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Given below are two statement s: Statement I: The standard deviation of a series of repeated measurements estimates the likely size of the chance er
Question

Given below are two statement s:
Statement I: The standard deviation of a series of repeated measurements estimates the likely size of the chance error in a single measurement.
Statement II: Bias affects all the measurements the same way, pushing them in the same direction.
In the light of the above statements, choose answer from the options given below:

A.

Both Statement I and Statement II are true

B.

Both Statement I and Statement II are false

C.

Statement I is true but Statement II is false

D.

Statement I is false but Statement II is true

Correct option is A

Statement I: The standard deviation of a series of repeated measurements indeed estimates the likely size of the chance error in a single measurement. Standard deviation measures the dispersion or spread of the measurements around the mean, which helps in understanding the extent of variability due to random errors.
Statement II: Bias affects all measurements in the same way, pushing them in the same direction. Bias is a systematic error that consistently skews all measurements in a particular direction, either higher or lower than the true value.
(a) Both Statement I and Statement II are true.

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