Frustratingly, the NumPy package published to PyPI won't install on most Windows computers: Windows wheel package (.whl) on Pypi #5479
Instead:
Download the NumPy wheel for your Python version from Archived: Unofficial Windows Binaries for Python Extension Packages, NumPy
Install it from the command line:
pip install numpy-1.10.2+mkl-cp35-none-win_amd64.whl