I completely agree that Bandage Toss has plausible uses, but leveling Despair first is better. You shouldn't be getting into those must escape sticky situations before level 9, especially not as a tank. You should be passively farming, and pulling out ganks when a lane is over pushed (so that there is no cause for worry). That's my opinion, and I think if you perhaps play some more Amumu using both techniques you might find mine (the more boring, but effective style) slightly more useful. I am glad you responded to my criticism well, and not in a ratty way, like a lot of guide makers do. =)

Thanks for your reply Samoh, I will revamp this build soon so it links to skills and items. In regards to the skill sequence Bandage Toss (I'm learning!) is very plausible to use in jungles if you have blue or are about the head back to base, it is true that Despair helps more in jungle but Bandage Toss has more than a single use of damage. An example is you can use it to initiate, be forced to retreat and use it a few seconds later to escape through the jungle.

This is just another way to using Amumu that doesn't use the norm of levelling Bandage Toss last.

This seems very plausible

The guide is rather short, I think it needs a lot more detail before I decide to vote. You can use code's to get pictures of items, like this - Bandage Toss.

Going from Bandage toss your skill sequence is just wrong, Bandage Toss should be maxed out last, it does less damage than Tantrum. You don't need the cool down reduction, in six seconds the enemy is gone, if your hit your first Bandage Toss] you'll be good to go. It doesn't help you in the jungle at all, [[Despair helps you out most there, and with Rylai's Crystal Scepter it slows, and deals a fair amount of damage. Max Despair then Tantrum then Bandage Toss.

Also in my opinion Greater Glyph of Scaling Mana Regeneration is not as useful in the early game and late game as Greater Glyph of Scaling Magic Resist. Remember your a tank, having the first 2 blue buffs sorts out any early mana issues.

Regarding your results, they aren't actually that good. Although I don't even think result screenshots matter, you should probably get some more games with Amumu.

I suggest reading this guide, and then revamping this a lot. It is a sturdy start but it needs a lot of work.