Question 6 of 12, step 1 of 1 Continue filling in the preference table based on the following preference ballot results. The candidates are Lewis, Grant, Archer, Newell, Jenkir Lewis, Archer, Jenkins, Grant, Newell: 231 Jenkins, Grant, Lewis, Newell, Archer: 192 Grant, Newell, Jenkins, Lewis, Archer: 269 Archer, Jenkins, Lewis, Grant, Newell: 299 Grant, Lewis, Archer, Newell, Jenkins: 126 Newell, Grant, Archer, Lewis, Jenkins: 138

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To fill in the preference table based on the provided ballot results, we need to analyze the rankings of each candidate from the ballots and tally the votes accordingly.

### Step 1: Extract the Data
We have the following preference ballot results:

1. Lewis, Archer, Jenkins, Grant, Newell: 231 votes
2. Jenkins, Grant, Lewis, Newell, Archer: 192 votes
3. Grant, Newell, Jenkins, Lewis, Archer: 269 votes
4. Archer, Jenkins, Lewis, Grant, Newell: 299 votes
5. Grant, Lewis, Archer, Newell, Jenkins: 126 votes
6. Newell, Grant, Archer, Lewis, Jenkins: 138 votes

### Step 2: Create the Preference Table
We will create a preference table that shows how many voters prefer each candidate over the others.

#### Tallying Preferences
We will count the number of votes each candidate receives in each position:

- **1st Choice Votes:**
  - Lewis: 231 + 0 + 0 + 0 + 126 + 0 = 357
  - Grant: 0 + 192 + 269 + 0 + 126 + 138 = 725
  - Archer: 0 + 0 + 0 + 299 + 0 + 0 = 299
  - Jenkins: 0 + 0 + 0 + 0 + 0 + 0 = 0
  - Newell: 0 + 0 + 0 + 0 + 0 + 0 = 0

- **2nd Choice Votes:**
  - Lewis: 0 + 0 + 0 + 0 + 0 + 0 = 0
  - Grant: 231 + 0 + 0 + 0 + 0 + 0 = 231
  - Archer: 0 + 0 + 0 + 0 + 0 + 0 = 0
  - Jenkins: 0 + 0 + 0 + 0 + 0 + 0 = 0
  - Newell: 0 + 0 + 0 + 0 + 0 + 0 = 0

- **3rd Choice Votes:**
  - Lewis: 0 + 0 + 0 + 0 + 0 + 0 = 0
  - Grant: 0 + 0 + 0 + 0 + 0 + 0 = 0
  - Archer: 0 + 0 + 0 + 0 + 0 + 0 = 0
  - Jenkins: 0 + 0 + 0 + 0 + 0 + 0 = 0
  - Newell: 0 + 0 + 0 + 0 + 0 + 0 = 0

- **4th Choice Votes:**
  - Lewis: 0 + 0 + 0 + 0 + 0 + 0 = 0
  - Grant: 0 + 0 + 0 + 0 + 0 + 0 = 0
  - Archer: 0 + 0 + 0 + 0 + 0 + 0 = 0
  - Jenkins: 0 + 0 + 0 + 0 + 0 + 0 = 0
  - Newell: 0 + 0 + 0 + 0 + 0 + 0 = 0

- **5th Choice Votes:**
  - Lewis: 0 + 0 + 0 + 0 + 0 + 0 = 0
  - Grant: 0 + 0 + 0 + 0 + 0 + 0 = 0
  - Archer: 0 + 0 + 0 + 0 + 0 + 0 = 0
  - Jenkins: 0 + 0 + 0 + 0 + 0 + 0 = 0
  - Newell: 0 + 0 + 0 + 0 + 0 + 0 = 0

### Final Preference Table
Now we can summarize the results in a preference table format:

| Candidate | 1st Choice | 2nd Choice | 3rd Choice | 4th Choice | 5th Choice |
|-----------|------------|------------|------------|------------|------------|
| Lewis     | 357        | 0          | 0          | 0          | 0          |
| Grant     | 725        | 231        | 0          | 0          | 0          |
| Archer    | 299        | 0          | 0          | 0          | 0          |
| Jenkins   | 0          | 0          | 0          | 0          | 0          |
| Newell    | 0          | 0          | 0          | 0          | 0          |

This table summarizes the preferences based on the provided ballot results.
| Candidate | 1st Choice | 2nd Choice | 3rd Choice | 4th Choice | 5th Choice | |-----------|------------|------------|------------|------------|------------| | Lewis | 357 | 0 | 0 | 0 | 0 | | Grant | 725 | 231 | 0 | 0 | 0 | | Archer | 299 | 0 | 0 | 0 | 0 | | Jenkins | 0 | 0 | 0 | 0 | 0 | | Newell | 0 | 0 | 0 | 0 | 0 |

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