Question

The coefficient of variation of sample having mean equal to 25 and standard deviation equal
to 5 is
a) 30
b) 25
c) 20
d) 15​

Answer 1

20 %

Solution:

Given that,

Mean = 25

standard deviation = 5

The coefficient of variation of sample is given as:

$CV = \frac{ \text{ standard deviation }}{ mean }$

Substituting the values we get,

$\begin{gathered}CV = \frac{5}{25}\\\\CV = 0.2\end{gathered}$

In percentage,

$\begin{gathered}CV = 0.2 \times 100 \% \\\\CV = 20 \%\end{gathered}$

Thus coefficient of variation of a sample is 0.2 or 20 %

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