AP EAMCET · Maths · Statistics
The coefficient of variation of \(9,3,11,5,7\), is
- A \(\frac{100 \sqrt{2}}{7}\)
- B \(\frac{200 \sqrt{2}}{3}\)
- C \(\frac{200 \sqrt{2}}{7}\)
- D \(\frac{100 \sqrt{2}}{3}\)
Answer & Solution
Correct Answer
(C) \(\frac{200 \sqrt{2}}{7}\)
Step-by-step Solution
Detailed explanation
Given numbers are 9, 3, 11, 5, 7. Now, mean \((\bar{x})=\frac{9+3+11+5+7}{5}=\frac{35}{5}=7\) Variance \(\sigma^2=\frac{1}{5}\left(9^2+3^2+11^2+5^2+7^2\right)-(7)^2\) \(\begin{aligned} & =\frac{1}{5}(81+9+121+25+49)-49 \\ & =\frac{285}{5}-49=57-49=8 \end{aligned}\)…
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