The relative error made by David to the nearest thousandth is 23.
First,
Find the Absolute Error as follows:
= Measure found by David - Actual measure
= 1.54 - 2
= - 0.46
The minus sign here indicates that the measure found by David is lesser than the actual measure of the line.
To find the Relative Error as follows:
= [ ( Absolute Error ) / ( True Value) ] X 100
= [ 0.46 / 2 ] X 100
= 0.23 X 100
= 23
The relative error is defined as the ratio of the absolute error of the measurement to the actual measurement. Using this method we can determine the magnitude of the absolute error in terms of the actual size of the measurement.
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