AP EAMCET · Maths · Statistics
The marks obtained by students \(A\) and \(B\) in 3 examinations are given below
The ratio of the coefficient of variation of marks of \(A\) and the coefficient of variation of marks of \(B\) is
- A 3 : 1
- B \(5: 8 \sqrt{3}\)
- C 1 : 3
- D \(5: 3 \sqrt{61}\)
Answer & Solution
Correct Answer
(D) \(5: 3 \sqrt{61}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \text { Marks of } A=30,20,40 \\ & \bar{x}_A=\frac{30+20+40}{3}=30 \\ & \sigma_A=\sqrt{\frac{0^2+(-10)^2+(10)^2}{3}}=\sqrt{\frac{200}{3}} \\ & {\left[\sigma=\sqrt{\frac{\left(x_i-\bar{x}\right)^2}{n}}\right.}\end{aligned}\)…
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