Question

If mean = 76 and variance = 110, coefficient of variation is
1 point

Answer 1

Coefficient of variation = 13.8%

Step-by-step explanation:

We are given that the mean = 76 and variance = 110.

And we have to find the coefficient of variation.

Firstly, Coefficient of variation formula is given by;

     Coefficient of Variation (C.V.) = $\frac{\text{Standard Deviation}}{\text{Mean}} \times 100$

In question we are provided with Mean = 76 and Variance = 110.

Now, firstly we have to find the standard deviation from the given variance.

                     Variance = $(\text{Stanadard deviation})^{2}$  

                Standard Deviation = $\sqrt{Variance}$

                                                   = $\sqrt{110}$

So,        C.V.  =  $\frac{\text{Standard Deviation}}{\text{Mean}} \times 100$

                      =  $\frac{\sqrt{110} }{76} \times 100$

                      = $\frac{\sqrt{110} }{0.76}$ = 13.8%

                                         

So, coefficient of variation of the given data is 13.8%.