superjoshuanucl
17.10.2021 •
Mathematics
In how many ways can we pick a group of 3 different numbers from the group 1, 2, 3..., 500 such that one number is the average of the other two? (The order in which we pick the numbers does not matter).
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Ответ:
Work out the Mean (the simple average of the numbers)
Then for each number: subtract the Mean and square the result.
Then work out the mean of those squared differences.
Take the square root of that and we are done!