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Transcribe and analyze individual ballots
Using the Ballot Analysis knowledge point
We analyze the 14 individual ballots to determine the preference ranking of each voter:
- Ballot 1: 1st: T, 2nd: L, 3rd: E (T > L > E)
- Ballot 2: 1st: T, 2nd: E, 3rd: L (T > E > L)
- Ballot 3: 1st: T, 2nd: E, 3rd: L (T > E > L)
- Ballot 4: 1st: L, 2nd: E, 3rd: T (L > E > T)
- Ballot 5: 1st: E, 2nd: L, 3rd: T (E > L > T)
- Ballot 6: 1st: T, 2nd: L, 3rd: E (T > L > E)
- Ballot 7: 1st: E, 2nd: L, 3rd: T (E > L > T)
- Ballot 8: 1st: E, 2nd: T, 3rd: L (E > T > L)
- Ballot 9: 1st: L, 2nd: E, 3rd: T (L > E > T)
- Ballot 10: 1st: E, 2nd: T, 3rd: L (E > T > L)
- Ballot 11: 1st: T, 2nd: L, 3rd: E (T > L > E)
- Ballot 12: 1st: E, 2nd: L, 3rd: T (E > L > T)
- Ballot 13: 1st: L, 2nd: E, 3rd: T (L > E > T)
- Ballot 14: 1st: T, 2nd: E, 3rd: L (T > E > L)
Group identical preference rankings
Using the Preference Schedules knowledge point
We group the ballots by their preference order and count the occurrences:
- T > L > E: Ballots 1, 6, 11 (3 votes)
- T > E > L: Ballots 2, 3, 14 (3 votes)
- L > E > T: Ballots 4, 9, 13 (3 votes)
- E > L > T: Ballots 5, 7, 12 (3 votes)
- E > T > L: Ballots 8, 10 (2 votes)
Total votes: \(3 + 3 + 3 + 3 + 2 = 14\).
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| Number of votes | 3 | 3 | 3 | 3 | 2 |
|---|---|---|---|---|---|
| Second choice | L | E | E | L | T |
| Third choice | E | L | T | T | L |