To calculate the percentage difference between the number of invitations sent and the number of predicted attendees, we can use the following formula:
\[ \text{Percentage Error} = \left( \frac{\text{Actual Value} - \text{Predicted Value}}{\text{Actual Value}} \right) \times 100 \]
In this case:
- Actual Value (invitations) = 275
- Predicted Value (expected attendees) = 265
Now we can substitute these values into the formula:
\[ \text{Percentage Error} = \left( \frac{275 - 265}{275} \right) \times 100 \]
Calculating this gives:
\[ \text{Percentage Error} = \left( \frac{10}{275} \right) \times 100 \approx 3.64% \]
Thus, rounding to the nearest hundredth of a percent, the prediction error is approximately 3.64%.