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    Question

    Find the standard deviation of the following data

    (rounded of the two decimal places). 5,3,4,7
    A 1.78 Correct Answer Incorrect Answer
    B 1.48 Correct Answer Incorrect Answer
    C 2.18 Correct Answer Incorrect Answer
    D 4.75 Correct Answer Incorrect Answer

    Solution

    Observation = 5,3,4,7 Mean = (5+3+4+7)/4 =19/4 = 4.75. Squared Differences from the Mean= (5-4.75)2 = 0.0625 (3-4.75)2=3.0625 (4-4.75)2 = 0.5625 (7-4.75)2=5.0625 Variance = (0.0625+3.0625 +0.5625 +5.0625)/4 =8.75/4 = 2.1875 Standard Deviation=√2.1875 =1.48 Standard Deviation = 1.48

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