Another way is to use INDEX and MATCH. The first match finds the position of the last number in the range and takes 6 away from it: the second match finds the position of the last number in the range. Passing it through the INDEX function gives a reference that you can use to give a range of 7 cells for AVERAGE to work on.
=average(index(H:H,match(999,H:H)-6):index(H:H,match(999,H:H)))
So my answer is like your Link2
The big snag here is if you have a text cell in the range (like "Nothing") it is much more difficult to work out which cell to start from to get an average of 7 cells. I think I know how to do it in Excel using OFFSET but offset doesn't seem to work in the same way in Google Sheets.
However I can see there is a solution to this in your Link3 which should work for you if you change A:A to H:H and SUM to AVERAGE. I have tested it on the average of the last ten cells which includes a "Nothing" cell:
=ArrayFormula(AVERAGE(QUERY(SORT(H:H,ROW(H:H)*ISNUMBER(H:H),0),"select * limit 10")))
and it gives the correct answer 61.8.
The way array formulas work in general is that instead of passing a single value to a function you pass a whole range or array (a list of values) and the function processes them one by one. The above formula takes the whole column H:H and sorts it on the row numbers in descending order but those cells which don't contain a number give zero in the multiplication and are sorted to the bottom. Then the query takes the top (in my case) 10 cells and passes them to AVERAGE.
BTW this doesn't have to be declared as an array formula: this also works
=AVERAGE(QUERY(SORT(H:H,ROW(H:H)*ISNUMBER(H:H),0),"select * limit 10"))