There is a $1,000 per child "child tax credit". You only recieved the money back if you paid that much in the first place. there is also dependent care expenses that can help lower your taxes. Again, it depends how much tax you have paid in the first place. There is also an earned income credit that you can get back no matter how much tax you paid in. It all depends on your income and other factors. So there really is no "normal" refund amount for a child. Best bet is to pull up the 1040 from from the IRS website and start plugging your expected income numbers in and see where you are. The irs also has instructions on the site so if you have questions about different credits, you can research further.
at 11:25 AM on Dec. 17, 2008