(Solved) How to plot the variance of elements in each bin of histogram?

 Data: Array of real valued numbers. (say XArray)

 To plot: A histogram superimposed with the plot of variance(/IQR) of elements     
          in each bin.
 Also, how could i plot frequency on x-axis instead of y-axis.

Sincerely

[gunjanthesystem]

(Solution) using histc to get 'binIndex', i,e. the bin index of each element in the data array. Bin index indicates in which bin that particular element was put.

        [~,binIndex]= histc(XArray,binranges);
        varMatrix=zeros(1,numberOfBins); % filled with dummy values
        for iterator=1:max(binIndex)
            varMatrix(iterator)=var(XArray(find(binIndex==iterator)));
        end
%Now the varMatrix will contains the variance for each bin.

Answer 1

[Chandrasekhar]

plot the histogram using hist command then hold the figure using hold on. then plot the variant using plot command

hist(array)
hold
plot(frequency,variance)

Answer 2

[Image Analyst]

To get the counts:

counts = hist(data, numberOfBins);

To get the variance of the counts

countVariance = var(counts);

[gunjanthesystem]

Hi, thanks, But that not what I am looking for. your answer will give the variance of the 'counts of bins'.

I need the variance of the 'elements in each bin'. The elements are numeric. It can only be done if there is way to access the elements put in each bin and not just 'how many element are in each bin (count)'

[Image Analyst]

You need to know the value that defines the start and stop value for each bin. Let's say it's v1 and v2. Then extract all the values in that range from your data

inRange = data > v1 & data < v2;

Now get the variance

dataRangeVariance = var(data(inRange));

This gets the variance of only those elements that fell into that particular bin.