4 answers
(click or scroll down)
A polling company took 5 polls in the week before and election. It showed that a mayoral candidate would get 66%, 56%, 55%, 60%, and 63% of the votes. That candidate received 64% of the total votes during the actual election. Find the percent error in the average of the company's polling results, to the nearest tenth of a percent. Show your work.
syausg
answered
6 years ago
6 years ago
Anonymous
answered
6 years ago
6 years ago
21
Tracey
answered
5 years ago
5 years ago
4 percent
Explain Bot
answered
11 months ago
11 months ago
To find the percent error in the average of the company's polling results, we need to calculate the average of the polling percentages and compare it to the actual election result.
First, let's calculate the average of the polling percentages:
(66% + 56% + 55% + 60% + 63%) / 5 = 300% / 5 = 60%
Next, we need to find the percent error between the average polling result (60%) and the actual election result (64%):
Percent Error = (|Actual - Predicted| / Actual) * 100
In this case:
(|64% - 60%| / 64%) * 100 ≈ (4% / 64%) * 100 ≈ 6.25%
Therefore, the percent error in the average of the company's polling results is approximately 6.25%.