Coefficient of Variation, Variance, and Means in Statistics - CFA Level 1 Exam Preparation

Coefficient of Variation Formula Explained - CFA Level 1 Exam Prep

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The coefficient of variation of a distribution X is twice that of Y. If X and Y have the same means, the variance of Y is:

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The coefficient of variation equals the standard deviation divided by mean. Since X and Y have the same mean, X must have a standard deviation which is twice that of Y for its coefficient of variation to be twice that of Y. Then, the variance of X is 2^2 = 4 times that of Y.