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I am working with several polylines of mean monthly Arctic sea ice extent for the month of September; one line per year from 1979 - 2010.

I would like to summarize the polylines by showing the median (of the mean monthly) ice extents over two different time periods (1979-1999 and 2000-2010).

Is there at tool that will calculate this new median line for me?

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When you say the median ice extents I assume you are referring to the distance between the "shorelines" of the ice sheets between your time periods. Amending your question with a simple image would resolve any confusion in what you are asking. There is the DSAS tool which may solve your question. It appears that version 4.3.473 is compatible with ArcGIS 10.0.

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