Question

Daniel guesses that he scored a $95$ on his science test but his actual score is $91$. What is the percent error in Daniel's guess?

Answer 1

Finding the percentage error in Daniel's guess.

The actual score of Daniel is $91$.

His guessed score is $95.$

Percent error in Daniel's guess:

$\begin{array}{rcl}\mathrm{Percent}\mathrm{error}& =& \frac{\mathrm{Guessed}\mathrm{score}-\mathrm{actual}\mathrm{score}}{\mathrm{actual}\mathrm{score}}\times 100\\ & =& \frac{95-91}{91}\times 100\\ & =& \frac{4}{91}\times 100\\ & =& 4.39\%\end{array}$

Hence, the percentage error in Daniel's guess is $\mathbf{4}\mathbf{.}\mathbf{39}\mathbf{\%}$.