Exam 12: Voting Methods

A class of fifth graders voted on their favorite flavor of ice cream, vanilla (V), chocolate (C), or Strawberry (S). The election results are summarized in the preference table below. Using the Borda count method of voting, determine the winner.

The results of an election are summarized in the following preference table. If the plurality method Is used, determine whether the head-to-head comparison criterion has been violated and explain Why.

A county has three districts. Seven representatives are to be appointed to the county board. The Standard divisor is 65 and the standard quota for each district is shown below. (a)Find the upper And lower quotas for each district and (b)determine how many representatives each district should Receive using Hamilton's method.

Make a preference table for the following preference ballots.

A club voted on what time to have their next meeting (12:00 p.m., 1:00 p.m., 5:00 p.m., or 6:00 P.m.). The election results are summarized in the preference table below. Using the Borda count method of voting, determine the winner.

The preference table below summarizes the results of an election. (a)Using the Borda count method of voting, determine the winner. (b)Does the election violate the majority criterion?

The preference table below summarizes the results of an election. Using the Borda count method of voting, determine the winner.

Use the plurality method to determine the winner of the election summarized in the following preference table. Has the head-to-head comparison criterion been violated?

A class of fifth graders voted on their favorite flavor of ice cream, vanilla (V), chocolate (C), or strawberry (S). The election results are summarized in the preference table below. Does the election violate the majority criterion? Explain your answer.

Twelve new police officers are to be assigned to four precincts. The populations of the precincts are Shown below. (a)Use Webster's method to determine how many of the 12 new officers each Precinct should receive and (b)write the modified divisor used (answers may vary). Round the Divisor to the nearest whole number, if necessary.

The results of an election are summarized in the following preference table. Determine the winner using the plurality method. Then decide whether the election violates the head-to-head comparison criterion and explain your answer.

A city with three districts has an increase in population as indicated in the table, Using Hamilton's Method, apportion the 21 seats between the three districts both before and after the population Increase. Look at the percent increase in population for each district to determine if the population Paradox occurred.

If there are 8 candidates in an election, how many pairwise comparisons need to be made in order to Determine a winner?

An automotive repair company has four stores in a large city. The owner purchased 7 diagnostic Computers for the business. The number of cars serviced per store each month is given below along With the standard quota. If the standard divisor is 79.7, (a)use Webster's method to determine how Many computers each store should get based on number of cars serviced and (b)write the modified Divisor used (answers may vary). Round the divisor to the nearest tenth, if necessary.

The Ballroom Dance Club voted on what time to have their Saturday meetings: 9:00 a.m. (N), 10:00 a.m. (T), or 11:00 a.m. (E). The preference ballots for the election are shown below. Make a preference table for the results of the election and answer each question. (a)How many people voted? (b)How many people voted for the candidates in the order of preference NTE? (c)How many people voted for candidate N as their first choice? (d)Using the plurality method, determine the winner of the election.

The preference table below summarizes the results of an election. Use the Borda count method of voting, determine the winner.

The results of an election are summarized in the following preference table. (a)How many people voted? (b)Determine the winner using the plurality method.

The results of an election are summarized in the preference table below. Using the plurality-with-elimination method of voting, determine the winner.