Alex mentioned memory efficiency, and Roberto mentions convenience, and these are both good points. For a few more ideas, I'll mention speed and functionality.
Functionality: You get a lot built in with NumPy, FFTs, convolutions, fast searching, basic statistics, linear algebra, histograms, etc. And really, who can live without FFTs?
Speed: Here's a test on doing a sum over a list and a NumPy array, showing that the sum on the NumPy array is 10x faster (in this test -- mileage may vary).
from numpy import arange
from timeit import Timer
Nelements = 10000
Ntimeits = 10000
x = arange(Nelements)
y = range(Nelements)
t_numpy = Timer("x.sum()", "from __main__ import x")
t_list = Timer("sum(y)", "from __main__ import y")
print("numpy: %.3e" % (t_numpy.timeit(Ntimeits)/Ntimeits,))
print("list: %.3e" % (t_list.timeit(Ntimeits)/Ntimeits,))
which on my systems (while I'm running a backup) gives:
numpy: 3.004e-05
list: 5.363e-04