Julian and Brittany mailed 275 wedding invitations to family and friends, and predicted that they would all attend only 265 out of the 275 people committed to attending the wedding. Calculate the percent error in the prediction around your answer to the nearest hundred.
To calculate the percent error in the prediction, we will need to find the difference between the predicted attendance and the actual attendance, and then express that difference as a percentage of the predicted attendance.
The predicted attendance is 265, as stated in the question.
To find the difference, we subtract the actual attendance from the predicted attendance:
Difference = Predicted Attendance - Actual Attendance
Difference = 265 - 275
Difference = -10
Since the actual attendance is lower than the predicted attendance, we have a negative difference.
To find the percent error, we divide the difference by the predicted attendance, and then multiply by 100 to convert it to a percentage:
Percent Error = (Difference / Predicted Attendance) * 100
Percent Error = (-10 / 265) * 100
Calculating this:
Percent Error ≈ -3.77%
So, the percent error in the prediction is approximately -3.77%.