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How to generate random numbers in a Gaussian distribution?

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Given A = 1 and B = 5, and knowing that the mean is 2.5 and the standard deviation is 1, I want to generate 1000 random points between A and B using a normal (Gaussian) distribution. I am unsure how to do this in MATLAB efficienctly.
Walter Roberson
Walter Roberson on 7 Feb 2023
values = mean + randn(1000,1) * sigma;
The repmat() is valid, but slower than needed for this purpose.

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Accepted Answer

Swaraj on 8 Feb 2023
You can use the randn function in MATLAB.
You can follow the following steps:
  1. Generate Random Numbers from a standard normal distribution.
  2. Scale and shift them to match the desired Mean and Standard Deviation.
Please go through the code below:
A = 1;
B = 5;
std = 1;
mean = 2.5;
step1Result = mean + std * randn(1000,1);
step2Result = min(max(step1Result,A),B);

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