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Re: getting data for Histogram

• To: mathgroup at smc.vnet.net
• Subject: [mg80492] Re: getting data for Histogram
• From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
• Date: Thu, 23 Aug 2007 01:18:27 -0400 (EDT)
• Organization: The Open University, Milton Keynes, UK
• References: <fagthk$8re$1@smc.vnet.net>

Arkadiusz.Majka at gmail.com wrote:

> 3 years ago the following problem was given
> 
> "I assume that in the process of creating a Histogram plot,
> Mathematica must be calculating a list of BinCounts -- but how can I get at that
> list immediately after making and displaying the histogram? "
> 
> Do you know the answer?

I am not aware of anything that could pick up the data directly from the 
internal algorithms used by *Histogram*.

However, since version 6.0, one can use *BinCounts* to get the bin 
count. See 
http://reference.wolfram.com/mathematica/ref/BinCounts.html?q=BinCounts

In[1]:= << Histograms`

In[2]:= data = RandomReal[{0, 100}, {50}]

Out[2]= {96.1075, 18.0923, 96.2353, 99.5241, 34.5468, 32.116, \
39.3154, 61.3372, 99.3868, 74.1702, 84.882, 50.3428, 28.8086, 31.934, \
68.2407, 86.2068, 20.078, 63.0273, 18.6142, 64.4437, 73.6088, \
94.7681, 6.53301, 78.1354, 36.7259, 77.2206, 7.88085, 63.8245, \
11.1141, 63.8362, 72.0066, 24.7236, 99.7387, 85.3514, 86.6751, \
88.128, 32.0117, 84.6678, 16.8106, 30.1619, 3.66506, 1.06579, \
44.6632, 44.5645, 26.1511, 54.2806, 34.4001, 41.902, 73.1706, \
81.9539}

In[3]:= Histogram[data, HistogramCategories -> 5]

[... graphic deleted ...]

In[4]:= BinCounts[data, 20]

Out[4]= {8, 12, 5, 12, 13}

In[5]:= $Version

Out[5]= "6.0 for Microsoft Windows (32-bit) (June 19, 2007)"

(Note that HistogramCategories specifies the number of intervals whereas 
the second parameter of BinCounts specifies the width of each interval, 
i.e. (100 - 0) / 5 == 20 in the above example.)

-- 
Jean-Marc