The mean and standard deviation of a set of values are 5 and 2...

The mean and standard deviation of a set of values are 5 and 2 respectively. If 5 is added to each value, then what is the coefficient of variation for the new set of values?

Options

A $10$
B $20$
C $40$
D $70$

Correct answer

B. $20$

Step-by-step solution

Given, Mean

=5

Standard deviation

=2

If 5 is added to each value, mean

=5+5=10

. Standard deviation will not change.

\begin{aligned} & \text{ Coefficient of variation }=\frac{\text{ Standard deviation }}{\text{ Mean }} \times 100 \\ & =\frac{2}{10} \times 100=2 \times 10=20 \end{aligned}

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