How about writing a piece on statistics?
Things like the impact of not outs on averages, whether it is right or not to work them out that way. Whether or not you can fairly compare figures across eras. Criticisms and whether or not they are justified when you analyse beyond career figures, in say form. Whether or not a career average or form should be used in selection.
And more general mathematical analysis in how a single score, not outs or run of form can skew overall figures, yet in the bigger picture these can even out - so scoring a hundred early in your career your average might change by +/- 10runs, but as you get late into your career with more innings that the vaster number of innings makes the changes - the formula is something like R/(I+1) where R = Runs and I=Innings (Obviously 50/2 is going to be much more significant than 50/99) But that in itself brings into doubt the worth of career averages when talking about selection, when you've played 100+ Tests then whether you score 1 run or 100 your average won't change as much as when you look at it over less.