You can achieve 10 kW.h/h with 10 kW during one hour, or 600 kW during one minute and then 0 kW during the following 59 minutes... Europeans think a hundred miles is a long way. Americans think a hundred years is a long time.
And average power should still be expressed in kW.
Anyway, I know you're trying to catch me ;-) Earth provides enough to satisfy every man's need, but not every man's greed. Gandhi
If one wants to denote average power over some time frame, one should specifically say so. Also, different kernels (weighting functions) result in different output - the naive 'sum of previous n values/n' rectangle filter is very lumpy in frequency space (sinc function), instead it's better to use something monotonic like the exponential weighting function (each average is a convex combination of the current value and the previous average).
(The thing about nitpicks is that there is always someone more pedantical than you :)
