This is a loaded question, as "closing costs," mean different things to different folks. I consider closing costs to also include the, "prepaid items," like property tax reimbursement to the seller, establishment of escrows, etc. To that end, it really depends on if the taxes are homesteaded or not, whether the loan is FHA or not (for upfront MIP), etc.
If you are strictly asking about the costs a lender or mortgage professional would charge a borrower (i.e. appraisal, application fee, and/or underwriting/processing fee), although I can't say there is a normal out there, I would say anything under $2,000 would likely be competitive for a non-challenging credit / borrower situation ... that being the case as long as the interest rate being provided is competitve, as well.
If that doesn't fully answer your question, or if you would like expansion or to discuss further, please don't hesitate to contact me.
Derek Bauer, Associate Broker / Realtor
Real Estate One