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

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

RELATED QUESTIONS

The average of the intergers from 200 to 400, inclusive, is how much greater than the... (answered by stanbon)
If the sum of the consecutive integers from -22 to x . Inclusive , is 72, what is... (answered by ankor@dixie-net.com)
If the sum of the consecutive integers from -22 to x, inclusive, is 72, what is the value (answered by CharlesG2)
Consider the integers from 1 to 100 inclusive. What is the difference between the sum of... (answered by nabla)
If a/b x c/d=1, what is the value of ac-bd? please include... (answered by jim_thompson5910)
If the sum of the consecutive integers from -22 to x, inclusive, is 72, what is the value (answered by bucky)
If the sum of the consecutive integers from -22 to x, inclusive, is 72, what is the value (answered by ankor@dixie-net.com)
If x is the sum of the integers from 1 to 79, inclusive, and y is the sum of the integers (answered by josgarithmetic)
A calculator is programmed to generate random integers from 1 to 50 inclusive when the... (answered by stanbon)