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Given a cloud of points in three dimensional space (with coordinates x,y,z), is the centroid for these points equal to the arithmetic mean of their coordinates?

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Look for the definition of "centroid" in your book. In my textbook, the answer is "yes" (if "cloud" means "finite set"). – GEdgar Feb 22 '12 at 14:23
Thanks for the reply, i saw the wikipedia page, but wasn't sure if my interpretation was correct. – user25251 Feb 22 '12 at 15:19

The comments state that 'arithmetic mean of coordinates' is indeed the definition of the centroid.

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