Calculate the variance of 2, 3, 3, 4, 5, 5, 5, 7, 7 and 9

Calculate the variance of 2, 3, 3, 4, 5, 5, 5, 7, 7 and 9

  • A.
    2.2
  • B.
    3.4
  • D.
    4.0
  • D.
    4.2
Correct Answer: Option D
Explanation

x = (frac{2 + 3 + 3 + 4 + 5 + 5+ 5+ 7 + 7 + 9}{10})

=(frac{50}{10})

= 5

Variance = (frac{sum{(x – x})^2}{N})

(frac{9 + 4+ 4+ 1 + 4 + 4 + 16}{10})

= (frac{42}{10})

= 4.2

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