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Question

Which of the following are dimensionless

A
S.D.
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B
M.D.
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C
variance
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D
coefficient of variation
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Solution

The correct option is D coefficient of variation

The coefficient of variation (CV) is defined as the ratio of the standard deviation to the mean :

CV = S.D/Mean

It shows the extent of variability in relation to the mean of the population.

The coefficient of variation is useful because the standard deviation of data must always be understood in the context of the mean of the data. In contrast, the actual value of the CV is independent of the unit in which the measurement has been taken, so it is a dimensionless number.


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