JEE Main & Advanced Mathematics Statistics Question Bank Mean

  • question_answer
    If the mean of the distribution is 2.6, then the value of y is [Kurukshetra CEE 2001]
    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 :

               We know that, Mean\[=\frac{\sum\limits_{i=1}^{n}{{{f}_{i}}{{x}_{i}}}}{\sum\limits_{i=1}^{n}{{{f}_{i}}}}\]            i.e., \[2.6=\frac{1\times 4+2\times 5+3\times y+4\times 1+5\times 2}{4+5+y+1+2}\]             or \[31.2+2.6y=28+3y\] or \[0.4y=3.2\] Þ \[y=8\].


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