The apportionment methods that use a modified quota of some form (lower, rounded, upper) include:
1. Hamilton's method:
- Hamilton's method adjusts the quota for each state to a lower integer before allocating seats. This modification helps in distributing seats more evenly among the states based on their populations.
2. Webster's method:
- Webster's method involves rounding the quotas to the nearest whole number. This modification ensures that every state receives a whole number of seats, which can impact the distribution of seats compared to unrounded quotas.
Therefore, both Hamilton's method and Webster's method utilize a modified quota in the apportionment process.
