To calculate the percent error, you can use the formula:
\[ \text{Percent Error} = \left( \frac{|\text{Estimated Value} - \text{Actual Value}|}{\text{Estimated Value}} \right) \times 100 \]
In this case, the estimated value is 40 students and the actual value is 32 students.
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Calculate the absolute error: \[ |\text{Estimated Value} - \text{Actual Value}| = |40 - 32| = 8 \]
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Now, use the percent error formula: \[ \text{Percent Error} = \left( \frac{8}{40} \right) \times 100 = 0.2 \times 100 = 20% \]
Since 20% is not among your provided answer choices, let's recheck those options. None of them are correct based on the calculation we just did.
If we consider the interpretable options based on the percent error:
- 25%
- 8%
- 80%
- 1.25%
All these options are significantly off from the calculated 20%, which indicates that there might be some misunderstanding or miscalculation regarding the expected answer options.
Thus, the percent error is actually 20% when calculated accurately. If you have the option to directly resolve this with the context you provided, use 20% as your calculated answer.