A set if numbers t1,…,tn has a meanof one and all numbers are non-negative.
Show that the standard deviationcould be as large as √(n-1).
The mean = ( t1 + t2 + t3 + t4 ………tn) / n = 1.0
The standard deviation = square root (variance)
The variance can be calculated as the average of the squared difference from the mean.
Thus, variance = [(t1 – 1)^2 + (t2 – 1)^2 + (t3 – …
The expert finds the range of standard deviation when the mean is fixed.