Name: ________________________________________ Date: _____________ Period: ______
Trigonometry and Discrete Mathematics
25 Points
Final Exam Project
This project is designed to give you some practical experience applying the voting
methods we have studied in class. You will work individually and be required to develop a
preference questionnaire. The questionnaire must then be used to survey at least 30 different
people. The preference ballots are to be accumulated into a preference schedule. You will use
each of the different voting methods to determine the “winner''. A final evaluation of the survey
results and of the best voting method is to be made.
The Questionnaires
A. Must consist of 4 options which are to be ranked according to preference by each person.
B. Must be given to at least 30 different people.
C. Results are to be summarized in a preference schedule.
Voting Methods
A. You are to apply all 4 different voting methods to your preference schedule.
B. A detailed description of the work involved to apply each method is to be included and
thorough. No credit will be given if no work is shown.
Grading of the Project
5 points - Title page and copy of survey with preference schedule neat and organized
10 points - Correctness of voting method calculations
10 points –Summary and comparison of methods with all questions answered
Format of Written Report
You must turn in a final typed report. This report is to consist of the following items:
1. Introduction page (This page should include a title and your name.)
2. Survey page (This page should include the survey question, the 4 survey options, the
total number of people surveyed, and the preference schedule generated from the
survey.)
3. Plurality results page (This page should include all calculations and the results of using
this method.)
4. Hare results page (This page should include all calculations and the results of using this
method.)
5. Borda Count Results page (This page should include all calculations and the results of
using this method.)
6. Pairwise Comparison results page (This page should include all calculations and the
results of using this method.)
7. Summary page (This page should include the following questions TYPED and answered
completely):
 The voting results are to be compared. Did any candidate win more than once?
Were there any ties among candidates using any of the 4 methods?
 Which voting method was “best'' and why?
 What conflicts, if any, existed between the methods?
 Do you think your questionnaire and its options were good?
 What method did you use for gathering your preference ballots and asking
people to vote?
 What changes in your questionnaire and surveying method would you make if
you did this again and why? (If you would not make any changes explain why.)
 Which candidate is your overall winner? If a different candidate won each time,
please state that. If there was a tie, also state that.