JEE Main & Advanced Mathematics Statistics Question Bank Mean

  • question_answer
    The harmonic mean of 3, 7, 8, 10, 14 is

    A)                 \[\frac{3+7+8+10+14}{5}\]    

    B)                 \[\frac{1}{3}+\frac{1}{7}+\frac{1}{8}+\frac{1}{10}+\frac{1}{14}\]

    C)                 \[\frac{\frac{1}{3}+\frac{1}{7}+\frac{1}{8}+\frac{1}{10}+\frac{1}{14}}{4}\]       

    D)                 \[\frac{5}{\frac{1}{3}+\frac{1}{7}+\frac{1}{8}+\frac{1}{10}+\frac{1}{14}}\]

    Correct Answer: D

    Solution :

    \[\text{H}\text{.M}.=\frac{n}{\frac{1}{{{x}_{1}}}+\frac{1}{{{x}_{2}}}+.....+\frac{1}{{{x}_{n}}}}=\frac{5}{\frac{1}{3}+\frac{1}{7}+\frac{1}{8}+\frac{1}{10}+\frac{1}{14}}\].


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