>> Given a vector map (i.e., a land cover map)
>> and a raster of a continuous variable (i.e., height),
>> is there any plugin calculating a table of average
>> (and perhaps other stats) of the raster for
>> each category in the vector?

If you have GRASS it can be easily done. If you want I can tell you
how I do it... but I have to go know. I will be back in a couple of
hours.
In the meanwhile take a look at:
http://grass.osgeo.org/grass64/manuals/html64_user/v.rast.stats.html

Giovanni
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