Question

amina's math class had 24 students yesterday. she miscounted the class total and recorded it as 20 students.what Is amina's percent error.

Answer 1

Amina's Percent error is 16.67%

Here, we are interested in calculating the percentage error

Mathematically, we use the formula below to calculate the percentage error

$\begin{gathered} \text{percentage error = }\frac{error}{\text{true value}}\text{ }\times\text{ 100 percent} \\ \\ \text{Where error = }|Approximated\text{ value - true value|} \\ \\ \text{Approx. value = 20} \\ \operatorname{Re}al\text{ value = 24} \\ \\ \text{error = |20-24| = |-4| = 4} \\ \\ \text{percentage error = }\frac{4}{24}\text{ }\times\text{ 100 = }\frac{100}{6}\text{ = 16.67 percent} \end{gathered}$