You can use and analyse this machine learning dataset on your local computer or cloud services provided with AWS. Today, people rarely have that level of control and visceral experience of the finished product of their work.
Bureau of Labor Statistics: Many important economic indicators for the United States like unemployment and inflation can be found on the Bureau of Labor Statistics website.
How about fraternity members or HAM radio operators?
Publishing raw data and real time statistical analysis on e-journals. If you need economic census data on any industry, check out census.
Look at a billboard and instead see a virtual extension of the natural landscape. Actually, all the StackExchange data is freely available, so you could feed it more math information from both MathOverflow and the other math stackexchange.
Free your inner child social scientist. European Statistics.