
Note: the height of my lines on the high-res pic might not be accurate. (as in the height of the lines)
EDIT: oh shit forgot the zero shift. Pretend I drew it.

More Proton NMR examples
Example 1:Low resolution:

High resolution

From the above

analysis:
- in

, the 2H are in the same chemical environment which results in the same peak
- in

, the 3H are in the same chemical environment which results in the same peak too
Look at the high res
-

's peak is split into 3 separate peaks. It is next to

. (think of it as one peak for itself, 2 other peaks for 2H from

)
-

is split into 4 smaller peaks. This is because it's next to

. (one peak for itself, 3 other peaks for 3H nextdoor).
Example 2
symmetry.
6H as in both

environments, which are in the same chemical environment. (therefore turn out to be the same peak).
2H (both

groups) are also in the same environment which results in the same peak.
In the high res, only half of the molecule's property is shown since one half of it is the same as the other (symmetry). [the peak heights increase though]
Anyway, sorry I'm tired, cbf C13 NMR examples. If you get H1 NMR you're pretty much able to understand carbon-13 NMR.
EDIT ONE YEAR LATER: just realised the intensities are meant to follow pascal's triangle if not affected by overlaps/goal post things or what-not... pretend they do. lalala