Find the center of mass of points [closed]

Question

I have N points. Each point has X and Y coordinates.

I need to find X and Y of center of mass this points. Can you give me an algorithm to accomplish this task?

Answer 1

Is there something wrong with just taking the weighted average by mass?

for each point n
{
    totalmass += n.mass
    totalx += n.x*n.mass
    totaly += n.y*n.mass
}
center = (totalx/totalmass,totaly/totalmass)

add additional dimensions as appropriate.