Question

a student estimated a mass to be 325g, but upon carefully measuring it, found the actual mass to be 342g. what is the percent error?

Explanation:

Step1: Calculate the absolute error

The formula for absolute error is \(| \text{Estimated Value}-\text{Actual Value} |\).
Here, the estimated value \(E = 325\)g and the actual value \(A=342\)g.
\(|E - A|=|325 - 342|= 17\)g.

Step2: Calculate the percent error

The formula for percent error is \(\frac{|E - A|}{A}\times100\%\).
Substitute \(|E - A| = 17\)g and \(A = 342\)g into the formula:
\(\frac{17}{342}\times100\% \approx 4.97\%\approx5\%\) (rounded to one - decimal place).

Answer:

5%