JEE Main & Advanced Mathematics Statistics Question Bank Mock Test - Statistics

  • question_answer
    Standard deviation for first 10 natural numbers is

    A) 5.5                   

    B) 3.87

    C) 2.97     

    D) 2.87

    Correct Answer: D

    Solution :

    [d] we know that, SD of first n natural numbers\[=\sqrt{\frac{{{n}^{2}}-1}{12}}\] \[\therefore \]SD of first 10 natural numbers \[=\sqrt{\frac{{{10}^{2}}-1}{12}}\] \[=\sqrt{\frac{100-1}{12}}=\sqrt{\frac{99}{12}}=\sqrt{8.25}=2.87\]


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