Question

akira is redecorating her bedroom. she misread the markings on her ruler and thought a picture frame she bought was 5.2 centimeters wide. the frames actual width was 4.8 centimeters. what is the percent error for her measurement? if necessary, round your answer to the nearest tenth of a percent.

Explanation:

Step1: Calculate the absolute error

Absolute error = |Measured value - Actual value| = |5.2 - 4.8| = 0.4

Step2: Calculate the percent error

Percent error formula is $\frac{\text{Absolute Error}}{\text{Actual Value}}\times100\%$.
Substitute the values: $\frac{0.4}{4.8}\times100\%=\frac{40}{4.8}\%=\frac{100}{12}\%\approx8.3\%$

Answer:

8.3%