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AP EAMCET · Maths · Statistics

Consider the frequency distribution


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

  1. A 60
  2. B \(\frac{400 \sqrt{6}}{17}\)
  3. C \(\frac{400 \sqrt{6}}{9}\)
  4. D 595.75
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{400 \sqrt{6}}{17}\)

Step-by-step Solution

Detailed explanation

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