How to find the best collective midpoint between more than 2 points?

Question

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?

Answer 1

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?