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~2300kWh/year, including heating

And how do you achieve this? What is your energy source for heating?

I have a local warm station (nahwärme) that heats water locally with electricity and it is connected to a remote heating station (Fernwärme).

I have major problems believing those numbers. Hot water alone eats up that much per year.

Hot water is often heated by gas, not electricity in Germany. Gas usage is counted and billed separately from electricity.

There is a quote of the German Federal Statistical Office and the 3+ household is close to 5k.