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The arithmetic mean of 23, 16, 30, 33 and two other numbers that differ by 2 is 27. If the smallest of these 6 numbers is discarded, find the arithmetic mean of the remaining 5 numbers.

 May 24, 2022
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27  x  6 ==162 - sum of all 6 numbers

 

162 - 23 - 16 - 30 - 33 ==60 - sum of the missing 2 numbers.

 

60 / 2 ==30 

 

30 + 1==31 - one of the missing 2 numbers

 

30 - 1 ==29 - the 2nd missing number

 

So, the 6 numbers are: 23, 16, 30, 33, 29, 31 ==162 - their total

 

162 - 16 ==146 / 5 ==29.20 - the average of the remaining 5 after removing the smallest.

 May 24, 2022

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