The average also includes the €50k one-room condominium. After all, not only palaces are traded.
As for the 8% interest on full financing, I think something else is meant there. Namely that the last 5% or 10% (i.e. instead of 90% or 95% financing, it's 100%) causes such a jump in conditions that you end up with 8% interest on that portion...
Here's an example, 90% at 1.5% interest, 100% at 2% interest, €100k total (completely fictitious). That means this 10% causes a 0.5% higher rate on everything; if you now apply the old interest rates to the first 90% (1350€/a), then the remaining 10% costs 6.5% interest (2000€ - 1350€, i.e. 650€ for €10k). For that, you could almost take out an installment loan to reduce the loan-to-value ratio... which is occasionally offered as well.