SOLUTION: The arithmetic of set of 50 numbers is 38. If two numbers 45 and 55 are discarded, the mean of the remaining set of numbers is_____.

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Question 771402: The arithmetic of set of 50 numbers is 38. If two numbers 45 and 55 are discarded, the mean of the remaining set of numbers is_____.
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
The arithmetic mean of a set of 50 numbers is 38. 
Therefore it's the same as if every number were 38.
So the sum of the numbers is 50×38 = 1900

If two numbers 45 and 55 are discarded, 

That's subtracting them both from the 1900. 1900 - 45 - 55 = 1800.
1800 is the new sum of the numbers after those 100 were discarded.

So now there are only 48 numbers after those two are discarded.
The new average is

1800%2F48 = 75%2F2 = 37.5

the mean of the remaining set of numbers is 37.5.
Edwin