I've previously mentioned that you can let WolframAlpha take a look at your Facebook account and provide you with lots of factual stuff - it's now added a bunch more options so that you can find out:
Who is your most popular friend from college?
What was your most liked status update?
Are all your married friends clustered in one part of your network?
What are the most common words on your wall?
Are all your friends from your hometown the same age?
It's a fascinating tour through your own account, and something of an eyeopener.