To calculate the Midpoint Error (Em):
\[ E_m = \left| \frac{V_a - V_p}{\frac{V_a + V_p}{2}} \right| \times 100\% \]
Where:
Midpoint error is a type of relative error that provides a measure of the accuracy of an approximation compared to the actual value. It is particularly useful when the actual value and the approximate value are both positive and of similar magnitude. The midpoint error is expressed as a percentage, which allows for an easy comparison of the accuracy of different approximations.
Let's assume the following values:
Using the formula:
\[ E_m = \left| \frac{100 - 95}{\frac{100 + 95}{2}} \right| \times 100\% = \left| \frac{5}{97.5} \right| \times 100\% = 5.13\% \]
The Midpoint Error is 5.13%.
