I wonder if the good people here can help me out.
I want to know what are the steps for calculating the distance to a centroid of points in which I do not know the co-ordinates of the points only the distance between them. The space has high unknown dimensionality.
For example I have point A which is 10 from point B, 12 from point C and 14 from point D.
Point B is 6 from point C, 8 from point D
and point C is 14 from point D.
I then have a new point Z which is 8 from point A, 11 from point B, 14 from point C and 12 from point D.
I want to calculate the distance of the new point Z to the centroid (or the average ) of points A, B, C and D.
Any help appreciated.