House Apportionment

Allocate seats in the U.S. House of Representatives according to the following algorithms:

• Reapportionment Act of 1929 – proportional allocation of 435 seats
• Wyoming Rule – proportional allocation of a number of seats such that the ideal ratio of population per seat is equal to the population of the constituency with the smallest population
• cube root rule – proportional allocation of a number of seats equal to the smallest odd number greater than the principal cube root of the total population

Summary

	1910	1920	1930	1940	1950	1960	1970	1980	1990	2000	2010	2020
Total Population	91,569,325	105,273,049	122,093,455	131,006,184	149,895,183	178,559,219	204,053,325	225,867,174	249,022,783	281,424,177	309,183,463	331,108,434

Reapportionment Act of 1929

	1910	1920	1930	1940	1950	1960	1970	1980	1990	2000	2010	2020
Seats	435	435	435	435	435	435	435	435	435	435	435	435
Population/Seat	210,504	242,007	280,675	301,164	344,587	410,481	469,088	519,235	572,466	646,952	710,767	761,169

Wyoming Rule

	1910	1920	1930	1940	1950	1960	1970	1980	1990	2000	2010	2020
Seats	1,141	1,360	1,414	1,189	937	790	672	564	547	569	545	574
Population/Seat	80,254	77,407	86,346	110,182	159,974	226,024	303,651	400,474	455,252	494,594	567,309	576,844

Cube root rule

	1910	1920	1930	1940	1950	1960	1970	1980	1990	2000	2010	2020
Seats	451	473	497	509	533	565	589	611	631	657	677	693
Population/Seat	203,036	222,565	245,661	257,380	281,229	316,034	346,440	369,668	394,648	428,347	456,696	477,790

Data Sources

• 1910 – https://www.census.gov/library/publications/1913/dec/vol-1-population.html
• 1920 – https://www.census.gov/history/pdf/ApportionmentInformation-1920Census.pdf
• 1930 – https://www.census.gov/history/pdf/ApportionmentInformation-1930Census.pdf
• 1940 – https://www.census.gov/history/pdf/ApportionmentInformation-1940Census.pdf
• 1950 – https://www.census.gov/history/pdf/ApportionmentInformation-1950Census.pdf
• 1960 – https://www.census.gov/history/pdf/ApportionmentInformation-1960Census.pdf
• 1970 – https://www.census.gov/history/pdf/ApportionmentInformation-1970Census.pdf
• 1980 – https://www.census.gov/history/pdf/ApportionmentInformation-1980Census.pdf
• 1990 – https://www.census.gov/data/tables/1990/dec/1990-apportionment-data.html
• 2000 – https://www.census.gov/data/tables/2000/dec/2000-apportionment-data.html
• 2010 – https://www.census.gov/data/tables/2010/dec/2010-apportionment-data.html
• 2020 – https://www.census.gov/data/tables/2020/dec/2020-apportionment-data.html