Question

 If the coefficient of variation of certain data is 5 and mean is 60 . find the standard deviation .​

Answer 1

300

Step-by-step explanation:

$\frac{\textrm{standard deviation}}{mean}$

= Co-efficient of variation

Let, the standard deviation be s.

Using this formula, we get

$5 = \frac{s}{60}$

or, s = 5 x 60 = 300

So, the standard deviation is 300.

Answer 2

Given:

We have  coefficient of variation of certain data is 5 and mean is 60.

To Find:

We have to find the standard deviation ?

Step-by-step explanation:

       Cofficient of variation definition:

• The coefficient of variation (CV) is that the ratio of the quality deviation to the mean. the upper the coefficient of variation, the greater the amount of dispersion round the mean. it's generally expressed as a percentage.

•  We know cofficient of variation is given by the formula

        $\textrm{Coefficient of variation}=\frac{\textrrm{Standard deviation}}{Mean} \times100$

• Let the standard devation of given data be x.
• We have mean of the data is 60 and coffeicient of variation is 5 By putting all these values in the above equation we get

       $5=\frac{x}{60} \times100$

• On simplifying above equation we get
• $x=\frac{5\times60}{100} \\x=3$

Hence, standard deviation is 3.