Question

mean =150
mode=140
SD=45
FIND: coefficient of variation
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Answer 1

Coefficient of variation = 30%

Step-by-step explanation:

We are given that the mean = 150, mode = 140 and Standard deviation = 45.

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 = 150 and Standard deviation = 45.

There is no use of Mode in the formula for coefficient of variation.

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

                      =  $\frac{45 }{150} \times 100$

                      = ${0.3 } \times 100$ = 30%

                                         

So, coefficient of variation of the given data is 30%.