How can I tell which version of Windows 8 I am running? Standard, Pro, Enterprise, or RT?
I suspect it is the standard edition.
I have Pro and it shows as Windows 8 Pro as per the image below.
Alternatively, you can try the following from the command line:
systeminfo | findstr /B /C:"OS Name" /C:"OS Version"
To complement the other answers, I have Windows 8.1 Basic Edition, and the System Properties shows just "Windows 8.1".
In PC Settings -> PC Info, the same information is available:
This should complement the screenshots of the other editions shown in the other answers.
It will tell you on the System properties screen (WinBreak). I'm running Win 8 Pro and it reflects that:
If yours just says "Windows 8" then I would say you are running the standard version.