Experiment with angular acceleration

[aaaa202]

I'm not sure if this goes in there since it's a question about an experiment involving classical mechanics.
So I've done an experiment where I have determined for a rotating cylinder, its angular acceleration as I let a weight attached to it drop. Now each of these angular accelerations have an uncertainty, and I want to figure out the best estimation for the angular acceleration. What I did was to make an average over the angular acceleration weighted over their uncertainties. This is correct right? - I'm pretty sure, that's how it's done.
My problem is however, that I now don't know how to figure out the uncertainty for this estimated angular acceleration - how do I do that?

 

[Naty1]

Now each of these angular accelerations have an uncertainty, and I want to figure out the best estimation for the angular acceleration.

After this, I don't know what your explanation(s) means.

one approach:


http://en.wikipedia.org/wiki/Mean_squared_error