I look on wikipedia and i don't believe it actually stands for anything.
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Matt striker
what age? "robot" is a VERY generic term. they can range from Lego mindstorms (great for students around age 8) to robotic arms (great for students around age 19). likely you're looking for something like this: http://www.parallax.com/tabid/411/Default.aspx
The official brand of Lego is the LEGO Group.
Yes, they are different.
No, there is not.