what is the name of the tradiional pudding made in scotland
Yes. Christmas Pudding is another name for Plum Pudding :)
The carrot is the vegetable that is often included in a recipe for Christmas pudding. Another name for Christmas pudding is plum pudding.
Plum pudding decorated with holly is traditional. They pour brandy over it and set it on fire. On New Years, they serve clootie dumpling or black bun.