how to find the average concurrency point from a group of lines ?

hello :) i am doing some chemical experiments by which i get a group of lines on an XY graph . These lines should be ideally concurrent intersecting at a one point. But due to some error the lines are not concurrent resulting that each 2 lines having an intersection point. Is there a way to derive from these separate intersection points what is the position of the ideal point of concurrency ? ... i tried the mean function with an array of these points but is there other more accurate methods than using the mean ??? thanks