
how do i create random normally distributed number array within a set range?
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yoani herrera
on 17 Feb 2017
Commented: Walter Roberson
on 18 Feb 2017
i want to create an array of 2000 values that are within the range [-5 5] and are normally distributed around 0?
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Accepted Answer
Image Analyst
on 17 Feb 2017
Edited: Image Analyst
on 17 Feb 2017
Try
sigma = 5;
data = signma * randn(1,2000);
histogram(data)

Since it's normally distributed, some may lie outside your desired range. So adjust the sigma to adjust the proportion of data that you want to be inside the [-5,5] range.
More Answers (1)
Walter Roberson
on 17 Feb 2017
pd = makedist('Normal');
t = truncate(pd, -5, 5);
r = random(t,2000,1);
Warning: the probabilities of a truncated normal distribution do not add up to 1.0 !!
2 Comments
James Tursa
on 18 Feb 2017
Edited: James Tursa
on 18 Feb 2017
doc on truncate indicates that the pdf of the output is re-normalized based on the original probability assigned to the interval, so that the probabilities of the result would in fact add up to 1.0, and the example given for the truncated normal seems to verify this. I.e., the probabilities assigned to the interval in question are scaled up slightly using the amount clipped off of the tails so that the result is a pdf.
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