MATH 2565 Lecture Notes - Box Plot, Programme For International Student Assessment, Summary Statistics
10 Jan 2013
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Pisa scores again: the median for males is slightly higher than that for females. There are two low outliers in each boxplot. The median of the differences between the mean scores for males and females is about 10. All but one country has the mean for males greater than that for females. Only one country has a mean score for females greater than that for males and that is identified as an outlier: in the boxplots below, canada, usa, and iceland are indicated by the symbols x", "xx", xxx", respectively. In the boxplots for males and females, turkey and mexico are outliers because their mean scores are unusually low. Iceland is an outlier because it has a very low value for the difference (male average female average): the five-number summaries for the male scores, female scores, and differences are given below: The minimum value, 4 for iceland, is less than q1-1. 5*iqr = .
