Question

What is absolute error, mean absolute error and relative error?

Answer 1

Absolute error - The difference between true value (usually mean value) and measured value is called an absolute error.
Mean absolute error - (only magnitude of $\Delta a$
$a=a_{mean}\pm \Delta a_{mean}⟹$ a lies between $a_m-\Delta a_{mean}$ to $a_m+\Delta a_{mean}$
$\Delta a_{mean}=\frac{|\Delta a_1|+|\Delta a_2|+........|\Delta a_n|}{n}$
Relative error $=\frac{\Delta a_{mean}}{a_{mean}}$
Relative $\%=\pm \frac{\Delta a_{mean}}{a_{mean}}\times 100=fractionalerror\times 100$