The Five-Number Summary

The five-number summary provides another way to determine the shape of the distribution.

A five-number summary consists of the following:

Smallest valueQ1MedianQ3largest value

Table 4.2 explains how the relationship among the “five numbers” allows you to recognize the shape of a data set.

Table 4.2. Relationships Among the Five Number Summary and the Type of Distribution
  Type of Distribution
 SymmetricRight-SkewedLeft-Skewed
Distance from the smallest value to the median versus the distance from the median to the largest value.Both distances are the same.The distance from the smallest value to the median is less than the distance from the median to the largest value.The distance from the smallest value to the median is ...

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