A polling company took before an 5 polls in the week that a mayoral 66%,56%, 55%, 60% 63% of the total votes. That candidate recieved 64 % of the total vote during the actual election. Find the percent errot in the average of the company's polling results to the nearest tenth of a percent. Show your work.

Question

Mathematics

Aliza Barber

20 September, 01:29

A polling company took before an 5 polls in the week that a mayoral 66%,56%, 55%, 60% 63% of the total votes. That candidate recieved 64 % of the total vote during the actual election. Find the percent errot in the average of the company's polling results to the nearest tenth of a percent. Show your work.

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Answers (1)

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Laylah Knapp · Answer 1

6.7%

Step-by-step explanation:

In this question, we are to calculate the percentage error in in the average polling results calculated.

Firstly, what this means is that we calculate the average of the total votes.

That would be; (66 + 56 + 55 + 60 + 63) / 5 =

300/5 = 60%

we now proceed to calculate the percentage error in the company's result.

Mathematically;

percentage error = (Actual value - expected value) / expected value * 100%

Here the actual value is 64% and the expected is 60%

% error = (64-60) / 60 * 100 = 4/60 * 100 = 6.67%

This is 6.7% to the nearest tenth of a percent