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Exercise 18

Avg difficulty 2.5

A state with five counties has 62 seats in their legislature. Using Hamilton's method, apportion the seats based on the 2010 census, then again using the 2010 census. Explain what happened in 2020 apportionment. Do you think it is fair?

County2000 Population2010 Population
Gray75,00083,200
Castile89,00089,000
Brown32,50032,500
Taylor153,000153,000
Floyd109,000112,000

Lee et al., Math in Society, §5.1 Apportionment, Exercise 18

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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.