Do you consider yourself a "deep" and intelligent person?
No and no.
How would you define the term "deep?"
Wise and insightful.
...Do people in your life view you as "smart?"
I hope so. From the amount they correct and contradict me, I would guess my kids don't.
What does it mean to be "smart?"
I would say it means you are able to grasp concepts that others find difficult.
Is intelligence based on the abilty to "store" and memorize facts and figures and data?
No, that's memory.
Or is about thinking in independent ways?
I would say that is creative. Creativity and intelligence are vastly different things. Example: When Donna Nobel became a (half) Time Lord, her human creativity and innate Time Lord intellect allowed her to come up with ideas that the Doctor admitted he would have never thought of.
Just some "food for thought" on a lazy Sunday morning...
I would prefer eggs and bacon, but thanks anyway.