Absolute error:
a. For a given set of measurements of a quantity, the magnitude of the difference between mean value (Most probable value) and each individual value is called absolute error (∆a) in the measurement of that quantity.
b. absolute error = |mean value – measured value|
Mean absolute error:
For a given set of measurements of a same quantity the arithmetic mean of all the absolute errors is called mean absolute error in the measurement of that physical quantity.
Relative error:
The ratio of the mean absolute error in the measurement of a physical quantity to its arithmetic mean value is called relative error. Relative error \(=\frac{Δa_{mean}}{a_{mean}}\)
Percentage error:
The relative error represented by percentage (i.e., multiplied by 100) is called the percentage error.
Percentage error \(=\frac{Δa_{mean}}{a_{mean}} \times 100\%\)
[Note: Considering conceptual conventions question is modified to define percentage error and not mean percentage error.]
