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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┬а 5,3,4,7 Mean = (3+4+5+7)/4┬а = 19/4 = 4.75 Standard Deviation by┬а The Actual Mean Method ╧Г = тИЪ(тИС(xтИТ┬пx) ( x тИТ x ┬п ) 2 /n),┬а where n = total number of observations. [(3 - 4.75)2┬а+ (4 - 4.75)2┬а+ (5 - 4.75)2┬а+ (7 - 4.75)2┬а]/4 [(1.75)2┬а+ (0.75)2┬а+ (0.25)2┬а+ (2.25)2┬а]/4 (3.0625 + 0.5625 + 0.0625 + 5.0625)/4 = 2.1875 тИЪ2.1875 1.4790 or 1.478

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