Question

A senior high school class held an election for class president. Instead of just voting for one candidate, the students were asked to rank all four candidates in order of preference. The results are shown in the table below. Rankings Raymond Lee 2 3 1 3 4 2 Suzanne Brewer 4 1 3 4 1 3 Elaine Garcia 1 2 2 2 3 4 Michael Turley 3 4 4 1 2 1 Number of votes: 18 12 17 19 24 27 Using the Borda Count method, which student should be class president?

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Answer to a math question A senior high school class held an election for class president. Instead of just voting for one candidate, the students were asked to rank all four candidates in order of preference. The results are shown in the table below. Rankings Raymond Lee 2 3 1 3 4 2 Suzanne Brewer 4 1 3 4 1 3 Elaine Garcia 1 2 2 2 3 4 Michael Turley 3 4 4 1 2 1 Number of votes: 18 12 17 19 24 27 Using the Borda Count method, which student should be class president?

Expert avatar
Eliseo
4.6
102 Answers
The Borda Count method assigns point values to each ranking position and then sums up the points for each candidate to determine the winner. The point values are usually one less than the number of candidates on the ranking list. In this case, since there are 4 candidates, the point values will be 3, 2, 1, and 0 for ranks 1, 2, 3, and 4 respectively.

Now, we calculate the total points for each candidate:
- Raymond Lee: 3*2 + 2*3 + 1*1 + 0*3 = 6 + 6 + 1 + 0 = 13.
- Suzanne Brewer: 3*4 + 2*1 + 1*3 + 0*4 = 12 + 2 + 3 + 0 = 17.
- Elaine Garcia: 3*1 + 2*2 + 1*2 + 0*4 = 3 + 4 + 2 + 0 = 9.
- Michael Turley: 3*3 + 2*4 + 1*4 + 0*1 = 9 + 8 + 4 + 0 = 21.

Therefore, according to the Borda Count method, Michael Turley should be the class president since he has the highest total points.

\boxed{Michael Turley} should be class president.

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