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The mean absolute deviation should be always introduced to people before introducing standard deviation. When trying to figure out what the heck is the standard
by Isinlor 7y ago
The mean absolute deviation should be always introduced to people before introducing standard deviation. When trying to figure out what the heck is the standard deviation I also stumbled upon the mean absolute deviation. Now, to me, the standard deviation is the mean absolute deviation. It's just a version that is more sensitive to outliers. Otherwise, I still don't feel like I intuitively (visually) understand the standard deviation.
I feel like the standard deviation is a black box to basically everyone without statistics degree. It also bothers me that it is so widespread, because almost nobody know how to interpret this value. It seems to me like most scientists treat the standard deviation as a magical number that allows to compare spread between datasets and otherwise doesn't mean anything on it's own. I feel like a lot more insight could be gained from the mean absolute deviation.
I'm also curious how are scientific insights affected by defaulting to something that is extra-sensitive to outliers. The effect can't be big per single research, but in collective?