Question

Coefficient of variation of two distributions are 50 and 60, and their arithmetic means are 30 and 25 respectively. Difference of their standard deviation is

• A. 2.5
• B. 1.5
• C. 0
• D. 1

Answer 1

The correct option is C 0

Coefficient of variation$=\frac{\left(Standarddeviation\right)}{Mean}\times 100$

From given data, Coefficient of variation of two distribution is

Let $C{V}_1=50,C{V}_2=60$

Given: Arithmetic means $m_1=30and{m}_2=25$

Standard deviation$\left({\sigma }_1\right)=\frac{50\times 30}{100}=15$

${\sigma }_2=\frac{60\times 25}{100}=15$

$\therefore {\sigma }_1-{\sigma }_2=0$

Hence, option (A) is correct