Hi,
I made a mistake. You say that temperature is a measure of average kinetic energy, not proportional to it. If you'd like to see an example of when this is not true, take a look at the Nuclear Spins section of the Wikipedia entry on negative temperature at http://en.wikipedia.org/wiki/Negative_temperature. There the energy involved is potential. This is not at all a criticism of your video, just me being pedantic.
James