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Relative error as a percent rounded to the nearest tenth of a percent

Relative error as a percent rounded to the nearest tenth of a percent-example-1
Relative error as a percent rounded to the nearest tenth of a percent-example-1
Relative error as a percent rounded to the nearest tenth of a percent-example-2

1 Answer

7 votes

Answer:

Step-by-step explanation:

Given:

Expected value of the measurement = 15.75 cm

Actual value of the measurement = 15.71 cm

To find:

The relative error

Relative error formula is given as:


Relative\text{ error = \mid}\frac{Actual\text{ - expected}}{expected}|\text{ }*100\text{ \%}
\begin{gathered} Relative\text{ error = \mid}\frac{15.71\text{ - 15.75}}{15.75}|*100\text{ \%} \\ \\ Relative\text{ error = \mid}(-0.04)/(15.75)|\text{ }*100\text{ \%} \\ \\ Relative\text{ error = \mid-0.00254\mid }*\text{ 100\%} \end{gathered}
\begin{gathered} Absolute\text{ value of a negative number gives a positive number} \\ \\ Relative\text{ error = 0.00254 }*100\text{ = 0.254} \\ \\ Relative\text{ error = 0.3 \%} \end{gathered}

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