Orr was born in Taylorville, Illinois or Yale, Kansas and grew up in Taylorville during the Great Depression. Orr attended Taylorville High School under coach Dolph Stanley and in his senior year led the Tornadoes to a state championship and a 45–0 record, the first team to ever finish a season undefeated in the Illinois High School Association's history. In 2007, Orr was voted one of the "100 Legends of the IHSA Boys Basketball Tournament," recognizing his superior performance in his appearance in the tournament. After high school Orr went to the University of Illinois and was the youngest freshman to compete in three sports. After joining the United States Navy for the end of World War II, Orr returned to the college game at Beloit College. This reunited him with his high school coach Dolph Stanley, who had come to Beloit College as athletic director, head basketball and football coach. Orr was initially drafted in 1948 BAA draft by the Minneapolis Lakers of the Basketball Association of America, the precursor to the NBA. Orr did not play for the Lakers, and was again drafted the next year in the 2nd round by the St. Louis Bombers. In 1950, Orr played 21 games for the Bombers before moving to the Waterloo Hawks for 13 more games.
Coaching career
In 1951, Orr was named as head coach at Dubuque Senior High School in Dubuque, Iowa, holding the position until 1959. In 1959, Orr joined the collegiate ranks, becoming an assistant coach at Wisconsin.
UMass
Orr attained his first collegiate head coaching position in 1963 at the University of Massachusetts Amherst, commonly known as UMass, where he guided the team to 15–9 record in 1963–64.
Michigan
After one season at UMass, Orr moved to the University of Michigan in 1964, serving as an assistant under head coach Dave Strack for four seasons. In 1968 Orr was named head coach at Michigan, a position he would hold for 12 seasons. His 1973–74 team made it to the Elite Eight in the NCAA tournament and Orr was named Big Ten Coach of the Year. In 1976, Michigan was the NCAA tournament runner-up and Orr was named National Coach of the Year. Orr is the second-most winningest coach in Michigan history with 209 wins and 113 losses.
Iowa State
Orr left Michigan to become the head coach of the Big 8 ConferenceIowa State Cyclones in 1980, a program that had not participated in an NCAA tournament since the WWII era. Orr would go on lead the team to six NCAA Tournaments in 14 seasons. The surprise move to Iowa State in 1980 came about when the Iowa State athletic director called to inquire about Orr's assistant, Bill Frieder. When Orr learned how much Iowa State was willing to pay Frieder, Orr negotiated the job for himself. Iowa State initially paid Orr $45,000 annually compared to his $33,665 salary at Michigan. Frieder then would succeed Orr at Michigan. In Orr's fourth season in Ames, Orr led the Cyclones to the 1984 National Invitation Tournament–only the second postseason appearance of any sort in school history. The following season, he led the Cyclones to their first NCAA Tournament berth in 40 years. The following season, Orr's Cyclones reached the Sweet Sixteen of the 1986 NCAA Men's Division I Basketball Tournament with a second round victory over the number five ranked team in the nation, Michigan. Orr claims this was the greatest victory of his career. Orr led Iowa State to four more NCAA tournament berths before retiring from Iowa State in 1994. He remains the winningest coach in Iowa State history with 218 wins and 200 losses.
Orr's Iowa State teams won 76.7% of their games at Hilton Coliseum. Under Orr, attendance numbers more than doubled from the 6,000 fan average that preceded his arrival. The school band would play the theme from The Tonight Show as Orr entered the arena floor before each game and Orr would give a fist pump to the Iowa State crowd. Orr coached Iowa State to 20 victories over teams ranked in the top 25 at Hilton, with writers coining the term “Hilton Magic.”
Death
Orr died on December 30, 2013 at the age of 86 at Iowa Methodist Medical Center in Des Moines. Orr's death came from complications of a head injury suffered during a fall at his residence.