Question

The relation between relative error $R_E$ and percentage error $P_E$ is

• A. $P_E=R_E\times 100\%$
• B. $R_E=P_E\times 100\%$
• C. None of the above
• D. $R_E=P_E$

Answer 1

The correct option is A $P_E=R_E\times 100\%$

The relative error is the ratio of the mean absolute error $\left(|\Delta a_{mean}|\right)$ to the mean value $\left(a_{mean}\right)$ of the quantity measured.

$\therefore R_E=\frac{|\Delta a_{mean}|}{a_{mean}}$


And, when the relative error is expressed in percentage, it is called the percentage error.

$\therefore P_E=\frac{|\Delta a_{mean}|}{a_{mean}}\times 100\%$

Hence, option $\left(\text{C}\right)$ is correct.