Question

a student identified the volume of a solution to be 13 milliliters. the true volume was 12.5 milliliters. what is the percent error of the measurement? use the following definition. the percent error of a measurement tells how close the measurement is to the actual value. to find the percent error, first find the absolute value of the difference. then express the difference as a percent of the actual value. enter the correct answer in the box. show hints %

Explanation:

Step1: Calculate the absolute difference

The formula for absolute difference is \(| \text{Estimated Value}-\text{True Value}|\).
Here, the estimated value \(E = 13\) milliliters and the true value \(T=12.5\) milliliters.
The absolute difference \(d=|13 - 12.5|= 0.5\)

Step2: Calculate the percent error

The formula for percent error is \(\text{Percent Error}=\frac{\text{Absolute Difference}}{\text{True Value}}\times100\%\)
Substitute \(d = 0.5\) and \(T = 12.5\) into the formula:
\(\text{Percent Error}=\frac{0.5}{12.5}\times100\%=\frac{50}{12.5}\% = 4\%\)

Answer:

\(4\)