Question

If the actual value is 200 and the measured Valois 185,find the percent error.

Answer 1

Given:

$\begin{gathered} Actual-value=200 \\ Measured-value=185 \end{gathered}$

To Determine: The percentage error

Solution

The percentage error can be calculated using the formula below

$\begin{gathered} Percentage-error=\frac{Error}{Actual-value}\times100\% \\ Error=(Measured-value)-(Actaal-value) \end{gathered}$

Substitute the given into the formula

$\begin{gathered} Error=|185-200| \\ =|-15| \\ =15 \end{gathered}$$\begin{gathered} Percentage-error=\frac{15}{200}\times100\% \\ =\frac{15}{2}\% \\ =7.5\% \end{gathered}$

Hence, the percentage error is 7.5%