First you have to sum all those numbers. You can either do it the hard way or the easy way, which is:
Change the question to sum the numbers from 0 to 500, then divide the problem in half - 0 + 500 = 500, 1 + 499 = 500, 2 + 498 = 500, all the way to 249 + 251 = 500. So we have 500 x 250 (0 to 249 or 500 to 251), which is 125,000 then add the remaining 250 in the middle for a total of 125,250.
Divide this by 500 and the average is 250.5.
PS: If you're adding an odd number of sequential digits, the average will be the whole number in the middle of the series. Try it with 1,2,3,4,5.
2007-03-25 02:51:09
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answer #2
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answered by hznfrst 6
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total sum = 1+2+3.......+500
= (500+1) x (500/2)
= 501 x 250
= 125250
Average = 125250/500
= 250.5
OR
(500+1) /2 = 250.5
So, the ave is 250.5
2007-03-25 02:53:10
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answer #3
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answered by vertically_challenged 2
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