Question

* If coefficient of variation of a distribution is 75% and standard deviation is 24, find its mean.

Answer 1

Answer:

Mean value is 32

Step-by-step explanation:

CV= (standard deviation/mean)x100

75=(24/mean)x100

mean= 2400/75

= 32

answer : Mean value is 32

Answer 2

Given:

The coefficient of variation of distribution is 75% and the standard deviation is 24.

To find:

The mean.

Solution:

As we know that coefficient of variation or C.V. of a distribution is equal to the ratio of standard deviation and the arithmetic mean. It is generally expressed as a percentage.

This means,

$C.V. = \frac{standard \: deviation}{mean} \times 100$

Now,

as given, we have,

Coefficient of a variation of a distribution = 75%

The standard deviation of a distribution = 24

So,

$75 = \frac{24}{mean} \times 100$

So,

the mean is

$= \frac{24 \times 100}{75}$

$= \frac{24 \times 4}{3}$

$= 8 \times 4$

$= 32$

Hence, the mean of the given distribution is 32.