Question: 83. Consider numerical observations x1, . . . , xn. It is frequently of interest to know whether the xis are (at least approximately) symmetrically

83. Consider numerical observations x1, . . . , xn. It is frequently of interest to know whether the xis are (at least approximately)

symmetrically distributed about some value. If n is at least moderately large, the extent of symmetry can be assessed from a stem-and-leaf display or histogram. However, if n is not very large, such pictures are not particularly informative.

Consider the following alternative. Let y1 denote the smallest xi

, y2 the second smallest xi

, and so on. Then plot the

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