Difference between revisions of "2023 AMC 8 Problems/Problem 20"
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~Star League (https://starleague.us) | ~Star League (https://starleague.us) | ||
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| + | ==Video Solution by OmegaLearn (Using Smart Sequence Analysis)== | ||
| + | https://youtu.be/qNsgNa9Qq9M | ||
Revision as of 21:50, 24 January 2023
We have the set {3, 3, 8, 16, 28}. To double the range we must find the current range, which is 
, to then the double is 
Since we dont want to change the median we need to get a value greater than 8 (as 8 would change the mode) for the smaller and 53 is fixed for the larger as anything less than 3 is not beneficial to the optimization. So taking our optimal values of 53 and 7 we have an answer of 
-apex304, SohumUttamchandani, wuwang2002, TaeKim
Animated Video Solution
~Star League (https://starleague.us)
