Although the fact was likely never in doubt, Football Outsiders (with a nifty chart) provides the research. The Washington Redskins had 29 draft picks from 2002-2006, fewer than any other team. The next closest were the Miami Dolphins, with 32. We were well below both the Mean (40.3) and the Median (41) -- duh.
Where were we specifically the most insignificant? We were last in the league in Centers (zero) and Defensive Ends (one) drafted in that time period. We were above the Mean in QBs, RBs, and TEs drafted, picking up three, four, and three respectively. I don't want to draw trends from such a small data set, though it appears we place a relative emphasis on skill positions over meat-and-potatos guys. In a ratio of Linemen:Total players drafted, the Redskins were .28 or 2nd to last of all teams (Detroit was last -- they also have the most losses since 2002. Just saying.).
We've also drafted the fewest Defenders of any team in the league since 2002, including dead last in Front Seven (LB+DE+DT), Back Seven (DB+LB) and Defensive Line. Perhaps that is one (of many reasons) why our 2006 defense was so susceptible to failure from one or two injuries. We lacked depth?
Some good news!
Only two teams were more than two standard deviations away from the mean number of draft choices; the Titans on the high side and the DPDR on the low end.
It's an interesting read with a lot of well organized information. Have a look-see if you get the chance.