MATLAB: Changing Histogram to PDF

gaussianhistogramMATLABpdf

clear all
close all
clc
M=10000;
N=100000;
figure(1)
for ii=1:N
  x =sqrt(12)*(rand(1,M) -0.5);  
  if ii==1
      mx = mean (x)
      sx2 = var(x)
      subplot(2,1,1), plot(x)
      subplot(2,1,2), hist(x,50)
  end
  y(ii) = sum(x)/sqrt(M);
end
mean (y)
var(y)
figure(2)
subplot(2,1,1), plot(y)
subplot(2,1,2), hist(y,50)
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I want to make Gaussian PDF from this histogram.
Please help me!!!!!!

Best Answer

Use histogram instead of hist.
Then use histcounts along with the pdf option to get the pdf.
h = histogram(y,50);
p = histcounts(y,50,'Normalization','pdf');
% plot it
figure
binCenters = h.BinEdges + (h.BinWidth/2);
plot(binCenters(1:end-1), p, 'r-')
[SL: fixed typo]
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