I've created buffers around home origins and am looking to calculate the sum of shapefiles (in this case crime) within each buffer. How would I go about doing this? I want to know how many crimes are within each buffer. Thanks!
you should use the spatial join tool and select sum for statistics which are completely within source layer.
If the spatial join tool doesn't work, you could try with this equivalent method :
right click on your buffer polygon in the context menu, select "join" in the drop box, select "join based on location"
If you really have a very large number of points, the only workaround that I see is to loop on each polygon, select by location and count the number of features (using modelbuilder or, better, arcpy)