Question

3.
The coefficient of variance is 15 % and the mean of series is 40 then standard deviation is
[A] 3 [B] 37.5 [C] 4
[D] 6
​

Answer 1

Answer:

The answer is option D

Step-by-step explanation:

Tip:

• The coefficient of variation is ratio of the standard  deviation and the mean.

        $CV=\frac{Standard Deviation}{Mean}$

• Standard Deviation is the amount of the variation of the set of values from mean.

• Mean is the average of the values.

Step 1 of 1:

• Given  $CV=\frac{15}{100}$
• Mean =40

• $CV=\frac{Standard deviation }{Mean}$

       $\frac{15}{100}=\frac{Standard Deviation}{40}$

$Standard deviation=\frac{15*40}{100}$

$Standard Deviation =6$

Answer 2

Answer:

Answer = (D) 6

Step-by-step explanation:

Given

    Coefficient of Varience  = 15 %

                             Mean      =40

       Standard Deviation     =  ?

    Coefficient of Varience  = standard deviation ×   100

                                                         Mean

      Standard daviation       = Coefficient of varience × mean

                                                           Standard deviation

                                              =  15 × 40

                                                    100

                                              = 600

                                                 100

                                              = 6

     standard deviation         =  6

     Answer   = (D) 6