Find the percent error in this situation:<br>

Estimated value: 56<br>
Actual value: 43

30.2%

0.232%

0.302%

23.2%

1 answer

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%.