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JEE Main & Advanced AIEEE Solved Paper-2011

  • question_answer
    If the mean deviation about the median of the numbers \[a,2a,\,........\,,50a\] is 50, then \[\left| a \right|\] equals.   AIEEE  Solved  Paper-2011

    A) 5                                                

    B) 2

    C) 3                                                

    D) 4

    Correct Answer: D

    Solution :

                 From the given data, median  \[=\frac{25+26}{2}a=25.5a\] Required mean deviation about median\[=\frac{2\left| 0.5+1.5+2.5+...+24.5 \right|}{50}\left| a \right|=50\] \[\Rightarrow \,\,\,\,\left| a \right|=4\]


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