Question

Find the percent error in this situation:<br>
Estimated value: 56<br>
Actual value: 43

30.2%

0.232%

0.302%

23.2%

Answer 1

To calculate the percent error, you can use the following formula:

\[
\text{Percent Error} = \left( \frac{|\text{Estimated Value} - \text{Actual Value}|}{\text{Actual Value}} \right) \times 100
\]

Given:
- Estimated Value = 56
- Actual Value = 43

Now, plug in the values:

\[
\text{Percent Error} = \left( \frac{|56 - 43|}{43} \right) \times 100
\]

First, calculate the absolute difference:

\[
|56 - 43| = 13
\]

Now substitute this into the formula:

\[
\text{Percent Error} = \left( \frac{13}{43} \right) \times 100
\]

Now calculate \( \frac{13}{43} \):

\[
\frac{13}{43} \approx 0.3023
\]

Multiply by 100 to convert to a percentage:

\[
0.3023 \times 100 \approx 30.23\%
\]

So the percent error is approximately **30.2%**.

The correct answer is **30.2%**.