All sources were pulled from the U.S. Census Bureau website:
Apportionment of Membership of the House of Representatives: 1789-2000
Apportionment Population and Number of Representatives, by State: 2010 Census
I used ggplot in R to create the graph.
1910 to 2010 was chosen due to there being a constant 435 representatives. An exception was during the 1950 census when there were briefly 437. This was due to the introduction of Hawaii and Alaska as states. It then returned to 435.
The subset of states was chosen where the range of seats over the time period was greater or equal to 8. I chose this for two reasons. It did not clutter up the graph and it showed states with large variation in representation..
Feel free to play around with the code and see what you can do with it yourself.