Question

synthesis
explain how to calculate percent
error.
use the examples if they help with
your thinking.
dakota

• orders 2 ounces of ham
• ends up with 2.3 ounces

ebony

• orders 10 ounces of turkey
• ends up with 9.5 ounces

Explanation:

Step-by-Step Format:

Step1: <Find the absolute error>

Absolute error is the absolute value of the difference between the measured value and the actual value. For Dakota: \(|2.3 - 2|= 0.3\). For Ebony: \(|9.5 - 10| = 0.5\).

Step2: <Use the percent - error formula>

The formula for percent error is \(\text{Percent Error}=\frac{\text{Absolute Error}}{\text{Actual Value}}\times100\%\).
For Dakota: \(\frac{0.3}{2}\times100\% = 15\%\).
For Ebony: \(\frac{0.5}{10}\times100\%=5\%\).

Answer:

To calculate percent error, first find the absolute error (difference between measured and actual value, then take absolute value). Then use the formula \(\text{Percent Error}=\frac{\text{Absolute Error}}{\text{Actual Value}}\times100\%\). For Dakota, percent error is \(15\%\) and for Ebony it is \(5\%\).