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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.

 Jun 23, 2021
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( 23 +  16  + 30 +  33  + x  +  x + 2)  /  6  =  27

 

(104  +  2x)  = 27*6

 

104  +  2x   =  162

 

2x =   162   - 104

 

2x  =  58

 

x  = 58 / 2  =   29               x + 2  = 31

 

So.......16  is discarded

 

(23 +  29 +  30  +  31  +  33)  / 5   =  146 / 5   =    29.2  = new mean

 

 

cool cool cool

 Jun 23, 2021

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