To determine the best city to use as a cluster for our survey, we need to find the city whose percentage of population using the social networking site is closest to the national average of 28%. Here are the percentages of the population in each city:
- Denver: 16%
- Honolulu: 9%
- Miami: 46%
- Philadelphia: 27%
To find the city whose percentage is closest to 28%, we calculate the difference between each city's percentage and the national average (28%):
1. Denver: [tex]\( |16\% - 28\%| = 12\% \)[/tex]
2. Honolulu: [tex]\( |9\% - 28\%| = 19\% \)[/tex]
3. Miami: [tex]\( |46\% - 28\%| = 18\% \)[/tex]
4. Philadelphia: [tex]\( |27\% - 28\%| = 1\% \)[/tex]
After calculating the differences, it is clear that the smallest difference is with Philadelphia. The difference is just 1%, making Philadelphia the closest match to the national average.
Thus, the city that would be considered the best cluster to use for this survey is:
D. Philadelphia
