Darren New wrote:
> Invisible wrote:
>> Can anybody tell me what the value of some other statistics should 
>> hypothetically be? (Geometric mean, harmonic mean, quadratic mean, 
>> standard deviation...)
> 
> I would think if you look up the definitions and then put in the set of 
> numbers 1..k, you should come up with the answer, yes? Or is that not 
> how statistics works?

I think he is looking for the value predicated based on the probability 
distribution, not the estimated value for one particular set of data.

Quadratic mean and standard deviation should be fairly easy to find, as 
here:
http://mathworld.wolfram.com/UniformDistribution.html
Quadratic mean = sqrt(k^2/3)
Standard deviation = sqrt(k^2/12)
(Quite easy to compute with a simple integral, too).

Geometric and harmonic mean are more difficult... Because they are not 
commonly useful as far as I'm aware. But I guess the integrals can't be 
too complex for these either...

-- 
Vincent

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