Question

A political analyst predicts Mr. Smith will only get 122 votes for mayor. If Mr. Smith only gets 57 votes, what is the political analyst's percent error? Round your answer to the nearest tenth of a percent.

Answer 1

The percent error is 53.3 %

Solution:

The formula for percent error is given as:

$Percent\ Error = \frac{\text{ l Experimental value - theoretical value l }}{\text{Theoretical value}} \times 100$

From given,

A political analyst predicts Mr. Smith will only get 122 votes for mayor

Mr. Smith only gets 57 votes

Therefore,

Theoretical = 122

Experimental = 57

Thus we get,

$\text{Percent Error } = \frac{ | 57-122 | }{122} \times 100\\\\\text{Percent Error } = \frac{65}{122} \times 100\\\\\text{Percent Error } = 0.5327 \times 100\\\\\text{Percent Error } = 53.28 \approx 53.3$

Thus percent error is 53.3 %