These are all with the stock 3100mAh battery (always on LTE - no Wi-Fi ever).
This is what I average during my normal usage patterns (1.5 to 2 days with approx. 4 hours screen on time):
This one indicates great standby time when the phone hadn't been used all that much (only 2 hours of total screen on time over 3 days):
I don't have any screenshots for it, but when I do use the Note 2 heavily I still get a whole day of use (ex. at least 20 hours with 5 to 6.5 hours of screen on time). It takes a lot to kill the Note 2 battery.