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Question 282032: The sum of 9 consecutive even numbers is 180. What is the result when the mean of these numbers is subtracted from the median?
Found 2 solutions by Fombitz, Mathematicians:
Answer by Fombitz(32388)   (Show Source):
Answer by Mathematicians(84)  (Show Source):
You can put this solution on YOUR website! First we need to find the sum of these 9 consecutive integers.
If we have some integer X, then (X + 1) will be the next integer, we want 9 integers total so we have:
Combining like terms we get:
 plus the sum of (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8). You can either hand calculate this sum or you can use the formula n(n + 1)/2 is the sum of any numbers. So our n in this case is 8 so we have 8 * 9/2 = 36
So we have
So our 9 terms are:
16, 17, 18, 19, 20, 21, 22, 23, and 24. The mean is the average which is the middle number which is the mean.
So mean = 20 = median, mean - median = median - mean = 0
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