People get a wide range of mpg figures out of their Sonics depending on how they drive them, however, you are scoring really really low.
I have converted my car over to run E85, and I drive it like a madman, jackrabbit starts zooming up to 90+mph in a quarter mile, tearing around at 19mph over the speed limit, pounding the hammer down to pass... and I still get 22-23mph (note that E85 is only about 2/3rds as efficient as 93 octane pump gas).
I can drive the same car, same mods, same fuel, and get 32mpg, just by driving sensibly. I got 44mpg using 93 pump gas back when I first bought the car, pre-mods.
Your car is very new, there are bound to be some break in issues and some learning curve on your part... but I still find it hard to figure how you are getting so extremely poor mpg. Maybe the dealer will let you test drive an identical car, put a couple hundred miles on it driving the same way you are now, see if you get different results?
One possible issue is your DIC; the in car displayed mpg number is very often inaccurate; have you tried filling up, driving, recording the miles traveled, filling up again, same pump same station, and then doing the math?
If you're using 10 gallons between fillups, you should be able to travel 300 miles or more on that, particularly if you aren't driving like I do.