Q76 / 160 · AP EAMCET 2018 (24 Apr Shift 1) · Mathematics

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

  • A
    60
  • Correct answer
    B
    $\frac{400 \sqrt{6}}{17}$
  • C
    $\frac{400 \sqrt{6}}{9}$
  • D
    595.75

Solution

Figure
$\begin{array}{rlr}C V & =\frac{\sigma}{\bar{X}} \times 100 \quad\left[\text { as } \sigma^2=60000\right] \\ & =\frac{100 \sqrt{6}}{425} \times 100=\frac{400 \sqrt{6}}{17} .\end{array}$

Hence, the correct answer is option: 'B'.

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