You attempt to determine the validity of a bathroom scale by

You attempt to determine the validity of a bathroom scale by repeatedly placing 20 lb of accurate weights on it. Ten readings were obtained with values of 20.2, 20.2, 20.6.20.0, 20.4, 20.2, 20.0, 20.6, 20.0, and 20.2 lb. Estimate the systematic error and the maximum random error of the measurements.

Solution

Ans:

The systematic error is the mean value minus the true value which is 20.24lb - 20.0lb ( assume you know how to determine the mean), systermatic error is called bias

To find the maximum random error, the mean is subtracted from each value and the list of results is inspected for the largest absolute value. in this case 20.6lb is 0.4lb greater than the mean and all other deviations are smaller, so 0.4 is the maximum random error.