Short story, I am using a two handed sword and have been buying a ton of training from Vilkas as I make dwarven bows for my smithing. ANyways, I went to Bilegulch mine to get some Oricalum (or however it spelled) ore and I killed the first bandit and it randomly jumped by two handed from 67 to 71. The rest of the bandit I killed provided normal experience for two handed.

What just happened? Is it a bad thing or a sign of something bad, or is it some random blessing in disguise?

I have had this happen when paying for training, but I usually have just skipped one level entirely. Smithing was the skill that went nuts for my character, and I was not using mods when I had it happen. I would look at it as a blessing.