The mean and standard deviation of 2 datasets are as follows:A : Mean is 40 and standard deviation 8B: Mean is 30 and standard deviation 6Arrive at the coefficient of variability of the datasets and choose the dataset with highest variabilityGroup of answer choicesDataset ACannot be determinedDataset BBoth have same coefficient of variation
Question
The mean and standard deviation of 2 datasets are as follows:A : Mean is 40 and standard deviation 8B: Mean is 30 and standard deviation 6Arrive at the coefficient of variability of the datasets and choose the dataset with highest variabilityGroup of answer choicesDataset ACannot be determinedDataset BBoth have same coefficient of variation
Solution
The coefficient of variation (CV) is a measure of relative variability. It is the ratio of the standard deviation to the mean and is often expressed as a percentage.
For Dataset A: Mean (µA) = 40 Standard Deviation (σA) = 8 Coefficient of Variation (CVA) = (σA/µA) * 100 = (8/40) * 100 = 20%
For Dataset B: Mean (µB) = 30 Standard Deviation (σB) = 6 Coefficient of Variation (CVB) = (σB/µB) * 100 = (6/30) * 100 = 20%
So, both Dataset A and Dataset B have the same coefficient of variation.
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