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

  • question_answer
    An aeroplane flies around a squares, the sides of which measure 100 miles each. The aeroplane covers at speed of 100 m/h the first side, at 200 m/h the second side. At 300 m/h the third side and 400 m/h the fourth side. The average speed of the aeroplane around the square is

    A) 900 m/h

    B) 195 m/h

    C) 192 m/h

    D) 200 m/h

    Correct Answer: C

    Solution :

    [c] Using the weighted HM formula \[\frac{1}{H}=\frac{1}{N}\sum\limits_{i=1}^{n}{\frac{{{f}_{i}}}{{{x}_{i}}}orH=\frac{1}{\frac{1}{N}\sum\limits_{i}{\frac{{{f}_{i}}}{{{x}_{i}}}}}}\] \[\therefore \] Average speed \[=\frac{400}{100\left( \frac{1}{100}+\frac{1}{200}+\frac{1}{300}+\frac{1}{400} \right)}\] \[=192m/h\]


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