There are lots of uses of statistics and data out there on the internet, both good and bad. Below are just a smattering of places where you can find interesting data analysis.
Stastistical analysis of current events - These websites aim to connect and interpret the data you see in everyday life, through an analytical lens. On each site, the content quality widely varies from article to article, so you need to be critically evaluating each article on its own merits!
NY Times feature: "What's Going on in this Graph?" One graph per week that appeared in a NY Times article - some of the graphs are quite good, some are not as good - but usually they're interesting!
The Pudding - Awesome stories told through data!
Our World in Data - Less playful than The Pudding, but full of thought-provoking data
If you discover some other good sites with statistical analysis that you find interesting, let me know!!
Bad or misleading uses of statistics
Calling bullsh*t.org - very interesting analyses of claims that appeared in newspapers, with rebuttals to what they are trying to convey. These aren't obvious mistakes!