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Winnie wrote down the list 0, 0, 1, 1, 2, 2, ... 47, 47. The smallest possible integer which is the average of 47 numbers in Winnie's list is n. What is n?

 Mar 27, 2022
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If I understand the question correctly then the smallest 47 numbers will be

 

0,0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8, 9,9,10,10,11,11,12,12, ...... 22,22,23

 

average of 0,1,2, ... 22 =  [23/2(0+22) ]/23= 11

average of  0,1,2,3, ... 23  =  [24/2(0+23]/24= 11.5

avverage of 11 and  11.5  =  11.25

 Mar 27, 2022

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