6 | | Singh | 77.8 | | Goldman | 77.1 | | Harvey | 75.5 | To calculate the quartiles, you will need to arrange the ratings in ascending order and then determine the specific points that represent \( Q_1 \), \( Q_2 \) (the median), and \( Q_3 \). **Note:** Calculate \( Q_1 \) based on the ordered dataset.
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