Question

The mean of a data is 25.6 and its coefficient of variation is 18.75. Find the standard
deviation.
​

Answer 1

Answer:

The formula for the coefficient of variation is: Coefficient of Variation = (Standard Deviation / Mean) * 100. ) * 100. Multiplying the coefficient by 100 is an optional step to get a percentage, as opposed to a decimal.

Answer 2

The standard deviation is 4.8.

Step-by-step explanation:

Given : The mean of a data is 25.6 and its coefficient of variation is 18.75.

To find : The standard  deviation ?

Solution :

Using coefficient of variation formula,

$CV=\frac{S}{X}\times 100$

Where, CV=18.75 is the coefficient of variation

S is the standard deviation

X=25.6 is the mean of data

Substitute the values,

$18.75=\frac{S}{X}\times 100$

$S=\frac{18.75\times 25.6}{100}$

$S=4.8$

Therefore, the standard deviation is 4.8.

#Learn more

If the coefficient of variation of a collection of data is 18 and its standard deviation is 3.2 then find the mean

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