Evolution is a 12-month programme available to anyone with GCSE Maths and English Grade C and above.
The apprentices will be in entry-level posts at the UK agency, working with communications planning, audio visual, display activation, performance planning and activation, research, and campaign management teams.
The students will study for a Level 3 diploma, and a Level 3 technical certificate in either creative and digital media or digital marketing and social media, depending on the department they are placed in.
Sarah Hennessy, the managing director at MEC, said: "Attracting a more diverse talent base is key to our future success.
"This apprenticeship programme offers the brightest candidates a specially created training programme and industry recognised qualification to help them achieve their career defining moment at MEC."