Question

C.V. = 60% and Variance = 36, then the Mean is

(A) 8 (B) 10 (C) 12 (D) 14.​

Answer 1

Answer:

c.v. = 60% and variance = 36 , then the mean is

Step-by-step explanation:

12×3 = 36

correct answer =12

Answer 2

The mean will be 10 (option B).

Given,

C.V. = 60%

Variance = 36

To find,

The value of the mean.

Solution,

The value of the mean will be 10.

We can easily solve this problem by following the given steps.

According to the question,

Coefficient of variation (C.V.) = 60%

Variance = 36

We know that the variance is equal to the square of the standard deviation.

Variance = (Standard deviation)²

Then,

Standard deviation = √Variance

Standard deviation = √36

Standard deviation = 6

Now, we know that the following formula is used to find the Coefficient of Variation.

C.V. = (Standard deviation/Mean)×100

Or it can be re-written as follows:

Mean = (Standard deviation×100)/C.V.

Mean = (6×100)/60

Mean = 10

Hence, the mean is 10.