If you're expecting a particular area of the site to get more traffic than it actually is, then this could indicate that that part of the site is difficult to find. Where the requesters are situated. If your organisation has an international presence you might want to tailor some of your content to different countries. Where your visitors came from. A referrer log can show the page people linked from.
Statistics are also useful in site maintenance.
The number of errors produced can give pointers to broken links both within your own site and from other sites. Making Web server statistics meaningful is harder than collecting them. Since most pages will have some graphics on them, they're assembled using more than one hit. To avoid your site appearing more popular than it is, only measure the requests for entire HTML pages and directory entries. This gives a more accurate picture of how many 'page views' are taking place, but still isn't perfect.