Wright was born in Chicago, Illinois.[3] He was a cornetist at high school and led the 16-piece band Dukes of Swing in his 20s. He was largely self-taught on bass until his early 30s, when he studied privately with Paul Gregory and others.[2]Walter Page was Wright's idol.[1]
Wright's highest profile association was with the Dave Brubeck Quartet, which he joined in 1958. He remained with Brubeck until 1968, as part of the classic line-up with Paul Desmond and Joe Morello, and featured in the quartet's standards "Take Five" and "Blue Rondo à la Turk". He recorded more than 30 albums with the group. Brubeck himself wrote that Wright "grounded the group", allowing them "to play other tempos and do polyrhythmic things and he wouldn’t budge from this grounded beat".[4]
In 1962, he performed in Dave and Iola Brubeck's jazz musical The Real Ambassadors, which featured vocals by Louis Armstrong and Carmen McRae; the work explored, through satire, the role of musicians as cultural ambassadors during the Cold War, and the racism Black jazz musicians often endured. When Wright joined the group, concert promoters would not allow a Black musician alongside the rest of the White quartet, but Brubeck would refuse to perform without him.[4][6]
After leaving Brubeck, Wright led his own ensemble on a tour of Black colleges in 1969 and 1970, then played with Monty Alexander's trio from 1971 to 1974.[5]
In his later life, Wright headed the jazz department at the University of Cincinnati and the International Society of Bassists. He was the last surviving member of the classic Dave Brubeck Quartet line-up.[4] He died at an assisted living facility in Los Angeles on December 30, 2020, at the age of 97.[1]