and being grown up in a family that were mostly employed in an XXX.
To correct the grammar:
because of.... and also because of having grown up in a family that were mostly employed in an XXX.
It is a strange verb tense. I want to learn because of having grown up in a family of...
Anyway, if you want to impress them, you should want to write something specific rather than wanting to have a particular degree. The best thing to do is describe the research you want to do. That means you should be ahead of the game. As a masters student you will have to look at a particular area of your chosen field and see what you can write that will CONTRIBUTE TO THE FIELD. So, if you really want to impress them, do not talk about your family. Talk about recent articles and books that pertain to your topics of interest.
Also, talk about some short term goals you have set for yourself. I think that is the best way.
:-)