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JEE Main & Advanced Mathematics Statistics Question Bank Mean

  • question_answer
    Consider the frequency distribution of the given numbers
    Value : 1 2 3 4
    Frequency : 5 4 6 f
                    If the mean is known to be 3, then the value of f is

    A)                 3             

    B)                 7

    C)                 10           

    D)                 14

    Correct Answer: D

    Solution :

                       Mean = \[\frac{1\times 5+2\times 4+3\times 6+4\times f}{5+4+6+f}\]                    i.e., \[3=\frac{5+8+18+4f}{15+f}\] Þ \[45+3f=31+4f\]                                 Þ \[45-31=f\] Þ \[f=14\].


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