Champernowne was the only child of Francis Gawayne Champernowne (1866–1921), M.A. (Oxon.), a barrister and bursar of Keble College, Oxford, and his wife Isabel Mary, daughter of George Rashleigh, of Riseley, Horton Kirby, Kent.[4] The Champernowne family were landed gentry, of Dartington, Devon; Francis Gawayne Champernowne was a grandson of Arthur Champernowne (1767–1819), M.P. for Saltash in 1806, who, born to Rev. Richard Harington, second son of Sir James Harington, 6th Baronet, had taken his maternal grandfather's name on inheriting his estates.[5][6]
Champernowne was educated at Winchester and King's College, Cambridge, where he was a contemporary and friend of Alan Turing. After academic work there and at the London School of Economics, he was drafted into the statistical section of the prime minister's office at the beginning of the Second World War to supply quantitative information to help Winston Churchill make decisions; then, in 1941, he moved on to become a programme director in the Ministry of Aircraft Production.
His co-editors at the Economic Journal found him to be "modest, quirky and humorous".[2]
His grave is at the new church at Dartington in Devon, built by his family in the 1870s to replace the ancient church at Dartington Hall, the family seat.