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Family name Addyson (Addyson ) , throughout the world, is a rare last name. The surname Addyson is habitual in Afghanistan, where it is a rare surname, Singapore, where it is a very rare surname, and Venezuela, where it is an extremely rare surname. Measured by absolute frequency, this name is the most popular in Afghanistan, the United States, and Singapore. Likewise, Addyson is the forename as well as the last name.