Question

fourteen legislative seats are being apportioned among 3 states resulting in the standard quotas and geometric means shown in the following table. using the huntington - hill method, what is the apportionment?

	state 1	state 2	state 3
geom. mean	2.45	6.48	4.47

a 2,7,4
b 2,7,5
c 2,6,5
d 3,7,4

Explanation:

Step1: Recall Huntington - Hill method

The Huntington - Hill method uses the geometric mean. We compare the standard quota and the geometric mean. If the standard quota is greater than the geometric mean, we round up; if it is less, we round down.
For State 1: Standard quota = 2.67, Geometric mean = 2.45. Since 2.67>2.45, the apportionment for State 1 is 3.
For State 2: Standard quota = 6.92, Geometric mean = 6.48. Since 6.92>6.48, the apportionment for State 2 is 7.
For State 3: Standard quota = 4.17, Geometric mean = 4.47. Since 4.17<4.47, the apportionment for State 3 is 4.

Answer:

D. 3, 7, 4