How to generate Zero mean and unit variance

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I'm not sure how to generate 1024 samples of pseudo random numbers with zero mean and unit variance using rand and to verify the results with mean, std, and hist.
  2 Comments
the cyclist
the cyclist on 18 Sep 2014
What distribution do you want? Uniform? Normal? Something else?
Dick Rusell
Dick Rusell on 18 Sep 2014
I think it is supposed to be uniform.

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Accepted Answer

Roger Stafford
Roger Stafford on 18 Sep 2014
Edited: Roger Stafford on 18 Sep 2014
If you want a uniform distribution do this:
n = 1024;
x = sqrt(3)*(2*rand(n,1)-1);
The random variable x will have a statistical mean of 0 and variance of 1. Of course any given n-element sample will deviate from these. These are only the statistically expected values.
  2 Comments
Marius Hernes Brateng
Marius Hernes Brateng on 20 Oct 2020
this comes from the definition of variance. Solve this equation for a, get a = sqrt(3).

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More Answers (2)

the cyclist
the cyclist on 18 Sep 2014
Edited: the cyclist on 18 Sep 2014
randn(1024,1)
will generate 1,024 normally distributed values from a population with zero mean and unit variance.
  3 Comments
soumya dwibedy
soumya dwibedy on 16 Feb 2021
how to generate 1000 normally distributed values with (2 7 )mean and unit variance
the cyclist
the cyclist on 19 Feb 2021
It's usually better to post a new question, than a comment on a 6-year-old one (even though this is related). People won't typically see a comment buried in an old post. It was just lucky that I did.
I don't understand what you mean by "(2 7)mean". Did you you mean just "27"?

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majid
majid on 19 Sep 2014
Edited: majid on 31 May 2015
it helped me so much...thank you انجام پروژه متلب

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