How to fit a gaussian distribution curve on a bar diagram?

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Hello guys!
I have pdf of sum of two dice like data = [1/36,2/36,3/36,4/36,5/36,6/36,5/36,4/36,3/36,2/36,1/36] and sum =[2,3,4,5,6,7,8,9,10,11,12] I have darwn a bar chart using data. now I want to fit a normal distribution curve over this bar chart. But when I did it normal curve is coming out very narrow how can I spread it so that all the bar will come under normal curve. here is my plots
can you please help me to figure out this.
any help will be appreciated!
  2 个评论
Raushan
Raushan 2022-9-27
here is my script
y =[1/36,2/36,3/36,4/36,5/36,6/36,5/36,4/36,3/36,2/36,1/36];
bar(y)
hold on
p = -3:0.01:3;
q = normpdf(p,0,0.1);
plot(p,q)
after doing this my bar diagram is not coming under the curve

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Chunru
Chunru 2022-9-27
编辑:Chunru 2022-9-27
p = [1/36,2/36,3/36,4/36,5/36,6/36,5/36,4/36,3/36,2/36,1/36];
xsum =[2,3,4,5,6,7,8,9,10,11,12] ;
bar(xsum, p)
mu = sum(p.*xsum)
mu = 7.0000
sigma2 = sum(p.*(xsum -mu).^2)
sigma2 = 5.8333
hold on
plot(0:.1:13, normpdf(0:.1:13, mu, sqrt(sigma2)), 'r-')
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