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

  • question_answer
    If the mean of the distribution is 2.6, then the value of y is
    Variate x 1 2 3 4 5
    Frequency f of x 4 5 Y 1 2

    A) 24        

    B) 13

    C) 8         

    D) 3

    Correct Answer: C

    Solution :

    [c] Mean\[=\frac{\sum\limits_{i=1}^{n}{{{f}_{i}}{{x}_{i}}}}{\sum\limits_{i=1}^{n}{{{f}_{i}}}}\] \[\therefore 2.6=\frac{1\times 4+2\times 5+\times 3\times y+4\times 1+5\times 2}{4+5+y+1+2}\] \[\Rightarrow 31.2+2.6y=28+3y\Rightarrow 0.4y=3.2\Rightarrow y=8\]


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