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MathGroup Archive 2005

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Re: Skewness problem

  • To: mathgroup at smc.vnet.net
  • Subject: [mg62979] Re: [mg62944] Skewness problem
  • From: Bob Hanlon <hanlonr at cox.net>
  • Date: Sat, 10 Dec 2005 06:02:49 -0500 (EST)
  • Reply-to: hanlonr at cox.net
  • Sender: owner-wri-mathgroup at wolfram.com

The distribution and statistics of the data is independent of the order of the 
data.

Needs["Statistics`DescriptiveStatistics`"];

data={0,7,7,6,6,6,5,5,4,1};

Skewness[data]==Mean[(data-Mean[data])^3]/
    StandardDeviationMLE[data]^3

True


Bob Hanlon

> 
> From: "Klaus G." <Karl_boehme_9 at msn.com>
To: mathgroup at smc.vnet.net
> Date: 2005/12/09 Fri AM 05:10:25 EST
> Subject: [mg62979] [mg62944] Skewness problem
> 
> Skewness[ {0, 7, 7, 6, 6, 6, 5, 5, 4, 1}] results in -1.04137.
> 
> Reversing the data to {1,4,5...} I expected a different skewness,
> because the "tails" are reversed.
> But again I get -1.04137.
> Is there an error in reasoning?
> 
> Klaus G.
> 
> 


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