The Kilogram is now weighed five times on a different scale. The measurements are as follows, in units of micrograms above 1 kg: 25.6, 26.8, 26.2, 26.8, 25.4.

a. Is it possible to estimate the uncertainty in these measurements? If so, estimate it. If not, explain why not.

b. Is it possible to estimate the bias in these measurements? If so, estimate it. If not, explain why not.

Step 1 of 3:

The weight of 5 measurements in units of micrograms above 1kg is given as 25.6, 26.8, 26.2, 26.8, 25.4(micrograms).

We have to check

Is it possible to estimate the uncertainty in the measurements.Is it possible to measure the bias in this measurements.Step 2 of 3:

Yes , uncertainty can be estimated as the standard deviation of 5 measurements.Let , .., are independent measurements of 1 kg in units of micrograms above 1kg on the new scale.First we have to compute the sample mean

=

=

= (25.6 + 26.8+ 26.2+ 26.8 +25.4)

= 26.16 .

Now we have to find the uncertainty of this estimate that will the standard deviation of the sample.

Sample deviation

S =

=

= 0.65 .

So the uncertainty in the measurement is 0.65.And the estimate of mean is (26.16 .