normalizing a normal distribution

I just need to plot a gaussion distribution plot given mean (mu) and standard deviation (sigma). I used:

gauss1 = normpdf(x, mu, sigma)

But it's output its not normalized. I would like it to be normalized as probability density function. I need to plot it next to histogram normalized it by:

histogram(dataSerie, 'Normalization', 'probability')

After using normpdf it looked like:

it is clear that integral from 0 to 1 is not equal 1, so it is not probability density function.

Answer 1

[OCDER]

The normpdf returns the PDF in terms of %. To normalize to fraction, divide the output of normpdf by 100.

If you compute PDF for longer spans of X, then the sum of the PDF approaches 1 (100%). See below.

Mu = 0.5;
Sig = 0.2;
X = Mu-10*Sig:0.01:Mu+10*Sig; 
Y = normpdf(X, Mu, Sig);
sum(Y) 
  = 100 %in percentage

Yp = Y/100;
sum(Yp) 
  = 1  %in fraction

[Maksym Zawrotny]

Thanks, it exact thing I need.

[Jasmine Alvarez]

Two years later, but thank you so much! I was trying to figure out why my normpdf was summing to 16...my step size was one factor but I couldn't figure out the other.