Huntington-Hill Apportionment Method

This method is similar to the Webster Method, but uses geometric mean instead

This is the method that the United States has used for Congressional Apportionment since 1942.

The Proccess:

  1. Find the standard divisor (S) by dividing total population/total seats

  2. Determine each states quota (Q) by dividing the state's population/standard divisor

  3. Use Geometric Mean rounding scheme to find each state's Huntington-Hill allocation.

Geometric Mean when applied in rounding -- When the quota is above the Geometric Mean of the two numbers, round to the next highest integer. When the decimal point is below the Geometric Mean of the two numbers, round down to the lower integer.

4. Find the total number of seats that the intial Huntington-Hill Method produces, If it's the inteded amount, great! You're done.

5. If not, the denominator (in the intital calculation, s) needs to be adjusted using a random value (d). If the total number of seats is too low, you need to decrease the denominator (d should be positive). If the total number of seats is too high, you need to increase the denominator (d should be positive).

6. Using trial and error, find a correct value of d, such that the total number of seats is correct. And then you've got your apportionment!

An Example:

A country has a population of 11,882 with 20 seats in Congress.

s = Population/Seats = 594.1

More Questions? This Video is Super Helpful

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