I have two answers in my question - I will go with the first one. I am sorry for my english that I couldn't explain it that well.
I think the answer is
Switching i and 1
because if they would get switched
- the top object would fit (black square to black square and white top with black bottom to white top with black bottom).
Nevertheless this got me thinking because (when it's not switched) the
top object in the last box is "in" the top object in the first box -
which would fit nicely and wouldn't make it odd. Nevertheless - the
task is to find the MOST odd box.
- the "inner object" will fit nicely in to the whole picture. For instance on the fig a-i) the boxes 1,3,5,7 and 9 (odd numbers -
intended?) will have the same inner object - the same happens in the
fig. 1-9)
- the last object in the boxes will match (pluses in fig. a-i) and not-filled-squares in fig. 1-9))

Another answer could be to
exchange f and 2
because
that's a bit obvious. But b,d,f and h and 2,4,6 and 8 fit extremely
well (the pattern that and the circles and the "middle thing").
