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

  • question_answer
    One set containing five members has mean 8, variance 18 and the second set containing three members has mean 8 and variance 24. The variance of combined set of numbers is

    A) 24

    B) 20.25

    C) 22.25

    D) None of these

    Correct Answer: B

    Solution :

    [b] \[{{\sigma }^{2}}=\frac{5.18+3.24}{5+3}+(8-8)\frac{15}{64}=20.25.\]


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