Which measurement, in seconds, shows the most bias?
4.9 ± 0.1 s 4.92 ± 0.01 s 5.01 ± 0.05 s5.0 ± 0.5 s

The most bias measurement is 5.0 ± 0.5 s

Explanation:

Consider the provided measurements in seconds.

We need to find most bias measurement.

The measurement of Bias is the systematic error that, by a certain quantity, makes all measurements incorrect.

If the number behind the symbol ± gets smaller, the bias gets smaller.

Now consider the provided measurements.

In 4.92 ± 0.01s the systematic error is 0.01, thus the range of the number can be:

4.92-0.01 to 4.92+0.01

4.91s to 4.93s

The difference between the measure is 0.02

In 5.01 ± 0.05s the systematic error is 0.05 which is slightly greater than 0.01, thus the range of the number can be:

5.01-0.05 to 5.01+0.05

4.96s to 5.06s

The difference between the measure is 0.1

In 4.9 ± 0.1s the systematic error is 0.1 which is greater than 0.01 and 0.05

Thus the range of the number can be:

4.9-0.1 to 4.9+0.1

4.8s to 5.0s

The difference between the measure is 0.2

In 5.0 ± 0.5s the systematic error is 0.5 which is greater than 0.01, 0.05

and 0.1, thus the range of the number can be:

5.0-0.5 to 5.0+0.5

4.5s to 5.5s

The difference between to measure is 1. The measurements is less accurate and indicates a large span.

Thus, the most bias measurement is 5.0 ± 0.5 s

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