My strengths are definitely on the electronics / software side; I did fine in stats in high school, but haven't done anything significant since. Thanks for the notes on tests of randomness.
If you'd like to chip in, all the data is available on github. I closed my post with a call for statisticians to come along and do a better analysis; maybe you're it! (: Glad to help you extract the roll sequence numbers if using summarize.py to pull it out of each die's summary.json is not your thing.
And yeah, that first chart was frustrating. The easiest tool to hand was Google Spreadsheets, but the choices are side-by-side bar graph and line + bar graph. As you said, clealry the wrong tool for the job, but at least it gets the point across. But that too is in github along with its source CSV if you'd like to make a better one!