Important: The stats package has been deprecated. Use the superseding package Statistics instead.
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$\mathrm{with}\left(\mathrm{stats}\right)\:$

This data has a flatter distribution than the normal distribution.
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$\mathrm{describe}\[\mathrm{kurtosis}\]\left(\left[0\,1.0\,\mathrm{Weight}\left(2\,2\right)\,\mathrm{Weight}\left(3\,2\right)\,\mathrm{Weight}\left(4\,2\right)\,5\,6\right]\right)$

This data has about the same flatness as the normal distribution.
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$\mathrm{describe}\[\mathrm{kurtosis}\]\left(\left[0\,1.0\,\mathrm{Weight}\left(2\,2\right)\,\mathrm{Weight}\left(3\,6\right)\,\mathrm{Weight}\left(4\,2\right)\,5\,6\right]\right)$

This data is more sharply peaked that then normal distribution.
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$\mathrm{describe}\[\mathrm{kurtosis}\]\left(\left[0\,1.0\,\mathrm{Weight}\left(2\,2\right)\,\mathrm{Weight}\left(3\,20\right)\,\mathrm{Weight}\left(4\,2\right)\,5\,6\right]\right)$

Note that these three examples have a symmetrical distribution. Their skewness is then equal to zero. They are not distinguishable from the normal distribution according to the skewness, but they are according to the kurtosis.