Question

The mean of a data is 25.6 and it's coefficient of variation is 18.75. Find the standard deviation

Answer 1

Answer:

Step-by-step explanation:

Given:- Coefficient of variation=18.75

Mean, x-=25.6

Therefore, Coefficient of Variation=SD÷Mean

18.75 = SD÷25.6

SD= 18.75×25.6

=480

Answer 2

The standard deviation is 4.8

Step-by-step explanation:

The mean of a data is 25.6

it's coefficient of variation is 18.75

Formula :$CV = \frac{\sigma}{\mu} \times 100$

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

$18.75 \times 25.6 = 100 \sigma$

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

$4.8= \sigma$

Hence  the standard deviation is 4.8

#Learn more:

If the coefficient of variation of a collection of data is 57 and it's standard deviation is 6.84 then find the mean

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