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AP EAMCET201825 Apr 2018Morning ShiftMathematicsStatisticsActual

The standard deviation of the numbers 22 , 26 , 28 , 20 , 24 , 30 is

Options

  1. A2
  2. B2 . 4
  3. C3 . 24
  4. D3 . 42

Correct answer

D. 3 . 42

Step-by-step solution

We know that S . D = ∑ x i - μ 2 N where, μ → Mean N → Number of terms x i → terms Now, μ = 22 + 26 + 28 + 20 + 24 + 30 6 ⇒ μ = 150 6 = 25 Now, x i x i - μ 2 22 22 - 25 2 = 9 26 26 - 25 2 = 1 28 28 - 25 2 = 9 20 20 - 25 2 = 25 24 24 - 25 2 = 1 30 30 - 25 2 = 25 Therefore, ∑ x i - μ 2 = 70 S . D = 70 6 = 3 . 42

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