first off, plug it into the wall for all of this, with laptops you can never depend on battery power when troubleshooting them.
do all the fans come on and everything when you turn it on? does it beep or anything unusual that it normally doesn't do when it boots.
Freezing while installing the OS sounds like harddrive or CDrom failure but that shouldn't result in a black screen.
If its a hard drive failure you should still get some warning text about disk boot failure, not a blank screen.
You should hook it up to an external monitor, possibly the display died. Some laptops have a button you need to press to get it to go to an external monitor, some don't you might want to check the manual.
Does the back lighting on the screen come on even thought it stays black. Turn it on in a dark room and see if you can tell if the screen glows (yes, they will kind of glow black, its a good way to check the back lighting even if nothing else shows up on the screen.)
If the back lighting doesn't turn on try starting it up and go outside in the sun and look at the screen at all different angles, sometimes if the inverter for the back light dies you can't see anything until you get the screen in really bright light, then you can kind of see whats on the screen, enough to know its working.
If the fans come on, and the back lighting comes on but nothing shows up it might be a dead video card (you usually can't replace them in laptops, so your screwed, or you get a new motherboard)
If the back lighting is dead you can buy replacement inverters for laptop screens by model, they are like $80 but better than buying a new screen.
If the fans come on and there is no backlighting and nothing onscreen even in bright light then your probably also screwed and some hardware has failed.
The easily replaceable hardware that could fail will result in a boot error, which should appear when you try to boot, not a blank screen.
Additionally, if there is more than one stick of memory in there try booting with just one, or just the other. try them in both slots. if one of your sticks went bad that might be it.
hope that helps.