McCormick was born on 29 April 1859 on Dunbar Terrace in Dumfries, Scotland, the eldest son of William McCormick, an ironmonger, and his wife, Agnes Ann Symington.[2] He was educated locally at Dumfries High School.
After graduating MA from the University of Glasgow in 1880,[3] he worked for a short time as assistant lecturer in mathematics to Hugh Blackburn before attending the University of Göttingen and the University of Marburg to study literature. On his return to Scotland, he worked as assistant lecturer in English literature to John Nichol from 1884. In 1890, McCormick was appointed as Professor of English Language and Literature by the then University College, Dundee, alongside a lectureship at the University of St Andrews. When the women only Queen Margaret College amalgamated with the University of Glasgow in 1892–93, McCormick became the head of department and lecturer on English language and literature there.
McCormick career turned towards academic administration starting in 1900 when he was asked by the General Medical Council to prepare a report on preliminary examination for medical students. The following year, he was appointed as the first secretary of the Carnegie Trust.
From 1906 until his death, McCormick held a number of government committee positions related to state university funding. Alongside his many other positions, he served as chairman of the Advisory Council for Scientific and Industrial Research from 1915.
In 1897 McCormick married Mabel Emily Cook, daughter of Sir Frederick Cook, 2nd Baronet in 1897. Together, they had one son and two daughters. They lived at Frognal Priory in Hampstead, London.