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      Question

      Find the standard deviation of the following data

      (rounded off to two decimal places). 5, 3, 4, 7
      A 1.48 Correct Answer Incorrect Answer
      B 3.21 Correct Answer Incorrect Answer
      C 4.12 Correct Answer Incorrect Answer
      D 2.45 Correct Answer Incorrect Answer

      Solution

      ATQ, Given observation is  5,3,4,7 Mean = (3+4+5+7)/4  = 19/4 = 4.75 Standard Deviation by  The Actual Mean Method σ = √(∑(x−¯x) ( x − x ¯ ) 2 /n),  where n = total number of observations. [(3 - 4.75)2 + (4 - 4.75)2 + (5 - 4.75)2 + (7 - 4.75)2 ]/4 [(1.75)2 + (0.75)2 + (0.25)2 + (2.25)2 ]/4 (3.0625 + 0.5625 + 0.0625 + 5.0625)/4 = 2.1875 √2.1875 1.4790 or 1.478

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