Ayr is a rural town and locality in the Shire of Burdekin, Queensland, Australia. It is the centre of a sugarcane-growing region and the admiā¦Ayr is a rural town and locality in the Shire of Burdekin, Queensland, Australia. It is the centre of a sugarcane-growing region and the administrative centre for the Burdekin Shire Council. In the 2021 census, the locality of Ayr had a population of 8,603 people.