Gaussian Distribution

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KB
KB 2012-2-17
编辑： Walter Roberson 2025-11-11，20:07
Hi All, I am trying to plot a amplitude Gaussian distribution in Matlab. I have only amplitude peak, mean and sigma (sd) values. The peak is corresponding to the mean. How to get a Gaussian normal plot using only that three values? What could be the code for that?

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Honglei Chen
Honglei Chen 2012-2-17
This is really just plotting an equation, for practical purpose, you can plot from -4*sd to 4*sd. Let's say mu is the mean,
x = linspace(-4*sd,4*sd,1000);
y = 1/(2*pi*sd)*exp(-(x-mu).^2/(2*sd^2));
plot(x,y);
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Kunal Lakhani
Kunal Lakhani 2016-10-20
Clarification of the formula of gaussian distribution.
Adam Danz
Adam Danz 2021-5-1
Ran in:
@Mohammed Ghouse Mohiuddin, in response to your flag > The code is incorrect, you just have to define mu and sd.
mu = 10;
sd = 4;
x = linspace(-4*sd,4*sd,1000);
y = 1/(2*pi*sd)*exp(-(x-mu).^2/(2*sd^2));
plot(x,y);

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更多回答（2 个）

Sivylla Paraskevopoulou
To learn more about normal or Gaussian distribution, read the topic Normal Distribution.
Liam Walsh
Liam Walsh 2025-11-11，18:33
Ran in:
If you have access to Statistics and Machine Learning toolbox, you can also make use of the makedist function, like so:
mu = 4; % Mean/amplitude value
sigma = 2; % Sigma/sd value
normdist = makedist("normal", "mu", 4, "sigma", 2)
normdist =
NormalDistribution Normal distribution mu = 4 sigma = 2
plot(normdist) % Automatically shows a graph of the distribution
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