Question

patty casually recorded her grade for the nine weeks in her notebook. she concluded she had 250 points out of 300 for the grading period. however, the teacher recorded pattys score as 225 out of 300. what is the percent error?

Explanation:

Step1: Find the absolute error

The formula for absolute error is \(| \text{Estimated Value}-\text{Actual Value}|\).
The estimated value is \(250\), and the actual value is \(225\).
\(|250 - 225|=25\)

Step2: Calculate the percent error

The formula for percent error is \(\frac{\text{Absolute Error}}{\text{Actual Value}}\times100\%\)
Substitute the values: \(\frac{25}{225}\times 100\%=\frac{100}{9}\%\approx11.1\%\)

Answer:

\(11.1\%\)