Question

question 15
5 pts
match the following:
jefferson method choose
hamilton method choose
webster method choose
hill-huntington method choose
borda count method choose

Explanation:

To match these methods, we recall their definitions:

• Jefferson method: A divisor method for apportionment, uses a modified divisor (less than standard) and truncates (rounds down) quotients.
• Hamilton method: Also called the method of largest remainders, calculates standard quotas, assigns lower quotas, then distributes remaining seats to those with largest remainders.
• Webster method: A divisor method, rounds quotas to nearest integer (uses arithmetic mean for rounding point).
• Hill - Huntington method: A divisor method, uses the geometric mean to determine rounding (rounds a quota \( q \) to \( \lfloor q

floor \) if \( q \times \lfloor q
floor\geq (\lfloor q
floor + 0.5)^2 \), else to \( \lceil q
ceil \)).

• Borda Count method: A voting system where voters rank candidates, and points are assigned based on rank (e.g., for \( n \) candidates, a first - choice vote gets \( n \) points, second - choice \( n - 1 \), etc., and total points determine the winner).

Assuming the common matches (if the options are about their descriptions):

• Jefferson method: Divisor method, truncates quotas (uses modified divisor < standard divisor).
• Hamilton method: Method of largest remainders, assigns seats via quotas and remainders.
• Webster method: Divisor method, rounds quotas to nearest integer (arithmetic mean for rounding).
• Hill - Huntington method: Divisor method, uses geometric mean for rounding.
• Borda Count method: Voting method with point assignment based on rank.

Answer:

Jefferson method: Divisor method (truncates quotas, modified divisor < standard divisor)
Hamilton method: Method of largest remainders (assigns seats via quotas and remainders)
Webster method: Divisor method (rounds quotas to nearest integer, arithmetic mean for rounding)
Hill - Huntington method: Divisor method (uses geometric mean for rounding)
Borda Count method: Voting method (points based on rank in voter preferences)

(Note: Since the options in the dropdowns were not provided, this is a general matching based on the standard definitions of these methods. If the options had specific labels, the matching would be adjusted accordingly.)