The average weight of $45$ students in a class is $52 \, kg.$ Five of them whose average weight is $48 \, kg$ leave the class and other $5$ students whose average weight is $54 \, kg$ join the class. What is the new average weight (in $kg$) of the class?
- A$52 \frac{1}{3}$
- B$52 \frac{1}{2}$
- C$52 \frac{2}{3}$
- D$52 \frac{3}{2}$
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