In fact, I'd love to see figures for this. What are the power needs for an average household per hour as an average and how much power does the most efficient turbine produce per hour as an average?
While i don't have the average numbers for household consumption at hand, the German WP has a page about wind energy in Germany
here (in German only, sorry). What is important is the ration between installed capacity and energy fed into the grid.
We have a total installed capacity of 27,214 MW = roundabout 27 GW. If it could run 24/7 that would result in 27 * 24 * 365 = 236.520 GWh = roundabout 237 TWh per year fed into the grid. However, the real amount fed into the grid is actually roundabout 39 TWh per year. That makes for a ratio of 237 / 39 = 6.07..., or roundabout 6. So, the turbines are running only 24 / 6 = 4 hours per day on average. That means that without a storage system, you will have 20 hours per day without electricity. Using a storage system, you need to install 6 times the capacity of what would be needed for the households if the turbines could run 24/7.
As you said, simple math. And so, no, just a wind turbine can not supply all the needed electricity for any household, unless there is a storage system involved.
That's the thing when people start to use only the wattage, and completely forget about the actual produced and used energy on average. In other words, if the load is 1 MW on average, you need to install 6 turbines with 1MW each, plus a storage system. Add some overhead for the losses due the storage system as well.
Greetings,
Chris
Edit: Of course the ratio depends on where you are. The above numbers are the average for Germany. Offshore it would probably be better, but i guess still not 24 hours per day of wind.