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Formula Review

11.3 Standard Divisors, Standard Quotas, and the Apportionment Problem

Let AA be a particular item and BB another such that there is a constant ratio of AA to BB.

  • ratio ofB's toA's=1ratio ofA's toB'sratio ofB's toA's=1ratio ofA's toB's and ratio ofA's toB's=1ratio ofB's toA'sratio ofA's toB's=1ratio ofB's toA's
  • units ofA=(units ofB)×(ratio ofA's toB's)=units ofBratio ofB's toA'sunits ofA=(units ofB)×(ratio ofA's toB's)=units ofBratio ofB's toA's
  • units ofB=(units ofA)×(ratio ofB's toA's)=units ofAratio ofA's toB'sunits ofB=(units ofA)×(ratio ofB's toA's)=units ofAratio ofA's toB's

Standard Divisor=Total PopulationHouse SizeStandard Divisor=Total PopulationHouse Size

State's Standard Quota=State PopulationStandard DivisorseatsState's Standard Quota=State PopulationStandard Divisorseats

11.5 Fairness in Apportionment Methods

population growth rate=current population size-previous population sizeprevious population sizepopulation growth rate=current population size-previous population sizeprevious population size

New House Size=New PopulationOriginal Standard Divisorrounded to the nearest whole number.New House Size=New PopulationOriginal Standard Divisorrounded to the nearest whole number.

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