Question

If isme estimated that there are 50 students in the seventh grade class but there are actually 40 what is isme’s percent error?

Answer 1

The percent error is 25 %

Solution:

Given that it is estimated that there are 50 students in the seventh grade class, but there are actually 40

To find: percent error

Percent error is the difference between a measured and known value, divided by the known value, multiplied by 100%

The formula for percent error is given as:

`\text{ percent error }=\frac{\text { approximate value }-\text {exact value}}{\text { exact value }} * 100$`

Here, exact value = 40 and approximate value or estimated value = 50

Substituting the values in above formula,

`\begin{aligned}&\text { percent error }=(50-40)/(40) * 100\\\\&\text { percent error }=(10)/(40) * 100=(100)/(4)=25\end{aligned}`

Thus the percent error is 25 %