This Vector Math mode gets the average of two vectors as expected, (A + B) / 2.
Average was previously removed due to confusing behavior. It used to add A + B then normalize the result. This did not result in an expected result.
This version calculates the average as users would expected. It adds A + B, then multiplies the result by 0.5 to divide it.
Many users would like the Average mode back in Vector Math:
https://www.reddit.com/r/blender/comments/kzy00s/
https://www.reddit.com/r/blender/comments/fatn9l/
https://blender.stackexchange.com/questions/187440/
It could be renamed to "Mean" to avoid confusion with the removed "Average" mode, since both calculate a different thing.