I'm too lazy to find my own proof, good thing Cashew isn't.

First sale:

http://www.tf2outpost.com/trade/24483294 Sold for a DBD Waxxy

Hat is outdated, and would also be an outlier if it wasn't, lots of B/O's below it.

Total = N/A

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Second sale:

http://www.tf2outpost.com/trade/23693718 Sold for an Aces high Salt Dog (1.1 Buds) + 10 Keys

Outpost doesn't show Happy Bear in the history, but backpack.tf does http://backpack.tf/item/2606668247

Aces high Salt Dog (1.1 Buds) * 0.9 = 0.99 rounding to 1

10 / 14 = 0.7

Total = 1.7 Buds

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Third sale:

http://www.tf2outpost.com/trade/24460855 Sold for a Miami Cotton Head (2.2 Buds)

Miami Cotton Head (2.2 Buds) * 0.9 = 1.98 rounding to 2

7 / 14 = 0.5

Total = 2.5 Buds

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Foruth sale:

http://www.tf2outpost.com/trade/24580529 Added a TS Bill's (0.3 Buds) for a C9 Tyrantium (3 Buds outdated)

This would end up 2.7, given B/O's that are lower it won't matter.

Total = N/A

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Fith sale:

http://www.tf2outpost.com/trade/24309731 Both sold for 30 Treasure Keys

I don't know the ratio of Treasure Keys and TF2 Keys, but I think it's a clear outlier.

Total = N/A

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Thanks Cashew for giving this proof.