If the coefficient of variation is $100$ and the mean of the data is $25$, then…

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If the coefficient of variation is $100$ and the mean of the data is $25$, then find the standard deviation.

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Coefficient of variation $=$ $\dfrac{\sigma}{\bar{x}}\times100$ $\Rightarrow 100 = \dfrac{\sigma}{25} \times 100$ $\Rightarrow \sigma = 25$

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