The 2001 figure of 10656 kWh per household per year comes out to 1.2 kW of continuous power drawn per household, or about 30 kWh per day.
A more recent report here:
http://www.eia.doe.gov/cneaf/electricity/esr/table5.xls
quotes an average of 936 kWh per household per month, which equates to 31 kWh per day or 1.3 kW of continuous power. This corresponds to having thirteen 100W light bulbs on 24 hours a day.
In 2001, the US government stated that the average US household consumed
10656 kWh (kilowatt hour)
http://www.eia.doe.gov/emeu/recs/recs2001/enduse2001/enduse2001.html
Most of this power consumption was for air conditioning and refrigeration.