Suppose that you have the task of measuring the lengths of a river and a pipe and come up with 4,999 m and 9 m, respectively. if the true values are 5,000 m and 10 m, respectively, compute (a) the absolute true error and (b) the relative true error for each case. what conclusions can you make regarding the measurements?

(a)

(b)

Explanation:

By definition,

Absolute Error (Ae) = Actual Value - Measured Value

and Relative Error (Re) = Absolute Error / Actual Value

For the river measurement:

For the pipe measurement:

You can conclude that all measurements have the same -1m error, regardless of the length measured. This seems to be a systematic error, caused either by a calibration or zero-offset error on the tool used for measurement, or by an incorrect measurement by the personnel involved.

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