[R] clusters centroid and distances

[Bruno L. Giordano]

Dear R-list.

I would need to know if the centroid of a cluster, whose coordinates are the 
average of the coordinates of the points in the cluster,

is also the point that minimizes the sum of its distances from all the 
points in the cluster.

If so, where could I find a proof?

Since I understand this question is not directly connected to R, I would 
greatly appreciate if someone could just point me to a more appropriate 
mailing list.

Thank you,

    Bruno


~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Bruno L. Giordano, Ph.D.
CIRMMT
Schulich School of Music, McGill University
555 Sherbrooke Street West
Montréal, QC H3A 1E3
Canada
http://www.music.mcgill.ca/~bruno/