in raster world on a cell by cell basis there is the local toolset specifically the cell statistics toolin the raster/vector world there is the Zonal Statistics toolset Both don't return what you want, since they return the statistics on a cell-by-cell basis, specifically
available statistics are Majority, Maximum, Mean, Median, Minimum, Minority, Range, Standard Deviation, Sum, and Variety
you want the data from which these values are derived. the Combine tool could work if each zone was a cell (which is unlikely), but you are limited to 20 input rasters...soooo you are left with coding a solution using RasterToNumPyArray and working with the arrays in Python. And working with an n*m*300 array could raise other issues. You may have to parse the work flow into manageable steps.
Any further information as to your end result would help.