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Question

If each value of a series is multiplied by a constant, the coefficient of variation as compared to original value is _______.

A
increased
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B
unaltered
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C
decreased
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D
zero
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Solution

The correct option is B unaltered
Variance is the mean of the squares of the deviations from the mean. Variance is not affected by the addition, subtraction, multiplication and division of the given value. Therefore, if each value of the series is multiplied by 15, the coefficient of variation will be unaltered.

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