A country has four states with the populations shown below. The House of Representatives is to have 15 members, apportioned by the Hill-Huntington method. Find the tentative apportionment for district C. $$\begin{array} { c c }
\text { State } & \text { Population } \
\text { A } & 52,600 \
\text { B } & 39,900 \
\text { C } & 34,000 \
\text { D } & 23,500
\end{array}$$

Question

A country has four states with the populations shown below. The House of Representatives is to have 15 members, apportioned by the Hill-Huntington method. Find the tentative apportionment for district C. $$\begin{array} { c c } 
\text { State } & \text { Population } \
\text { A } & 52,600 \
\text { B } & 39,900 \
\text { C } & 34,000 \
\text { D } & 23,500
\end{array}$$

Quizplus · Accepted Answer

The Hill-Huntington method of apportionment involves calculating the geometric mean of the seats a state would have before and after receiving an additional seat. To find the tentative apportionment for district C, we first need to calculate the total population and the standard divisor (total population divided by the total number of seats). Total population = 52,600 + 39,900 + 34,000 + 23,500 = 150,000Standard divisor = Total population / Total seats = 150,000 / 15 = 10,000Next, we calculate the standard quota for each state by dividing the state's population by the standard divisor.Quota for C = 34,000 / 10,000 = 3.4Since the Hill-Huntington method rounds quotas to the nearest whole number based on the geometric mean, and since the initial allocation is based on the standard quota, district C would initially be allocated 3 seats because the method involves rounding to the nearest whole number after considering all states' quotas and ensuring the total number of seats is distributed as per the method's rules.

A Country Has Four States with the Populations Shown Below