I believe it depends on the version of Frosty the Snowman you're referring to. In the classic 1969 stop-motion animated film, Frosty the Snowman is depicted wearing a top hat, vest, and a carrot for a nose. However, in other adaptations of the story, such as the 2013 live-action film starring Jackie Evancho, Frosty the Snowman wears a different outfit, including a jacket. It's worth noting that Frosty the Snowman is a fictional character and can have different appearances depending on the interpretation.