A small county has populations in three regions as shown below. They have apportioned 15 seats on the county council and obtained the apportionment for each region shown below. Find the relative difference in district population between the Parkview and Hillside regions. $$\begin{array} { l c c }
\text { Region } & \text { Population } & \text { Apportionment } \
\text { Parkview } & 43,000 & 6 \
\text { Hillside } & 32,800 & 5 \
\text { Riverdale } & 24,200 & 4
\end{array}$$
A) 9.25%
B) 8.47%
C) 1.85%
D) 1.41%

Question

A small county has populations in three regions as shown below. They have apportioned 15 seats on the county council and obtained the apportionment for each region shown below. Find the relative difference in district population between the Parkview and Hillside regions. $$\begin{array} { l c c } 
\text { Region } & \text { Population } & \text { Apportionment } \
\text { Parkview } & 43,000 & 6 \
\text { Hillside } & 32,800 & 5 \
\text { Riverdale } & 24,200 & 4
\end{array}$$
A) 9.25%
B) 8.47%
C) 1.85%
D) 1.41%

Quizplus · Accepted Answer

The relative difference in population between Parkview and Hillside is calculated as the absolute difference in their populations divided by the average of their populations, then multiplied by 100 to get a percentage. The calculation is as follows: $$ \frac{|43000 - 32800|}{\frac{43000 + 32800}{2}} \times 100 = \frac{10200}{37900} \times 100 \approx 26.91\% $$ However, this calculation does not match any of the provided options, indicating a misunderstanding in the approach based on the options given. Given the options and the context, it seems there was a mistake in the calculation or interpretation of the question as it was presented. The correct approach should involve understanding the method to find the relative difference correctly or possibly recalculating based on the correct interpretation of "relative difference" in this context. Without the exact formula or method intended by the question, the calculation above does not yield an answer matching the options, suggesting a need to revisit the question's requirements or the calculation method.

A Small County Has Populations in Three Regions as Shown