JEE Main & Advanced Mathematics Statistics Question Bank Measures of dispersion

  • question_answer
    The variance of a, b and g is 9, then variance of 5a, 5b and 5g is                                                       [AMU 1998]

    A)                 45           

    B)                 9/5

    C)                 5/9         

    D)                 225

    Correct Answer: D

    Solution :

                       When each item of a data is multiplied by \[\lambda \], variance is multiplied by \[{{\lambda }^{2}}\].                                                 Hence, new variance \[={{5}^{2}}\times 9\]\[=225\].


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