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

  • 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 :

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


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