Manny,
My average approach in my stats right now sits at 10 feet, but that is subjective to the length of time I have been playing. I have been through all the tee changes (keep getting bumped back) as well as all the advancements in clubs and balls. If you were to take one of my better rounds (my recent 56 on Kiawah) I was under 5 feet (4.7 I think) from the pin on average for the entire round. Keep in mind that that is with THE most precise clubs and 'stickiest' balls you can get. I missed 1 putt I should have sank in that round.
Normally I would guess that my average is at about 7-9 feet lately, which yes does lend to more chances at birdie. Your clubs are far less precise than mine, so there is no comparison there, but that's actually a good thing.... because it is forcing you to learn how to putt, and then you'll know what to do when you really need it (like draining that 30 foot monster to finish an extra few places higher in the standings)