SOLUTION: Can somebody help me explain the answer to a 6th grader? "The mean of a list of six numbers is 74. If I add 2 numbers to the list of the mean the list becomes 76. What is the m

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Question 868782: Can somebody help me explain the answer to a 6th grader?
"The mean of a list of six numbers is 74. If I add 2 numbers to the list of the mean the list becomes 76. What is the mean of the two numbers that I add to the list?"
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

 %286%2A74+%2B+2m%29%2F8+=+76  

|Note: 6*74 is the total of the 1st 6 numbers and 2m the total for the 2 new numbers with a mean of m.

 %286%2A74+%2B+2m%29%2F8+=+76  

 %286%2A74+%2B+2m%29=+8%2A76  

      2m = 8*76 - 6*74

       2m = 608-444

       2m = 164

       m =  82

CHECKING our answer***

 %286%2A74+%2B+164%29%2F8+=+%28444%2B164%29%2F8+=+608%2F8 =  76

Wish You the Best in your Studies.