Julian and Brittany mailed 275 wedding invitations to a family and friends and predicted that they will all attend only 265 out of 275 people attended the wedding. Calculate the percentage air in their prediction round your answer to the nearest hundredth place

Answer 1

To calculate the percentage error in Julian and Brittany's prediction, we can use the following formula for percentage error:

\[ \text{Percentage Error} = \left( \frac{|\text{Predicted} - \text{Actual}|}{\text{Actual}} \right) \times 100 \]

In this case:

• Predicted number of attendees = 275
• Actual number of attendees = 265

Now, plug the values into the formula:

1. Calculate the absolute error: \[ |\text{Predicted} - \text{Actual}| = |275 - 265| = 10 \]

2. Substitute into the percentage error formula: \[ \text{Percentage Error} = \left( \frac{10}{265} \right) \times 100 \]

3. Calculate the fraction: \[ \frac{10}{265} \approx 0.0377358491 \]

4. Multiply by 100 to convert to a percentage: \[ 0.0377358491 \times 100 \approx 3.77358491 \]

5. Round to the nearest hundredth: \[ \text{Percentage Error} \approx 3.77% \]

Therefore, the percentage error in their prediction is approximately 3.77%.