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?

Question

asked Sep 2, 2019 132k views

1 Answer

Tamilmaran · Answer 1 · 2019-09-07T15:55:06+0000

Answer:

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.