DOING AN APPORTIONMENT PROBLEM

STEP 1: STANDARD DIVISOR

SD = Total Pop / # of seats

STEP 2: STANDARD QUOTAS (for each state)

SQ = State Pop / SD

STEP 3: ROUNDED QUOTAS (for each state)

Use the appropriate Rounding Rule to get the Rounded Quotas from the Standard Quotas:

  • For HM, the Rounding Rule is to always round DOWN to Lower Quotas.
  • For JM, the Rounding Rule is to always round DOWN to Lower Quotas.
  • For AM, the Rounding Rule is to always round UP to Upper Quotas.
  • For WM, the Rounding Rule is to round UP if the computed Quota is greater than or equal to the arithmetic mean, and round DOWN if not.
  • For HHM, the rounding rule is to round UP if the computed Quota is greater than or equal to the geometric mean, and round DOWN if not.

STEP 4: FINAL APPORTIONMENT (for each state)

  • For HM: If Lower Quotas do not apportion enough seats, add the proper number of seats by giving an additional seat to those states whose Divisors have the largest fractional parts.
  • All other methods: If Rounded Quotas do not apportion enough seats, modify the divisor and use this Modified Divisor to compute Modified Quotas and then go back to STEP 3 using these Modified Quotas instead of the Standard Quotas.

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