Simson,

Using your example I get most of the values around 0.5, and the ends 
near 2.3.  This is correct for a probability density function; the 
integral of the pdf over the range of the bins should be 1.  This way 
the pdf values as a function of x don't change with changes in the 
number of bins, apart from the change in resolution.  The probability of 
a datum appearing in any subrange is the integral of the pdf over that 
subrange.

Having the sum of the bars add to 1 would be a different sort of 
normalization.  Undoubtedly it has a name, but I don't know what it is. 
And I don't know why you were getting a y-axis up to 7.

Eric

Simson Garfinkel wrote:
> I'm plotting some histograms with hist()  --- well, actually with  
> ax.hist(), where ax is an axis --- and the "normed=1" isn't working  
> the way I would expect.
> 
> from pylab import *
> 
> data = sin(arange(0.0,100,.01))
> 
> fig = figure()
> ax  = fig.add_subplot(111)
> ax.hist(data,bins=50,normed=1,align='center')
> show()
> 
> If I do not include normed=1, then the Y scale is an actual count  
> inside each bin. (The scale goes from 1-1000).
> 
> If I include normed=1, the Y scale goes from  1 - 7.  What does that  
> mean?  normed is supposed to make the first result from ax.hist be a  
> normalized probability distribution. But I would think that it would  
> change the Y axis to be a probability as well, and it doesn't do that.
> 
> The docstrings do not give any insight, so I looked at the source  
> code. It certainly *looks* like it's plotting the probability  
> distribution. But why does the above example give a Y scale going  
> from 1 to 7? Perhaps I'm showing my lack of statistics here, but I  
> would think that a strict probability distribution would have the  
> value of all of the bars adding to 1,
> 
> Sorry to send out so many messages today. I really am trying to  
> figure this out on my own...
> 
> 
> 
> 
> 
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