Consider the given preference schedule with the number of voters ranking the candidates in a local community plebiscite.Rank13155121stWXYY2ndXWZX3rdZZXW4thYYWZ21. Determine the winner by Majority Rule.Group of answer choicesNo winnerCandidate YCandidate XCandidate W
Question
Consider the given preference schedule with the number of voters ranking the candidates in a local community plebiscite.Rank13155121stWXYY2ndXWZX3rdZZXW4thYYWZ21. Determine the winner by Majority Rule.Group of answer choicesNo winnerCandidate YCandidate XCandidate W
Solution
To determine the winner by Majority Rule, we need to find the candidate who is ranked first by more than half of the voters.
Let's add up the number of voters:
13 + 15 + 5 + 12 = 45 voters in total
More than half would be 23 voters.
Now, let's look at the first preference of each group of voters:
- 13 voters prefer candidate W
- 15 voters prefer candidate X
- 5 voters prefer candidate Y
- 12 voters prefer candidate Y
Adding up the votes for each candidate:
- Candidate W has 13 votes
- Candidate X has 15 votes
- Candidate Y has 5 + 12 = 17 votes
No candidate has more than 23 votes, so according to the Majority Rule, there is no winner.
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