Timeline for How to judge skewness based on the mean and range?
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| Feb 15, 2020 at 14:26 | answer | added | Vic Colborn | timeline score: 0 | |
| Nov 21, 2016 at 23:33 | comment | added | whuber♦ | The main problem is that in any symmetric (non-skewed) continuous distribution, the mean is certain not to lie midway between the min and the max. Even worse, with many distributions having tapering tails--such as Normal, Gamma, lognormal, Weibull, and many more forms commonly encountered in data--one or both of the min and max is so extremely variable that using it to draw any kind of conclusion is about the riskiest way one can find to analyze the data. | |
| Nov 21, 2016 at 19:09 | comment | added | Paula | Thank you all! It seems that there's nothing deep in this statement and it's mainly about where the mean is compared to min and max. | |
| Nov 21, 2016 at 10:59 | comment | added | Nick Cox | Presumably like @kjetilbhalvorsen I guess that the implication is that the maximum and minimum are known. They are not just looking at its difference. It's the ambiguity, which doesn't often bite, between (a) the range as the interval from the minimum to the maximum and (b) the range as the difference between the maximum and the minimum. Remember that many non-mathematicians (and I'm one of them too) are liable to write the minus sign as equivalent to as dash and meaning "and". I've not followed up the link, as questions here should be self-contained. | |
| Nov 21, 2016 at 10:54 | history | edited | Nick Cox | CC BY-SA 3.0 |
deleted 1 character in body; edited title
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| Nov 21, 2016 at 10:27 | answer | added | Glen_b | timeline score: 2 | |
| Nov 21, 2016 at 3:24 | comment | added | kjetil b halvorsen♦ | They probably mean just that the mean lies to the left of the centerpoint of the range interval. | |
| Nov 20, 2016 at 20:33 | history | edited | Paula | CC BY-SA 3.0 |
added the link to the paper
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| Nov 20, 2016 at 20:26 | comment | added | Jon | Strange. Can you provide the title or a link to the paper? | |
| Nov 20, 2016 at 19:50 | answer | added | Kodiologist | timeline score: 1 | |
| Nov 20, 2016 at 18:52 | history | asked | Paula | CC BY-SA 3.0 |