Q76 / 160 · AP EAMCET 2018 (24 Apr Shift 1) · Mathematics
Consider the frequency distribution

If the variance of this distribution is 60000 , then the coefficient of variation of the distribution is

If the variance of this distribution is 60000 , then the coefficient of variation of the distribution is
- A60
- Correct answerB$\frac{400 \sqrt{6}}{17}$
- C$\frac{400 \sqrt{6}}{9}$
- D595.75
Solution

$\begin{array}{rlr}C V & =\frac{\sigma}{\bar{X}} \times 100 \quad\left[\text { as } \sigma^2=60000\right] \\ & =\frac{100 \sqrt{6}}{425} \times 100=\frac{400 \sqrt{6}}{17} .\end{array}$
Hence, the correct answer is option: 'B'.