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This question already has an answer here:

Is there a way to get an average polygon of unioned stack of polygons in ArcGIS 10.0? I would like to get an average polygon that would be centroid (but polygon) of whole stack of polygons.

marked as duplicate by whuber Sep 2 '13 at 15:08

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    what average? The area size? You have to precise your question a little bit. Maybe add additional description or a picture – Curlew Sep 1 '13 at 21:58
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There seems to be a tool in the Geoprocessing Gallery called Spatial Average Polygons that may do what you are after - at least for a pair of polygons at a time.

  • tnx This is one solution if there is no tool for do the same thing with much more polygons at once. – Emersion Sep 2 '13 at 10:41

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