Gaussian Distribution

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?

[Adam Danz]

Here's a gaussian function where you can set the mean, standard deviation, amplitude, and vertical offset.

https://www.mathworks.com/matlabcentral/answers/370386-how-to-plot-a-gaussian-1d-in-matlab#answer_465773

Answer 1

[Honglei Chen]

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);

[Hein Htet Aung]

x = linspace((mu-4*sd),(mu+4*sd),1000);

makes better looking plots.

[Kunal Lakhani]

Clarification of the formula of gaussian distribution.

[Adam Danz]

@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);

Answer 2

[Sivylla Paraskevopoulou]

To learn more about normal or Gaussian distribution, read the topic Normal Distribution.

Answer 3

[Liam Walsh]

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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