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TS EAMCET · Maths · Statistics

The coefficient of variation of the first 5 prime numbers is

  1. A \(\frac{400}{7}\)
  2. B \(\frac{406}{7}\)
  3. C \(\frac{416}{7}\)
  4. D \(\frac{425}{8}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{400}{7}\)

Step-by-step Solution

Detailed explanation

First prime number is \(2,3,5,7,11\) \(\bar{x}=\frac{2+3+5+7+11}{5}=\frac{28}{5}\) \(\begin{aligned} \Sigma x_i^2 & =4+9+25+49+121=208 \\ \sigma & =\sqrt{\frac{\Sigma x_i^2}{5}-(\bar{x})^2}\end{aligned}\)…