Try:
select x.*,
avg(dailyusage) over(partition by productid order by productid, date rows between 6 preceding and current row) as rolling_avg
from (select productid, date, sum(usagecount) as dailyusage
from tbl
group by productid, date) x
Fiddle:
http://sqlfiddle.com/#!6/f674a7/4/0
Replace “avg(dailusage) over….” with sum (rather than avg) if what you really want is the sum for the past week. In your title you say you want the average but later you say you want the sum. The query should be the same other than that, so use whichever you actually want.
As was pointed out by Gordon this is basically the average of the past 6 dates in which the product was used, which might be more than just the past 6 days if there are days without any rows for that product on the table because it wasn’t used at all. To get around that you could use a date table and your products table.