The MMR vaccine is generally administered to children around the age of one year, with a second dose before starting school (i.e. age 4/5). The second dose is a dose to produce immunity in the small number of persons (2–5%) who fail to develop measles immunity after the first dose.accines for the mumps and rubella became available in 1967 and 1969, respectively. The three vaccines (for mumps, measles, and rubella) were combined in 1971 to become the measles-mumps-rubella (MMR) vaccine.