A small aside. Frank, please don't quote "There are lies, damned lies and statistics" (and was that really Bismark?? That seems far too early.) Fact is, the quote is actually plain wrong. It's misuse of statistics which is the problem, not statistics itself!! And that's generally down to deliberate human distortion.

Which doesn't distract from your actual point!

G. (former Maths and - on a bad day - Statistics teacher)