Question

Students were measuring distances and found one to be 2.04 m. When they asked the teacher if their measurement was correct, the teacher said, “Actually, it is 2.16 m.” What is the percent error?

Answer 1

Answer:

The percentage error is 5.56%

Explanation:

Given

$Measured (M) = 2.04m$

$Actual (A)= 2.16m$

Required

Determine the percentage error

Percentage error (P) is calculated as follows:

$P = \frac{|A - M|}{A} * 100\%$

$P = \frac{|2.16 - 2.04|}{2.16} * 100\%$

$P = \frac{|0.12|}{2.16} * 100\%$

$P = \frac{0.12}{2.16} * 100\%$

$P = \frac{12\%}{2.16}$

$P = 5.56\%$

Hence:

The percentage error is 5.56%