No, because I don't care about averages. I care about minimum, and maybe maximum.
The worst case for representative democracy is literally Hitler. The second worst (you could argue that Hitler was a unique set of circumstances) is the dysfunctional German, Italian, or French states.
The best case is probably Switzerland (party proportions barely change, I assume because the power of parliament is diminished because of elements of direct democracy that Swiss practice).
What's the worst case for first-past-the-post democracy?