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Math Help - Median

  1. #1
    Member integral's Avatar
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    Median

    Hey, I asked my teacher for a standard equation for the median of a sample, she said there was no specific one.
    I called lies, but I could not find it online.
    Thus, the only choice was to ponder it for a long time.

    (and I will define the terms, I tried to make it formal but I suck at that part of maths so far I think.)

    M_{ed}=\left\{\begin{matrix}<br />
\left [\left (i_{\frac{1}{2}\left | x \right |+1}\right )+i_{\left | x \right |\frac{1}{2}\right ]}\frac{1}{2}; \mathbf{if}\left \{ \left | x \right |\in  t|t=2n \right \}\\ <br />
i_{\frac{1}{2}\left | x \right |+\frac{1}{2}};\mathbf{if}\left \{ \left | x \right |\in j|j=2n+1 \right \}<br />
\end{matrix}\right.
    Always puting the set in order from least to greatest first of course.

    Terms defined:
    Edit: The letter I is a representation of an element of x
    If we have a population (P) then:
    x \subseteq P

    and \left | x \right | is the number of element the set of data contains.

    Is this correct? If I am not clear on something or made a notation mistake just tell meh.

    Examples:
    c=\left \{ 1,2,3,4,5,6 \right \}\Rightarrow \left | c \right |=6\Rightarrow c\in 2n \therefore M_{ed}=\frac{c_{4}+c_{3}}{2}=\frac{4+3}{2}=3.5

    t=\left \{1,2,4,8,10,4}\right \} \Rightarrow t=\left \{1,2,4,4,8,10 \right \}
    |t|=6\therefore M_{ed}=\frac{t_3+t_4}{2}=\frac{4+4}{2}=4
    Last edited by integral; July 6th 2010 at 05:16 PM.
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  2. #2
    MHF Contributor
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    Why? It reminds me of a corn picking joke...

    You are contemplating a tasty row of corn, You want to go down the row and have the very biggest and juiciest ear by the time you get to the end. What's the simplest solution?
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  3. #3
    Member integral's Avatar
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    What?
    Edit: oh, you eat each side before you get to the middle?

    If that is what you are saying, yes I know that is the simplest solution. But I don't like to do things that way, I like everything to have an equation or some rigorous mathematical definition. If I can't create an equation to something, it is extremely un-interesting.That's why logarithms suck lol
    Last edited by integral; July 5th 2010 at 05:07 PM.
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  4. #4
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    No, no. The simplest would be to pick ALL the ears. The lesson is that it is possible, by why would you want to do it? You wanted only one ear and you were required to do WAY MORE WORK than should be necessary.

    Do you rebuild your car from ore every time you drive it?

    In addition, some feel that a Median must be IN the set. You'll have to include an option and alternate definition for those who hold to this view.

    Social Note: I would NOT suggest treating your girl friend like this. "If I can't create an equation to something, it is extremely un-interesting."
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  5. #5
    Member integral's Avatar
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    Quote Originally Posted by TKHunny View Post
    No, no. The simplest would be to pick ALL the ears. The lesson is that it is possible, by why would you want to do it? You wanted only one ear and you were required to do WAY MORE WORK than should be necessary.

    Do you rebuild your car from ore every time you drive it?


    In addition, some feel that a Median must be IN the set. You'll have to include an option and alternate definition for those who hold to this view.

    Social Note: I would NOT suggest treating your girl friend like this. "If I can't create an equation to something, it is extremely un-interesting."
    Eh, can't you just answer? lol




    If I do more work than I should, why would you care?

    Plus, girlfriends are over-rated anyways.
    .
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