I pay around $90 a year for a policy with $10,000 in coverage and a $500 deductable. The peace of mine the policy offers is worth every penny. So, calculate the total value of your possessions and go see an agent. Talk to the company that does your car insurance as they may give you a discount. When calculating the value of your stuff, you'll tend to look at all the big items. Don't forget about things like furnature (bed, dresser, tables, chairs), media (movies, music, books), kitchen items (pots, pans, utensils, etc), CLOTHES (this is a big one). As a chemical engineer, I have around $1000 worth of textbooks alone, not to mention all the furnature (tables, chairs, computer desk, couch, bed), my CD and DVD collections, my video game consoles and collections. Not to mention all my eletronics, computer equipment, etc. Tack on the expensive of having to buy all new clothes, and you are looking at a sizable amount of money. To be perfectly honest, $10,000 probably wouldn't cover everything.
Chances are that you won't need your renters policy, but if you ever do, you'll be glad you are insured.
R