A state has 178 counties and has a sporadic power outage throughout the state. They have reports of 3%, 7%, and 12% power outage percentages coming from three different counties. Which is the best estimate of the percentage of the state that has a power outage?(1 point)

Question

Responses

7.3%
7.3%

22%
22%

8.1%
8.1%

37.3%

Answer 1

To estimate the overall percentage of the state that has a power outage based on the given percentages from three counties, we can calculate the weighted average of the reported percentages, taking into account the number of counties in each report.

However, since we do not have the exact number of counties contributing to each percentage, we can make a simple assumption that each county's report is equally representative. Given that there are three percentages reported:

1. 3% power outage
2. 7% power outage
3. 12% power outage

To find the average, we can add the percentages together and divide by the number of reported counties:

\[ \text{Average} = \frac{3% + 7% + 12%}{3} = \frac{22%}{3} \approx 7.33% \]

Rounding this to one decimal place, we get approximately 7.3%.

Therefore, the best estimate of the percentage of the state that has a power outage is 7.3%.