Calculate median of multiple polylines in ArcGIS

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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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