Question

After taking a 70 point test, a student guesses that he got 65 points correct. Later he finds out he got 67 points

correct. Calculate the percent error of his guess to 3sf.

Answer 1

Percent error = 4.29%

Explanation:

Percent error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.

Mathematically, it is given by this expression;

`Percent \; error = \frac {experimental \;value - theoretical \; value}{ theoretical \;value} *100`

Given the following data;

Experimental value = 67

Theoretical value = 70

Substituting into the equation, we have;

`Percent \; error = \frac {67 - 70 }{ 70} *100`

`Percent \; error = \frac {3}{70} *100`

`Percent \; error = 0.04286 *100`

Percent error = 4.29%