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3.14 Make a histogram of data sampled from some probability distribution

This example uses the normal distribution. First random data is generated, then histogram of the data is made.

Matlab do not have an option, (unless I missed it) to make a relative histogram (this is where the total area is 1) but not hard to implement this.

Mathematica 

data = RandomReal[NormalDistribution[],1000]; 
Histogram[data,30,"ProbabilityDensity", 
          ImageSize -> 300]]

pict

 

Matlab 

data = randn(1000,1); 
numberOfBins = 20; 
[freq,bin]   = hist(data,numberOfBins); 
binWidth     = (bin(end)-bin(1))/numberOfBins; 
currentArea  = sum(binWidth*freq); 
freq         = freq/currentArea; 
 
bar(bin,freq)

pict

 

Maple 

restart; 
with(Statistics): 
nSamples:=1000: 
data := Sample(RandomVariable(Normal(0, 1)), 
                                  nSamples): 
 
plots[display](Histogram(data,bincount=20, 
                 frequencyscale=relative));

pict

 

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