A list of numbers and I want to remove the extremes on both ends.
The standard deviation is calculated: 26.3 (rounded to 1 decimal)
Originals [1.1,87.8,97.2,6.8,8.1,10.8,4.9,8.1,1.9,2.8,1.2,1.2,8.7,5.8,2.1,1.9,1.4,1.2,6.6,1.4,1.3,1.5] Each Original v.s. Standard deviation [0.04,3.34,3.7,0.26,0.31,0.41,0.19,0.31,0.07,0.11,0.05,0.05,0.33,0.22,0.08,0.07,0.05,0.05,0.25,0.05,0.05,0.06]
For this case, I want to define the numbers of below criteria as outlier:
- either greater than 3 times of standard deviation
- or small than 0.05 times of standard deviation
Is this a reasonable way to consider and define outlier?
(This proposed method will be applied to lists of numbers may/not normally distributed.)