JEE Main & Advanced Mathematics Statistics Question Bank Self Evaluation Test - Statistics

  • question_answer
    The standard deviation of \[9,\,\,16,\,\,23,\,\,30,\,\,37,\,\,44,\,\,51\] is

    A) 7

    B) 9

    C) 12

    D) 14

    Correct Answer: D

    Solution :

    [d] Standard deviation \[=\sigma =d\sqrt{\frac{{{n}^{2}}-1}{12}}\] d= size between each observation = 7 n= total number of observation = 7 \[\therefore \sigma =7\sqrt{\frac{{{(7)}^{2}}-1}{12}}=7\sqrt{\frac{49-1}{12}}\] \[=7\sqrt{\frac{48}{12}}=7\times 2=14\]


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