SOLUTION: What is the average value of the integers from -50 to 50, inclusive? Please include explanations!

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Question 631092: What is the average value of the integers from -50 to 50, inclusive?
Please include explanations!

Found 2 solutions by sachi, stanbon:
Answer by sachi(548) About Me  (Show Source):
You can put this solution on YOUR website!
What is the average value of the integers from -50 to 50, inclusive?
Please include explanations!
ans:
the series is -50,-49,-48........0......48,49,50
making pair of nos -50,50,-49,49,.....................
adding the pairs (-50+50)+(-49+49)+(-48-48)+.........=0+0+0+0+......=0 ans

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What is the average value of the integers from -50 to 50, inclusive?
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Add 1st and last: -50 + 50 = 0
Add 2nd and next to last: -49 + 49 = 0
etc till add -1 and 1 = 0
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So the sum of all those numbers is 0.
Average: 0/101 = 0 is the average value
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Cheers,
Stan H.
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