How to extract data from raster map to polygon shapefile attribute table

Discussion created by vtm6000 on Aug 21, 2013
Latest reply on Aug 21, 2013 by vtm6000
Just as the title says - how do I extract the (average) data from a raster image onto a polygon overlay?

In the attached image, the black square polygons belong to one shapefile. I want to extract the averaged data from the colored raster underlay and apply that average value into a new field in the polygon attribute table.

Anyone with suggestions on how to do this?