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If the coefficient of variation (CV) of a set of data is 0.5, what can be said about the variability of the data compared to the mean?

Option: 1

 The data is highly variable compared to the mean. 


Option: 2

The data is moderately variable compared to the mean. 


Option: 3

 The data is slightly variable compared to the mean.


Option: 4

The variability of the data cannot be determined from the coefficient of variation.


Answers (1)

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The coefficient of variation (CV) is a measure of the relative variability of a dataset, and it is calculated as the standard deviation divided by the mean, multiplied by 100. If the CV is 0.5, it means that the standard deviation is 50% of the mean, which indicates that the data is highly variable compared to the mean. In general, a CV greater than 1 indicates high variability, while a CV less than 1 indicates low variability.

 

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Kuldeep Maurya

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