Is it average?

Algebra Level 4

\[\large{\left \lfloor \dfrac{1}{2} \right \rfloor + \left \lceil \dfrac{1}{2} + \dfrac {1}{100} \right \rceil + \left \lfloor \dfrac{1}{2} + \dfrac {2}{100} \right \rfloor + \left \lceil \dfrac{1}{2} + \dfrac {3}{100} \right \rceil + \ldots + \left \lceil \dfrac {1}{2} + \dfrac {299}{100} \right \rceil = \ ?}\]


Inspired from this and this.
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