gimme the closest answer

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)
Responses

22%
22%

8.1%
8.1%

37.3%
37.3%

7.3%

1 answer

To estimate the overall percentage of power outages in the state based on the given percentages from the three counties, we can find the average of the reported percentages weighted by the number of counties, but since we don't have the specific county sizes, we can consider a simple average.

  1. Add the percentages together: \(3% + 7% + 12% = 22%\)

  2. Divide by the number of counties reporting outage percentages (3 in this case): \(\frac{22%}{3} \approx 7.33%\)

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

So the closest answer is 7.3%.