One such method is graphical visualization of open data. There is little or no math involved, but the charts can immediately identify some anomalies and indicate areas that need more detailed investigation.

So you can visualize open data in a graphical way.

How to explain statistical methods to an eight-year-old child.

An introduction to researchers and their methods. 

Utilizing Gabdulwaleev's Plotter to reveal drawn data.

Sergey Shpilkin "Statistical Analysis of Elections"

Presentation at the First Roundtable of Mathematicians

Lev Krylenkov shows in his presentation on how fraud was detected in the 2014 St. Petersburg gubernatorial election.