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Exercise 13

Avg difficulty 2.5

In exercises 3-18, complete the following:

  1. How many voters voted in this election?

  2. How many votes are needed for a majority?

  3. Find the winner under the plurality method.

  4. Find the winner under the Instant Runoff Voting method.

  5. Find the winner under the Borda Count Method.

  6. Find the winner under Copeland's method.

The Gresham mayor's race has four candidates, Q, R, S, T. The votes are:

Number of voters11415181451310
1st choiceQSQTRSSR
2nd choiceRTSSQQQT
3rd choiceSRTQTTRS
4th choiceTQRRSRTQ

Lee et al., Math in Society, §5.2 Voting Methods, Exercise 13

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Adapted from Math in Society © 2018–2024 Portland Community College Math Instructors. Licensed under CC BY-SA 4.0. Source: Math in Society. Imported at revision 68ee43c.