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Math Help - median of medians question

  1. #1
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    median of medians question

    Hello folks.

    Lets say we have two sets A and B with many elements.
    I sorted them and I calculated their medians.

    Now I need AUB median.
    As far as I see the median of AUB is not equal to (A's median + B's median)/2 right?

    So how am I supposed to calculate AUB median the fastest way?

    Thank you in advance for your time and your help
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Narek View Post
    Hello folks.

    Lets say we have two sets A and B with many elements.
    I sorted them and I calculated their medians.

    Now I need AUB median.
    As far as I see the median of AUB is not equal to (A's median + B's median)/2 right?

    So how am I supposed to calculate AUB median the fastest way?

    Thank you in advance for your time and your help
    Merge A and B preserving the sort, then find the median of the merged sorted list.

    CB
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  3. #3
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    CaptainBlack,

    Thanks for the reply.

    Actually, I already knew what you said. The problem is that I want to ONLY use the 2 medians to calculate the new median.
    Well, to be more clear, this is a logic used in a programming code. I don't intend to get back to A and B to get their values and then merge them and then recalculate a new median. That will slow down the program because I have a large tree. I want to get the median instantly using A and B medians.
    Seems impossible right?

    Thanks again for the help.
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  4. #4
    Grand Panjandrum
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    Quote Originally Posted by Narek View Post
    CaptainBlack,

    Thanks for the reply.

    Actually, I already knew what you said. The problem is that I want to ONLY use the 2 medians to calculate the new median.
    Well, to be more clear, this is a logic used in a programming code. I don't intend to get back to A and B to get their values and then merge them and then recalculate a new median. That will slow down the program because I have a large tree. I want to get the median instantly using A and B medians.
    Seems impossible right?

    Thanks again for the help.
    It is provably impossible.

    CB
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