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

  • question_answer
    The arithmetic mean of numbers a, b, c, d, e, is M. What is the value of  \[(a-M)+(b-M)+(c-M)+(d-M)+(e-M)?\]

    A) M

    B) \[a+b+c+d+e\]

    C) 0

    D) 5 M

    Correct Answer: C

    Solution :

    [c] Given \[M=\frac{a+b+c+d+e}{5}\] \[\Rightarrow a+b+c+d+e=5M\] \[\Rightarrow a+b+c+d+e-5M=0\] \[\Rightarrow (a-M)+(b-M)+(c-M)\] \[+(d-M)+(e-M)=0\] Hence, required value = 0


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