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a set of 6 singles digit integers has a unique mode of 2. What is the largest possilbe median of the numbers?

 Jun 14, 2020
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If they consist of single digit integers, they must be in the set:  { -9, -8, ..., -1, 0, 1, ..., 8, 9 }

If there is only one mode and that mode is 2, there must be no other digit used more than the 2 is used.

 

To get the largest possible median, try:  2, 2, 6, 7, 8, 9  which has a median of 6.5.

 Jun 14, 2020

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