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Grades 6–8 · Societies

How can the same votes give different rule outcomes?

A candidate can receive more votes than any rival without receiving more than half of all votes. That is why a plurality rule and a majority rule can give different conclusions from the same count. The illustrated plurality rule requires a unique largest tally; a majority requires strictly more than half of the valid votes.

C07 visual explanationFictional one-seat election: A 4, B 3, C 2 in a 9-mark tally. Rule: unique most votes. Candidate A meets the displayed rule. A plurality need not be a majority.Nine fictional one-choice ballotsA4 votesB3 votesC2 votesRule: unique most votesA meets this rule

In the diagramNine fictional one-choice ballotsA4 votesB3 votesC2 votesRule: unique most votesA meets this rule

A’s four votes are more than either rival’s tally, giving A a plurality. Four is not a majority of the nine votes.

In the fictional one-seat election, A receives four votes, B three and C two. There are nine valid one-choice ballots. A has more than either rival and therefore meets the displayed plurality rule.

A majority requires at least five of those nine votes. A's four fall short, so none of the candidates has a majority. The votes have not changed: the condition applied to them has. Reporting only that A has the most votes would leave out this important distinction.

Reliable counting and the chosen rule both matter. Applying a rule correctly cannot repair an unreliable tally. A tied or insufficient tally also needs a stated further procedure rather than an invented winner. This example supplies no runoff or tiebreak; its purpose is to show how a count acquires meaning through a declared decision rule.

About this explanation

Starting knowledge: Compare vote totals and identify more than half.

Sources

  • National Institute of Standards and Technology — Election glossary: plurality and majority voting
  • U.S. Election Assistance Commission — Glossaries of election terminology
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