SOLUTION: Find the mean of the integers from -410 to 400. explain how you got your answer.

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Question 784988: Find the mean of the integers from -410 to 400. explain how you got your answer.
Found 2 solutions by reviewermath, edjones:
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Q:
Find the mean of the integers from -410 to 400. Explain how you got your answer.
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A:
sum of the numbers
= [(-1 + 1) + (-2 + 2) + (-3 + 3) + ... + (-400 + 400)] + (-401) + (-402) + ... + (-410)
= [0 + 0 + 0 + ... + 0] + (-4055)
= -4055
There are 410 negative integers, 400 positive integers, and a zero.
There are 410 + 400 + 1 = 811 integers in all.
mean (average) = -4055/811 = highlight%28-5%29

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
The mean of all the numbers from -400 to 400 = 0
The mean of all the numbers from -410 to -401 = -405.5
10(-405.5) + 801*0 = -4055/811 = -5 the mean
.
Ed