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Google Analytics shows 12000 visitors per day while awstats shows only 7000 visitors per day
Is it possible to have such a large variation
And, besides that, the visitor stat will be completely different as said above, for the same reasons and other reasons. Look at the documentation for each program.
Google Analytics Help has a lot of text on this, do some searching for it. Also, search here in WebmasterWorld for similar discussions in the past, including ones about GA vs Awstats.