One of the more striking results (at least to me) in Nate Silver’s “The Signal and the Noise” is the ubiquitous nature of power laws. They appear to accurately describe such randomly occurring events as earthquakes (chapter 5) to terrorist attacks (chapter 13).
A good introduction to power can be found here. I will say that a power law can describe data if, after computing an empirical cumulative distribution function, you log both axis (to create a “log – log” plot) and if the relationship appears to be linear then it is a power law.
Can a power law describe such apparently random events as indiscriminate mass shootings such as the Newtown, CT Massacre? Mother Jones (here) has a dataset that includes 62 Mass Shootings from August 1982 up to December 2012 and the number of total victims (these include injured).
Below are the two graphs I made to distinguish. The first one is just a normal ECDF, the second graph is a log – log of the first.
It appears the log – log fits the data much more accurately than the first. It therefore appears that number of victims in mass shootings follows a power law.