I found this on the "body count" website. It gives some info on how they came up with their totals. 7300+ is still a hell of a count.

This database includes up to 7,350 deaths which resulted from coalition military action during the "major-combat" phase prior to May 1st 2003. In the current occupation phase the database includes all deaths which the Occupying Authority has a binding responsibility to prevent under the Geneva Conventions and Hague Regulations. This includes civilian deaths resulting from the breakdown in law and order, and deaths due to inadequate health care or sanitation.