As for left-right displaying a bell curve... your biggest hurdle being to define your terms

Agreed. The terms are probably more difficult to define than 'folk'. That's why I used the word 'assumption'. I used the word 'reasonable' in that every successful UK government of recent decades has concluded that appealing the 'centre ground' is essential, hence my conclusion that the centre holds the majority.

Again, you may well argue as to what that means and disagree. However, we'd only get into a pointless semantic discussion. And I'm not doing that, but I stand by what I said.