The mean of a distribution is 4. If its coeff | vedclass

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(C) We know that for a distribution with mean $\overline{x}$ and standard deviation $\sigma$,the coefficient of variation is given by:$	ext{Coefficie

Vedclass · Accepted Answer

$2.32$

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(C) We know that for a distribution with mean $\overline{x}$ and standard deviation $\sigma$,the coefficient of variation is given by:$	ext{Coefficient of Variation} = \frac{\sigma}{\overline{x}} 	imes 100$Given that $\overline{x} = 4$ and $	ext{Coefficient of Variation} = 58\%$,we have:$\frac{\sigma}{4} 	imes 100 = 58$$\sigma = \frac{58 	imes 4}{100}$$\sigma = \frac{232}{100} = 2.32$Thus,the standard deviation is $2.32$.

The mean of a distribution is $4$. If its coefficient of variation is $58\%$,what is the standard deviation of the distribution?

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