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How can I bin a set of data probability and plot it as a bar chart ?

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I have a set of observed data of 3 years of hourly measurements "x" (25920x1 double) with min = 0.00003484 and max = 3.8787 ;
I want to plot a figure that has the following characteristics:
1. x axis = x values, y axis = probability density
2. X should be binned for one month and plotted as a bar chart (look like a bar chart)
3. A normal pdf (based on the mean and std of the observed data) must be plotted
This is in order to compare the existing data and a normal dist or how well the fit in the graph.
I don't even know how to start, how can I do this? Any idea? I am having trouble binning the data and plotting it as a bar chart of the pdf. The normal pdf plotting is not an issue

Accepted Answer

the cyclist
the cyclist on 16 Sep 2015
If you have the Statistic and Machine Learning Toolbox, you could use the histfit command.

More Answers (1)

Image Analyst
Image Analyst on 16 Sep 2015
Decide how many bins you want and then call histcounts. For example (untested)
x = 4*randn(1, 10000);
numBins = 30;
[counts, edges] = histcounts(x, numBins);
binWidth = edges(2)-edges(1);
binCenters = edges(1:end-1) + binWidth/2;
bar(binCenters, counts, 'BarWidth', 1, 'FaceColor', 'b');
grid on;
To get the PDF, divide counts by the total number of counts. Then do the other stuff - if you still have trouble then write back.

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