Chapter 6.4, Problem 6GP

To determine

To find: Percent error.

Answer to Problem 6GP

Percent error is $133.3\%$

Explanation of Solution

Given information:

Estimated amount of rain $=5.6$ inches

Actual amount of rain $=2.4$ inches.

Percent error $=\frac{A}{O}\times 100$

Where

  $A=$ Absolute value.

  $O=$ Actual value.

From given information

Estimated amount of rain $=5.6$ inches

Actual amount of rain $=2.4$ inches.

Absolute value =Estimated value $-$ Actual value.

  $\begin{array}{l}\Rightarrow A=5.6-2.4\\ \Rightarrow A=3.2\end{array}$

Therefore,

Percent error $=\frac{3.2}{2.4}\times 100$

  $\Rightarrow$ Percent error $=\frac{320}{2.4}$

  $\Rightarrow$ Percent error $=133.3$

So, Percent error is $133.3\%$ .