Question

Martha estimated there were 85 marbles in a jar for a contest. The actual number of marbles in the jar was 107. What was the percent error of Martha's estimation?

Answer 1

21%.

Explanation:

We have been given that Martha estimated there were 85 marbles in a jar for a contest. The actual number of marbles in the jar was 107.

We will use percentage error formula to answer our problem.

`\text{Error percentage}=\frac{|\text{Approx-Exact}|}{\text{Exact}} * 100`

Let us substitute our given values in above formula.

`\text{Error percentage}=(|85-107|)/(107)} * 100`

`\text{Error percentage}=(22)/(107)} * 100`

`\text{Error percentage}=0.205607476635514 * 100`

`\text{Error percentage}=20.5607476635514\approx 21`

Therefore, the percent error of Martha's estimation is 21% to the nearest percent.