Even if you are not a fan of The New York Times Nate Silver's Blog called FiveThirtyEight - Political Calculus is an excellent example of Big Data at work. It contains all the elements you should expect from any Big Data effort. Lots of input in this case are the various polls conducted around the country. Then lots of analysis about the data. Including easy to understand charts and graphs that tell a story. But also the written explanation - pointing out things you might miss in a graph or detailing things a graph can never display.
So whatever your political leanings wade into this and see what Big Data looks like from a polished professional effort.