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I'm trying to see which group of data is more balanced, meaning which group of data is more equally separated (i.e. the values in each set of data are separated in a more or less equal amount).
I found this website (https://www.mathsisfun.com/data/standard-deviation-calculator.html) where it visually shows how dispersed are the values in a dataset. I have a few datasets that I would like to rank in order from the most balanced one to the least balanced.
These are the values for each dataset:
A: 28.035, 22.259, 9.69, 4.314
B: 28.035, 22.259, 13.012, 4.314
C: 28.035, 22.259, 11.774, 4.314
D: 28.035, 16.743, 13.012, 4.314
E: 28.035, 16.743, 11.774, 4.314
F: 22.259, 16.743, 13.012, 4.314
G: 22.259, 16.743, 11.774, 4.314
H: 16.743, 13.012, 4.314
I: 16.743, 11.774, 4.314
J: 22.259, 13.012, 7.034, 4.314
For example, I think that the most balanced group would be perhaps A or C while the most unbalanced one is J. But I'm not a mathematician so I'm not sure if I'm doing this right, so how would you rank them? Or perhaps this is all inaccurate and there's a better method to measure this?
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