Choose four number from one to five, with reprtitions allowed, to creat the largest standard deviation possible.
(1,1,5,5) The mean is 3.0 and the standard deviation is 2.0
For (1,1,1,5), the Mean is 2 and the standard deviation is sqrt 3 = 1.732
For (1,1,1,5), the Mean is 2 and the standard deviation is sqrt 3 = 1.732