Back to 11.5 Fairness in Apportionment Methods

11.5 Exercise 1

Avg difficulty 2.5

The 1880 census recorded the population of Alabama as 1,513,401 and that of the U.S. as 62,979,766.

  1. Calculate the standard divisor and standard quota for the State of Alabama based on a house size of 299.
  2. Calculate the standard divisor and standard quota for the State of Alabama based on a house size of 300.
  3. Did the standard quota increase or decrease when the house size increased?
  4. Consider the Hamilton method of apportionment. Explain how Alabama’s final quota could be smaller with a larger standard quota.

OpenStax Contemporary Mathematics, 11.5 Fairness in Apportionment Methods, exercise 1

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