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If I deposit at a school, and then receive final semester grades that result in an increase in GPA (in this case, from right under median to slightly above median), could I use this as leverage to get more money since my stats are not the same?

And, follow up question, if a school says that their first offer is their "best offer", but your stats have actually changed relative to their medians, does that still apply, or is the best offer only with everything else remaining the same?