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The median of a set of $15$ distinct observations is $30.5$. If each of the largest $7$ observations of the set is increased by $3$, then the median of the new set.
- (a)is increased by $3$.
- (b)is decreased by $3$.
- (c)is three times the original median.
- (d)remains the same as that of the original Set.
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(D) remains the same as that of the original Set.