The ABS website has many options for looking at the figures from the 2016 census. These links cover the Statistical Area Level 4 (SA4) for the Cairns and Townsville regions. You can use the Census site to drill down into the level of a few blocks in a neighbourhood (SA1). Note that these areas do not match Local Government suburbs exactly.
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Cairns QuickStats
Cairns SA4 QuickStats is for the greater Cairns area. You can see essential community statistics compared to the rest of Queensland and Australia at a glance.
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Cairns Community Profile
The Census Community Profiles are downloadable Excel files that contain Basic Community Profiles as well as Aboriginal and Torres Strait Islander (Indigenous) profiles.
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Queensland Regional Profiles
The Office of Economic and Statistical Research (OESR) has updated their regional profiles series with data from the 2016 census.