Honestly, that seems a little high to me. But you probably have more people in your house than I do. My hot water heater is an on demand electric unit. It draws 9.6 kW when on. Therefore, my ~10 minute shower uses ~1.6 kWh. Hot water use is next to nothing besides my shower. So, your 2.8 kWh/day seems a bit high to me. I do have a pretty low flow shower head though, a Niagara Conservation Earth 1.25 gpm (which I love). I suppose with a 2.5 gpm head that would make more sense.
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