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If I have more than 2 points on a graph, how would I best find a point that might be the midpoint between all of them?

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Independent of whether the points are on a graph, you can find what might be called their midpoint by forming the average of each of the coordinates. – joriki Apr 26 '11 at 20:09
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@Theo: graph paper. – Mitch Apr 26 '11 at 20:25
@Mitch: Thanks. I've just figured that out by the OP's reaction to Ross's answer :) – t.b. Apr 26 '11 at 20:26

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If you have a bunch of $n$ points, $(x_i,y_i)$, you can use $$(\frac{1}{n}\sum x_i,\frac{1}{n}\sum y_i)$$ Does that meet your needs?

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Oh of course! Thank You – Seth Hikari Apr 26 '11 at 20:16

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