Question

Yolanda estimated the height of her office building to be 12 m. The actual height of her office building was 13.4 m.Find the absolute error and the percent error of Yolanda's estimate. If necessary, round your answers to the nearest tenth.

Answer 1

Given:

The actual height of office building is 13.4 m.

The estimated height of office building is 12 m.

Explanation:

The formula for the absolute error is,

$\text{Absolute error =|Actual value- measured value|}$

Substitute the values in the formula to determine the absolute error.

$\begin{gathered} \text{ Absolute error=|}13.4-12| \\ =1.4\text{ m} \end{gathered}$

The formula for the percent error is,

$\text{Percent error=Absolute error/Actual value }\times100$

Substitute the values in the formula to determine the percent error.

$\begin{gathered} \text{Percent error=}\frac{1.4}{13.4}\times100 \\ =10.447 \\ \approx10.4 \end{gathered}$

So answer is,

Absolute error : 1.4 m

Percent error: 10.4%