Armstrong posted the country's best result to that point, taking the silver medal in the platform.
White, who had won Great Britain's only previous medal in the sport, was unable to match her bronze from 1912 and took fourth place in the platform.
Eighteen swimmers, twelve men and six women, represented Great Britain in 1920.
Jeans was the only individual finalist for the country, advancing to the finals in both of the women's events and taking fourth place each time.
With four medals of each type, Great Britain was the third most successful nation in athletics, behind the United States and Finland.
Great Britain was one of two countries to send two boxers in each of the eight weight classes, along with the United States.
All of Great Britain's medals came in track cycling, with the gold coming from Lance and Ryan's tandem.
The British team's best individual result came from its only event finalist, Dalglish, who placed eighth in the sabre.
The British squad included only one team, with no gymnasts competing in the individual all-around.
The British team nevertheless took another gold medal, defeating Belgium in the semifinals and Spain in the final.
Both of the nation's boats took gold medals, without competition in the 18 foot class and over a Norwegian team in the 7 metre.
It was the nation's second appearance in the sport; Great Britain was one of three countries to compete in both Summer Olympics figure skating competitions.
The doubles competitions were Great Britain's strength, with both gold medals coming from pairs—men's and women's.
The country added a pair of silver medals in the women's and mixed doubles.
The British players also took a pair of medals in the women's singles; Holman took silver and McKane won the bronze.
Along with Sweden and the United States, Great Britain's three appearances in the five Olympic tug of war tournaments were the most of any nation.