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But shouldn't 5% of the samples fall outside of this range? It isn't happening.So it seems highly likely that your process is not normally distributed.
We know that 99.7% of data from a normal process are expected to fall within + or - 3 sigma(standard deviations) from the mean.But if we don't know whether a set of numbers was generated from a normal process, this may not be relevant.
lowest point of expected variation and the upper point for these numbersI think I understand what you mean.
at least 1 - 1 /(K * K) fraction of values must fall within K standard deviations from the mean.See This discussion of Chebyshev's inequality
(K > 1)
You want to know what are the lowest value (A) and highest value (B) that all future values will lie between.Again, no such numbers exist. You say it is an academic problem, so did they give you a confidence interval to use? What wording does the problem use?
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