# How to compute mean coordinates?

Can anybody explain how to compute mean coordinates?

Regards.

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please clarify your question. What exactly are you try to do and what tools are you using? – spatialthoughts Jul 24 '12 at 5:50
I am using the analysis tool whose name is mean coordinate. – Mauro Jul 24 '12 at 12:42
What software are you using? – whuber Jul 24 '12 at 12:51
I am using Quantum GIS. – Mauro Jul 24 '12 at 13:08
This question describes how to compute mean coordinates in QGIS: gis.stackexchange.com/questions/29181/mean-coordinates-in-qgis. Is that what you're looking for? – whuber Jul 24 '12 at 16:04

The same way you calculate any mean from a set of numbers. The sum of the numbers divided by the count

Mean x = (X1 + X2 + X3....XN)/N
Mean Y = (Y1 + Y2 + Y3....YN)/N

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I suppose there should be another possibilities, arithmetic mean is only relevant for planar coordinates. – menjaraz Jul 24 '12 at 9:21
True, although with the lack of information in the question I just assumed planar. – Nathan W Jul 24 '12 at 9:41
You are right. AFAIC, doing it on the sphere and/or on the ellipse (I think of WGS84) are also relevant. I also think of Delaunay Triangles, Voronoï Diagrams and the more involved computations implied. – menjaraz Jul 24 '12 at 10:18
Thanks for the response! In WGS 84 are the same calculations?? Is correct to do this in every coordinate system or projection? – Mauro Jul 24 '12 at 12:37