Question 261717: Which of the follow are true for every possible list of numbers?
(Hint: consider as an example the list: 2,2,4,5,12)
A) Half of the items on a list are above average.
B)For any list, if you take the total of those entries that are below average and take the total of those entries that are above average and then compute the average of the two totals, the result will be the average of the list.
C)Assume that you have a list with some entries not equal to the average of the list. If you take all the entries that are not equal to the average and average them, the result will equal the average.
Answer by butterfliiizzz(18)   (Show Source):
You can put this solution on YOUR website! For this problem, we will use the set of numbers given in the example to test the 3 possible answers.
First of all, let's compute the average. To do that, we will add the numbers together and then divide the sum by the number of numbers that were added together.
So we have 2 + 2 + 4 + 5 + 12 = 25 Since there were 5 numbers added together, we will divide 25 by 5 and we get 5. So 5 is the average for this set of numbers.
We can rule out A, because only 1 number in the group was above average or above 5.
For B, we add the numbers that are below average(or below 5).
That is 2 + 2 + 4 = 8.
Then the total above average is 12.
Let's average those 2 numbers together. 8 + 12 = 20 ; 20/2 = 10... 10 is not the average... 5 is the average, so we can rule out B.
For C, we have 4 numbers not equal to the average, so that satifies the first requirement. So, let's add all the other numbers and then divide by 4 to get the average, and see if it matches up with our previously determined average of 5.
2 + 2 + 4 + 12 = 20.... 20/4 = 5
So the correct answer is C.
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