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=(Error)/(Actual-value)*100\% \\ 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=(15)/(200)*100\% \\ =(15)/(2)\% \\ =7.5\% \end{gathered}`

Hence, the percentage error is 7.5%