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How can we draw Histogram and SmoothHistogram together for two data sets?. I'd like to show the first data set using Histogram, and the second using SmoothHistogram.

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Here's an example:

data1 = RandomVariate[NormalDistribution[0, 1], 100];
data2 = RandomVariate[NormalDistribution[1, 1], 100];

Show[
     Histogram[data1, Automatic, "PDF"],
     SmoothHistogram[data2],
     PlotRange -> All
     ]

histogram and smooth histogram

The important bits are:

  • using "PDF" for the histogram to match the smooth histogram in height (otherwise the histogram will show counts, and completely dwarf the other plot).
  • using Show with PlotRange -> All to combine the plots, and make sure each part is shown completely.
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