Badgers are a common form of small game. Badgers are shy, and tend to run away from humans. Butchering a

In game.
badger gives around 10 cuts of meat, and a 2 lbs skin. Badger's skin becomes fur when tanned.
Badgers are somewhat slower than other small animals and are not particularly difficult to hunt as a result, but will usually fight back if they feel pressured. They can inflict surprisingly nasty wounds for their size.
When trying to trap a bothersome badger, big deadfall traps are usually the best despite the small size of badgers. A particularly small badger, however, can only be caught in a small deadfall trap.
In v3.18stable AI badger like to eat berry, and will visit your settlement to eat them by crawling through the fence.

In real life.