Question

Find the absolute, relative and percentage errors when true value is 0.50 and its calculated value was 0.49.

Answer 1

Absolute:
$$
\left | .49-.50\right |$$
Relative:
$$.49-.50$$
Percentage
$$
\cfrac{.49-.50}{.50}\times 100
$$
Make sense?

Answer 2

So the absolute error is 0.01, the relative error is -0.01, and the percentage error is -1%?

Answer 3

check your calculation for the last one

Answer 4

Is it really -2%?

Answer 5

yes

Answer 6

But for other problems, if I got 0.0005 as the relative error, then people say that the percentage error should be 0.05%.

Answer 7

So using this as a definition of relative and percentage error: http://en.wikipedia.org/wiki/Relative_error, you would be correct.

Relative Error:
$$
\left |\cfrac{.49-.50}{.50}\right |
$$
Percentage Error=Relative Error \(\times 100\)