The current legislative extremism of the ruling GOP majority is already legendary. And over and over again I hear from the far-left the repeated mantra that Democrats need to move further left to win elections.
The graph above illustrates why -- you don't gain any new supporters by doubling down on the territory you already have. You have to find ways to accommodate something from the center to gain ground. This is the essence of the Median Voter Theorem.
"Ah, but wait!" you say -- "the Median Voter Theorem is so fraught with assumptions. In the real world, these conditions are rarely all true!"
True, true, my astute friend. However, statistics sees to that as well. It allows us to ask what we should expect to see given many many trials and sets of conditions, such that we get an even truer, richer, weighted average than we would from simply measuring a single empirical event. The central limit theorem tells us that with sample sizes large enough, the distribution o...