My favorite way to illustrate the difference between expected and observed values is to use US Senate data on gender distribution. Why this data? There are 100 senators, two from each state. Gender is randomly distributed. So, comparing the observed data (the actual number of women senators) to the expected value of 50 senators is a pretty intuitive, easy-to-follow example. I then immediately discuss the same O vs. E discrepancy with the House of Representatives data, which doesn't start on a nice, neat scale of 100. I have to update this every two years to stay current. If you use this example, this might be a good time to update your own lecture. I use data and visualizations from Rutergers Center for American Women and Politics . The purple bar represents the total number of women in the Senate and House of Representatives as of January 2027.