Asked by isabella hernandez on May 01, 2024
Verified
A Borda count is used to decide an election between three candidates, x, y, and z, where a score of 1 is awarded to a first choice, 2 to a second choice, and 3 to a third choice.There are 25 voters.10 voters rank the candidates x first, y second, and z third; 7 voters rank the candidates x first, z second, and y third; 5 rank the candidates z first, y second, and x third; and 3 voters rank the candidates y first, z second, and x third.Which candidate wins?
A) Candidate x.
B) Candidate y.
C) Candidate z.
D) There is a tie between x and y, with z coming in third.
E) There is a tie between y and z, with x coming in third.
Borda Count
A voting method where voters rank options or candidates, and rankings are converted into scores to determine the winner.
Candidates
Individuals who are considered for or are in the process of being selected for a position, role, award, or any form of recognition.
Voters
Individuals who have the right and responsibility to cast ballots in elections to choose representatives or decide on policy issues.
- Gain an understanding of how the Borda count approach functions and its relevance in electoral systems.
Verified Answer
CW
Camryn WilsonMay 06, 2024
Final Answer :
A
Explanation :
Candidate x wins because when calculating the Borda count, x receives the most points. The calculation is as follows: - x: 10×1+7×1+5×3+3×3=10+7+15+9=4110 \times 1 + 7 \times 1 + 5 \times 3 + 3 \times 3 = 10 + 7 + 15 + 9 = 4110×1+7×1+5×3+3×3=10+7+15+9=41 points - y: 10×2+7×3+5×2+3×1=20+21+10+3=5410 \times 2 + 7 \times 3 + 5 \times 2 + 3 \times 1 = 20 + 21 + 10 + 3 = 5410×2+7×3+5×2+3×1=20+21+10+3=54 points - z: 10×3+7×2+5×1+3×2=30+14+5+6=5510 \times 3 + 7 \times 2 + 5 \times 1 + 3 \times 2 = 30 + 14 + 5 + 6 = 5510×3+7×2+5×1+3×2=30+14+5+6=55 points Since a lower score is better in Borda count, candidate x, with the lowest total score of 41, wins.
Learning Objectives
- Gain an understanding of how the Borda count approach functions and its relevance in electoral systems.