Medway, MA Salary. Medway, MA average salary is $49,734, median salary is $49,109 with a salary range from $20,800 to $91,000.Medway, MA salaries are collected from government agencies and companies. Each salary is associated with a real job position.Medway, MA salary statistics is not exclusive and is for reference only.edway, MA Salary. Medway, MA average salary is $49,734, median salary is $49,109 with a salary range from $20,800 to $91,000.