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Question

If each value of a set is divided by a constant 'd', the co-efficient of variation will be ________.

A
more than original value
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B
less than original value
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C
same as original value
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D
none of the above
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Solution

The correct option is C same as original value
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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