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Math Help - Median

  1. #1
    Member GAdams's Avatar
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    Median

    I know what the answer to this is, but I haven;t got a clue how to arrive at it. Could someone please explain how I would approach this kind of problem?

    Thanks.
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  2. #2
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    Let (x_1,x_2,...,x_n) n numbers is increasing order (or non-decreasing). If n is odd then x_{\frac{n+1}{2}} is the location of the median. If even then \mbox{Average}\left( x_{\frac{n}{2}}, x_{\frac{n+1}{2}} \right).

    Since you have n=100 the answer is the average between the 50th and the 51st number when placed in increasing order.
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  3. #3
    Grand Panjandrum
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    The median is in the interval 10<=x<20m as there are 31 of 100 for x<10, and 55 of 100 for x<20, so the median is in the range 10<=x<20.

    RonL
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