The "Q" serial numbered duo-tone Frontier Scouts were produced in 1957-58. Alloy frame and grip frame left in the white. Chambered for 22LR only. Barrel is bored for 22LR, not 22 mag. Even though you can probably get a 22 mag cylinder to fit, don't shoot 22 mag. Some say you can get away with it, but why risk wrecking a very nice six gun, or parts of your anatomy?
"Q" series Frontier Scouts were normally shipped in a brown wood-grain cardboard box with a green interior. The presentation box that you have is likely not original to the gun.
The duo-tone Frontier Scout included an "F" serial number version from 1958-1961. Total of both types was just under 40,000 made.
The reference for Colt Fronter Scouts is "Scouts, Peacemakers and New Frontiers in .22 Caliber" by Don Wilkerson.
Enjoy your Colt.