Questions: The standard length of a football field is 4,320 inches long. You measure your local football field and it measures at 4,225 inches. What is the percent error?
% Error = (accepted -average / accepted) x 100
Transcript text: The standard length of a football field 4,320 inches long. You measure your local football field and it measures at 4,225 inches. What is the percent error?
\[
\% \text { Error }=\frac{\text { laccepted -averagel }}{\text { accepted }} \times 100
\]
Solution
Solution Steps
Step 1: Identify the Accepted and Measured Values
The accepted length of the football field is 4,320 inches, and the measured length is 4,225 inches.
Step 2: Calculate the Absolute Difference
Calculate the absolute difference between the accepted and measured values:
∣accepted−measured∣=∣4320−4225∣=95
Step 3: Calculate the Percent Error
Use the percent error formula:
% Error=accepted∣accepted−measured∣×100
Substitute the values:
% Error=432095×100≈2.1991
Final Answer
The percent error is approximately 2.2 percent error.