A country has four states with the populations shown below. The House of Representatives is to have 15 members. Use the Hill-Huntington method of apportionment to find the number of seats for each state. $$\begin{array} { c c }
\text { State } & \text { Population } \
\text { A } & 52,600 \
\text { B } & 39,900 \
\text { C } & 34,000 \
\text { D } & 23,500
\end{array}$$
A) 5, 4, 4, 2
B) 6, 4, 3, 2
C) 5, 4, 3, 3
D) 6, 3, 3, 3

Question

A country has four states with the populations shown below. The House of Representatives is to have 15 members. Use the Hill-Huntington method of apportionment to find the number of seats for each state. $$\begin{array} { c c } 
\text { State } & \text { Population } \
\text { A } & 52,600 \
\text { B } & 39,900 \
\text { C } & 34,000 \
\text { D } & 23,500
\end{array}$$
A) 5, 4, 4, 2
B) 6, 4, 3, 2
C) 5, 4, 3, 3
D) 6, 3, 3, 3

Quizplus · Accepted Answer

The Huntington-Hill method of apportionment involves calculating the standard divisor (total population divided by the number of seats), then calculating the initial quota for each state (state population divided by the standard divisor). The method uses the geometric mean of the lower and upper quotas to decide if a state's initial quota should be rounded up or down. In this case, the total population is 150,000, and with 15 seats, the standard divisor is 10,000. Initial quotas are A: 5.26, B: 3.99, C: 3.4, and D: 2.35. After applying the Huntington-Hill method to decide on rounding, the final apportionment is 5 seats for A, 4 for B, 4 for C, and 2 for D, considering the specific rounding rules and ensuring the total number of seats is 15.

A Country Has Four States with the Populations Shown Below