Determine whether the following statement makes sense or does not make sense, and explain your reasoning.
A candidate has a plurality of the vote, yet lost the election using the Borda count method.
Choose the correct answer below.
A.
The statement does not make sense because once the candidate has a plurality of the vote, he is the winner regardless of which method is used.
B.
The statement
makes sense because, using the Borda count method, the candidate with the most total points is the winner, regardless of who has a plurality of the vote.
Your answer is correct.
C.
The statement makes sense because, using the Borda count method, if the candidate has a plurality of the vote, then he or she has the most first-place votes, second-place votes, third-place votes, and so on. Therefore, this candidate should be the winner.
D.
The statement does not make sense
because, using the Borda count method, the candidate who has a plurality of the vote always wins the election.
Choose the correct answer below.
A.
Candidate A received far more last-place votes than any other candidate. This means Candidate A received the fewest first-place votes.
Your answer is not correct.
B.
Candidate E received first-place votes in the cases shown in the last two columns of the table, so Candidate E received only 2
first-place votes. Candidate E received the fewest first-place votes.
C.
Each of candidates A, B, C, and D received a first-place vote in the case shown in one column of the table. This means they each received only 1 first-place vote, and so Candidates A, B, C, and D all tied for the fewest first-place votes.
D.
Candidate A received a first-place vote only in the case shown in the first column of the table, so Candidate A received only 1 first-place vote. Candidate A
received the fewest first-place votes.
E.
Candidate E received first-place votes in the cases shown in the last two columns of the table. These columns represent only 6 votes, so candidate E received the fewest first-place votes.
This is the correct answer.
EEEE
Explain how Jefferson's method apportions seats. Briefly describe the history of Jefferson's method.
Explain how Jefferson's method apportions seats. Choose the correct answer
below.
A.
Begin by finding the standard divisor, standard quotas, and minimum quotas. If there are any extra seats, give one each of the extra seats to the states with the lowest fractional remainders, until all seats are gone.
B.
Begin by finding the standard divisor, standard quotas, and minimum quotas. If there are extra seats, then choose a higher modified divisor and compute modified quotas. Round the modified quotas up to find a new set of minimum quotas. If there are
extra seats, start again with a higher modified divisor. If there are not enough seats, start again with a lower modified divisor.
C.
Begin by finding the standard divisor, standard quotas, and minimum quotas. If there are any extra seats, give one each of the extra seats to the states with the highest fractional remainders, until all seats are gone.
D.
Begin by finding the standard divisor, standard quotas, and minimum quotas. If there are extra seats, then choose a lower
modified divisor and compute modified quotas. Round the modified quotas down to find a new set of minimum quotas. If there are extra seats, start again with a lower modified divisor. If there are not enough seats, start again with a higher modified divisor.
Your answer is correct.
Consider a school district with 50 schools, 1000 teachers, and 25,000 students. If the goal is to apportion teachers among the schools so that the teacher-student ratio is
everywhere the same, what should the standard divisor be?
Choose the correct answer below.
A.
The standard divisor should be 25 because to create a constant student-teacher ratio, divide the number of students by the number of teachers to get 25.
This is the correct answer.
B.
The standard divisor should be 20 because to create a constant teacher-student ratio, divide the number of schools by the number of teachers to get 20.
C.
The standard divisor should be 20
because to create a constant teacher-student ratio, divide the number of teachers by the number of schools to get 20.
Your answer is not correct.
D.
The standard divisor should be 25 because to create a constant student-teacher ratio, divide the number of teachers by the number of students to get 25.
E.
The standard divisor should be 50 because to create a constant student-teacher ratio, divide the number of students by the number of schools to get 50.
F.
The standard
divisor should be 50 because to create a constant student-teacher ratio, divide the number of schools by the number of students to get 50.