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$\mathrm{with}\left(\mathrm{Statistics}\right)\:$

This data is skewed to the right, and so the points lie above y=x.
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$\mathrm{data1}\u2254\left[1.3\,3.2\,2.1\,4.76\,7.33\,2\,0.91\,5.5\,1\,2.4\right]\:$

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$\mathrm{SymmetryPlot}\left(\mathrm{data1}\right)$

This data is skewed to the left, and so the points lie below y=x.
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$\mathrm{data2}\u2254\mathrm{Array}\left(\left[\left[1\,4\,5\,13\right]\,\left[15\,12\,14\,16\right]\right]\right)\:$

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$\mathrm{SymmetryPlot}\left(\mathrm{data2}\right)$

This data is symmetric, and so the points fall on the line y=x.
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$\mathrm{data3}\u2254\mathrm{Vector}\left(\left[1\,2\,3\,4\,5\,6\,7\,8\,9\,10\right]\right)\:$

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$\mathrm{SymmetryPlot}\left(\mathrm{data3}\right)$

Added options can customize the plot:
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$\mathrm{SymmetryPlot}\left(\mathrm{data3}\,\mathrm{symbol}=\mathrm{circle}\,\mathrm{symbolsize}=15\,\mathrm{thickness}=2\,\mathrm{axis}=\left[\mathrm{gridlines}=\left[\mathrm{linestyle}=\mathrm{dot}\right]\right]\right)$

The commands to create the plot from the Plotting Guide are
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$\mathrm{data4}\u2254\mathrm{Array}\left(\left[\left[1\,4\,5\,13\right]\,\left[15\,12\,14\,16\right]\,\left[6\,2\,14\,13\,12\right]\,\left[2\,9\,16\,12\,10\right]\,\left[3\,8\,2\,10\,14\right]\right]\right)\:$

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$\mathrm{SymmetryPlot}\left(\mathrm{data4}\right)$
