# How to create a smoothed histogram and compute it's derivative magnitude in matlab

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Tolentee on 29 Feb 2016
Edited: Mike Garrity on 2 Mar 2016
How can I created a smoothed histogram in matlab and I will also like to know how I can compute it's derivative magnitude.
(Assume I want to do that for a vector e.g. y = randn(1,500))

Mike Garrity on 2 Mar 2016
Edited: Mike Garrity on 2 Mar 2016
If you have the statistics toolbox, you might want to consider ksdensity.
x = [randn(300,1); 5+randn(300,1)];
histogram(x,'Normalization','probability')
[f,xi] = ksdensity(x);
hold on
plot(xi,f)

Richa Gupta on 2 Mar 2016
If you have the Curve Fitting Toolbox, you can use the 'smooth' function for creating a smoothed histogram. For computing the derivative magnitude, you can use the 'diff' function. A sample code is below:
y = randn(1,500);
x = smooth(y);
z = diff(y);

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