To calculate the percent error, we need to use the formula for percent error:
\[ \text{Percent Error} = \left| \frac{\text{Actual Value} - \text{Predicted Value}}{\text{Actual Value}} \right| \times 100 \]
In this case:
- Actual Value (total invitations) = 275
- Predicted Value (number of people committing to attend) = 265
Now, substituting the values:
\[ \text{Percent Error} = \left| \frac{275 - 265}{275} \right| \times 100 \]
Calculating the difference:
\[ 275 - 265 = 10 \]
So,
\[ \text{Percent Error} = \left| \frac{10}{275} \right| \times 100 \]
Next, we calculate \( \frac{10}{275} \):
\[ \frac{10}{275} \approx 0.03636 \]
Now, multiplying by 100 to get the percentage:
\[ 0.03636 \times 100 \approx 3.636 \]
So, rounding to the nearest hundredth gives us:
\[ \text{Percent Error} \approx 3.64% \]
Rounding that to the nearest hundred percent results in:
4%
Based on the options given, if the option is listed as \(-4.00%\), the answer aligning to that would be \(-4.00%\). Thus, the correct interpretation of this would be:
The percent error is approximately 4.00%.
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