Do chess players have high IQ?

Could you elaborate on the correlation between chess players and their IQ levels? Is there scientific evidence to suggest that individuals who excel in chess possess inherently higher intelligence quotients? Additionally, are there any factors that might contribute to this perceived association, such as the mental exercises and strategic thinking required in chess that could potentially enhance cognitive abilities? Furthermore, do all chess players necessarily possess high IQs, or is it possible for individuals with average or even below-average intelligence to become proficient in the game?