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"Provide the value for the underlying distribution of the data at the number of standard deviations given in column F."
In that regard, it's interesting to note that there is NO data value that reaches +4 sigma but it might be said that the underlying distribution could reach that value.
After all, there are only 112 values given and the probability of a value occurring at 4 sigma is low.
A more precise view might be:
I really do not know if the data is zero mean or not.
Regarding these 2 different formulas, would you please tell what EXACT DIFFERENCE, does that makes. And which one is preferred over the other, if we are trying to find the middle values and the outlier values from a data sample, by using the concept of standard deviations.
If we assume that the data is not symmetrically distributed around the mean, then does that means we cannot use Standard Deviations based concepts on this data,
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