Question

Coefficients of variation of two distributions are $50$ and $60$ and their arithmetic mean are $30$ and $25$ respectively. Difference of their standard deviation is

• A. $0$
• B. $1$
• C. $1.5$
• D. $2.5$

Answer 1

Answer: (A)

$0$

Here ${\mu }_1=30,{\mu }_2=25$
and $C_{V_1}=50,C_{V_2}=60$
$\Rightarrow \frac{{\sigma }_1}{{\mu }_1}\times 100=50,\frac{{\sigma }_2}{{\mu }_2}\times 100=60$
$\Rightarrow {\sigma }_1=15,{\sigma }_2=15\therefore {\sigma }_1-{\sigma }_2=0$