From what I've found, webalizer isn't the best. I really like AWStats. They give you a more focused snapshot of your traffic in one day, week, month, or over the year.
If you look at your stats, you average approximately about 1200 visits per day. Are they unique or not? That's what you have to look at. Unique visitors are those that haven't been there before. Hits count any time your page is viewed. So you could have 12 unique vistors hitting every page you have every day. Your hit count would be through the roof, but the unique count would still be low (because they've visited more than once, so thus not unique). I'm not sure if Webalizer does that, but it should.
You can't just look at those stats. You have to scroll down and look at the full picture. Look at what IP addresses hit you a lot. It's a possibility that they're spiders for search engines. A quick nslookup would help in determining that. Stats isn't that involved, but you have to take time to interpret them. You can read up on what each individual mark means at webalizers site (they've gotta have a manual). That should really be all you need.
The only reason I know so much is because I had a client that wanted to know how much traffic they were getting. I used AWStats (and webalizer) and gave them both a pin-point snapshot of what was going on, as well as a good overview of the past months. And I too had to research what each item meant (so the information is out there!)
