iOS: If you're a statistics geek, this is mobile manna. The official Australian Bureau of Statistics (ABS) iOS app includes customisable key economic indicators, the ability to search 2011 census data by postcode for information on general demographics, and a constantly updated population projection for Australia.
The app also includes links to key sections of the ABS web site and its social media accounts. For in-depth drilling, the site is still going to be your main resource (and on a tablet, statistics are pretty accessible), but this is a handy addition for basic data without hunting through the online version. One neat trick: you can access census data for your current location.
ABS Stats is a free download for iOS devices.
ABS Stats [iTunes App Store]