The length of an object is measured three times using a meter stick with smallest graduation of 0.1 cm on the stick. The measurements are 6.15 cm, 6.15 cm and 6.15 cm. The measurement error is:
Question
The length of an object is measured three times using a meter stick with smallest graduation of 0.1 cm on the stick. The measurements are 6.15 cm, 6.15 cm and 6.15 cm. The measurement error is:
Solution
The measurement error in this case can be calculated using the formula for the absolute error, which is the maximum possible error in the measurement.
Given that the smallest graduation of the meter stick is 0.1 cm, this is the absolute error in each individual measurement.
Absolute error = ± smallest graduation/2 Absolute error = ± 0.1 cm/2 Absolute error = ± 0.05 cm
So, the measurement error in this case is ± 0.05 cm.
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