Many thanks to you (and AnonyRNous monk, whomever he should be), for your prompting me in the direction of Chi Squared, the Null hypothesis and all that jazz.

After reading lots, much of which probably went over my head, I settled for an emperical study of comparing the results of 1e6 runs with a) a uniform (simple $data[ rand @data ]) pick; and b) the slightly non-uniform pick the datapoints I posted represented. The upshot was I could discern no difference in the final results of the algorithms.