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社区首页 >问答首页 >我如何在ggplot中指示箱线图的异常值的频率？

问我如何在ggplot中指示箱线图的异常值的频率？
EN

Stack Overflow用户

提问于 2020-06-03 18:00:40

回答 1查看 28关注 0票数 0

我有以下的盒子图：

它们是用下面的代码生成的：

my_xlab <- paste(levels(adpt_info$age_class),"\n(N=",table(adpt_info$age_class),")",sep="")
ggplot(adpt_info, aes(x=age_class, y=nr_trips)) + 
  geom_boxplot(varwidth = TRUE, alpha=0.2)+
  scale_x_discrete(labels=my_xlab)+
  stat_summary(fun.data = "mean_cl_normal", 
               aes(shape="mean"), 
               size=4,
               colour = "red",
               geom="point") +
  scale_shape_manual("", values=c("mean"="x"))+
  theme_minimal()

正如您所看到的，箱线图有一个alpha值，它应该指示有多少具有相同值的异常值出现。nr_trips是整数值。

我想要做的是向图中添加alpha值的图例，或者以不同的方式指示发生的情况。像这样，在我看来，它不能很好地显示分布中的差异。

谢谢你的帮助!

数据摘录：

structure(list(age_class = structure(c(4L, 6L, 3L, 6L, 5L, 3L, 
7L, 4L, 4L, 7L, 7L, 6L, 6L, 7L, 7L, 5L, 1L, 6L, 3L, 5L, 5L, 2L, 
4L, 4L, 3L, 5L, 1L, 8L, 7L, 9L, 9L, 4L, 4L, 3L, 2L, 6L, 2L, 1L, 
5L, 8L, 8L, 7L, 4L, 4L, 9L, 9L, 8L, 4L, 4L, 6L, 6L, 5L, 5L, 8L, 
4L, 6L, 7L, 5L, 1L, 1L, 5L, 4L, 5L, 4L, 3L, 3L, 4L, 4L, 7L, 7L, 
6L, 5L, 2L, 5L, 3L, 5L, 4L, 1L, 6L, 6L, 3L, 6L, 1L, 1L, 5L, 8L, 
4L, 4L, 6L, 7L, 3L, 2L, 6L, 2L, 3L, 3L, 4L, 1L, 2L, 2L, 6L, 5L, 
5L, 5L, 4L, 4L, 6L, 3L, 3L, 5L, 5L, 7L, 4L, 1L, 3L, 4L, 1L, 5L, 
6L, 5L, 4L, 4L, 4L, 5L, 5L, 6L, 5L, 7L, 3L, 2L, 7L, 4L, 5L, 4L, 
4L, 8L, 3L, 7L, 7L, 8L, 5L, 4L, 4L, 2L, 6L, 6L, 3L, 6L, 3L, 9L, 
4L, 9L, 7L, 6L, 7L, 6L, 7L, 3L, 3L, 6L, 6L, 7L, 6L, 5L, 8L, 10L, 
6L, 4L, 2L, 2L, 2L, 6L, 2L, 7L, 3L, 7L, 7L, 4L, 5L, 3L, 3L, 6L, 
3L, 8L, 5L, 3L, 3L, 6L, 6L, 4L, 7L, 2L, 3L, 5L, 5L, 7L, 8L, 6L, 
6L, 5L, 9L, 9L, 8L, 7L, 4L, 6L, 3L, 4L, 5L, 5L, 5L, 8L, 5L, 6L, 
7L, 5L, 2L, 4L, 7L, 3L, 5L, 4L, 5L, 5L, 8L, 8L, 7L, 3L, 6L, 4L, 
10L, 7L, 6L, 5L, 6L, 7L, 7L, 6L, 7L, 5L, 5L, 6L, 6L, 7L, 7L, 
5L, 7L, 5L, 5L, 4L, 6L, 7L, 3L, 6L, 6L, 3L, 6L, 4L, 6L, 9L, 6L, 
7L, 7L, 5L, 2L, 2L, 4L, 5L, 3L, 3L, 6L, 2L, 4L, 1L, 2L, 5L, 5L, 
4L, 2L, 5L, 4L, 6L, 3L, 7L, 7L, 1L, 5L, 5L, 8L, 3L, 5L, 7L, 2L, 
3L, 8L, 7L, 6L, 6L, 3L, 4L, 5L, 5L, 9L, 6L, 3L, 6L, 8L, 5L, 5L, 
2L, 5L, 5L, 2L, 6L, 5L, 5L, 5L, 5L, 4L, 1L, 8L, 5L, 6L, 5L, 2L, 
2L, 6L, 7L, 5L, 8L, 7L, 5L, 5L, 8L, 8L, 10L, 10L, 7L, 5L, 10L, 
5L, 4L, 1L, 4L, 8L, 5L, 5L, 8L, 5L, 8L, 5L, 1L, 5L, 1L, 5L, 5L, 
4L, 2L, 7L, 2L, 6L, 7L, 5L, 6L, 7L, 6L, 5L, 2L, 6L, 5L, 4L, 4L, 
5L, 5L, 2L, 6L, 5L, 5L, 1L, 5L, 1L, 6L, 1L, 7L, 7L, 5L, 8L, 6L, 
2L, 6L, 5L, 7L, 7L, 6L, 2L, 3L, 3L, 3L, 6L, 4L, 4L, 6L, 5L, 7L, 
5L, 2L, 7L, 2L, 4L, 4L, 5L, 2L, 2L, 2L, 7L, 2L, 3L, 5L, 5L, 3L, 
5L, 6L, 5L, 7L, 6L, 7L, 5L, 8L, 4L, 7L, 6L, 6L, 5L, 8L, 6L, 2L, 
5L, 5L, 2L, 6L, 4L, 7L, 5L, 3L, 4L, 4L, 4L, 6L, 4L, 4L, 8L, 8L, 
6L, 6L, 2L, 3L, 3L, 7L, 7L, 6L, 7L, 5L, 5L, 6L, 6L, 1L, 5L, 4L, 
5L, 5L, 5L, 6L, 5L, 6L, 8L, 5L, 7L, 3L, 6L, 2L, 5L, 4L, 5L, 5L, 
4L, 8L, 3L, 7L, 7L, 8L, 4L, 7L, 4L, 4L, 7L, 7L, 5L, 2L, 5L, 10L, 
5L, 5L, 2L, 2L, 9L, 6L, 2L, 7L, 6L, 4L, 8L, 7L, 3L, 6L, 8L, 8L, 
7L, 7L, 8L, 6L, 2L, 4L, 7L, 7L, 7L, 7L, 7L, 6L, 2L, 4L, 4L, 2L, 
6L, 2L, 3L, 5L, 7L, 3L, 3L, 4L, 5L, 7L, 5L, 2L, 5L, 6L, 6L, 3L, 
4L, 4L, 8L, 7L, 5L, 2L, 6L, 9L, 8L, 8L, 5L, 4L, 8L, 8L, 2L, 6L, 
2L, 3L, 6L, 9L, 5L, 9L, 5L, 1L, 5L, 4L, 5L, 8L, 7L, 7L, 1L, 7L, 
5L, 1L, 1L, 5L, 3L, 6L, 2L, 2L, 2L, 7L, 8L, 4L, 3L, 8L, 5L, 6L, 
5L, 5L, 7L, 8L, 3L, 7L, 6L, 3L, 3L, 9L, 5L, 5L, 1L, 8L, 5L, 6L, 
3L, 1L, 3L, 3L, 6L, 3L, 6L, 9L, 4L, 10L, 10L, 8L, 5L, 5L, 5L, 
5L, 2L, 5L, 3L, 5L, 5L, 6L, 6L, 5L, 3L, 3L, 7L, 7L, 5L, 4L, 7L, 
4L, 7L, 4L, 4L, 6L, 6L, 7L, 4L, 5L, 5L, 2L, 2L, 1L, 7L, 2L, 5L, 
2L, 7L, 7L, 6L, 7L, 7L, 7L, 7L, 8L, 2L, 8L, 4L, 7L, 4L, 3L, 8L, 
2L, 6L, 3L, 6L, 3L, 5L, 4L, 5L, 6L, 3L, 4L, 4L, 5L, 2L, 5L, 2L, 
2L, 5L, 5L, 6L, 6L, 8L, 7L, 7L, 5L, 6L, 7L, 6L, 6L, 4L, 4L, 8L, 
4L, 2L, 5L, 2L, 5L, 6L, 6L, 5L, 5L, 2L, 5L, 9L, 8L, 7L, 5L, 7L, 
5L, 6L, 7L, 8L, 4L, 3L, 8L, 3L, 5L, 5L, 4L, 8L, 4L, 3L, 8L, 7L, 
6L, 4L, 6L, 8L, 5L, 6L, 5L, 7L, 5L, 6L, 4L, 6L, 8L, 8L, 6L, 7L, 
4L, 4L, 4L, 5L, 4L, 8L, 4L, 5L, 4L, 5L, 2L, 3L, 2L, 2L, 5L, 5L, 
2L, 2L, 5L, 5L, 2L, 6L, 5L, 5L, 5L, 6L, 4L, 7L, 5L, 3L, 5L, 2L, 
4L, 4L, 4L, 6L, 3L, 4L, 5L, 5L, 6L, 4L, 3L, 4L, 5L, 6L, 4L, 5L, 
3L, 3L, 1L, 6L, 2L, 3L, 4L, 5L, 6L, 3L, 3L, 4L, 3L, 5L, 4L, 3L, 
4L, 8L, 3L, 3L, 3L, 4L, 7L, 5L, 5L, 5L, 6L, 4L, 4L, 4L, 6L, 2L, 
1L, 4L, 6L, 4L, 4L, 5L, 2L, 4L, 4L, 4L, 4L, 4L, 3L, 3L, 5L, 2L, 
5L, 5L, 3L, 2L, 5L, 5L, 5L, 2L, 2L, 2L, 4L, 2L, 6L, 6L, 2L, 2L, 
5L, 4L, 4L, 4L, 3L, 5L, 3L, 6L, 3L, 3L, 6L, 3L, 5L, 1L, 5L, 4L, 
1L, 5L, 5L, 4L, 4L, 5L, 4L, 7L, 6L, 3L, 5L, 3L, 5L, 4L, 7L, 7L, 
2L, 6L, 2L, 4L, 6L, 1L, 3L, 2L, 5L, 5L, 5L, 2L, 2L, 4L, 2L, 3L, 
5L, 5L, 2L, 3L, 5L, 5L, 4L, 6L, 6L, 6L, 3L, 5L, 5L, 5L, 7L, 5L, 
6L, 3L, 6L, 4L, 6L, 4L, 3L, 5L, 3L, 7L, 7L, 1L, 4L, 5L, 6L, 5L, 
3L, 5L, 4L, 4L, 6L, 6L, 6L, 5L, 5L, 5L, 7L, 5L, 4L, 4L, 5L, 7L, 
7L, 9L, 3L, 7L, 3L, 5L, 4L, 6L, 5L, 3L, 7L, 6L, 4L, 6L, 7L, 4L, 
7L, 5L, 6L, 5L, 4L, 4L, 5L, 1L, 6L, 5L, 4L, 6L, 5L, 6L, 6L, 5L, 
3L, 6L, 6L, 4L, 4L, 3L, 4L, 5L, 6L, 4L, 6L, 3L, 6L, 3L, 4L, 5L, 
4L, 4L, 6L, 6L, 3L, 5L, 3L, 5L, 1L, 5L, 8L, 6L, 4L, 6L, 5L, 4L, 
2L, 1L, 5L, 5L, 2L, 2L, 4L, 1L, 6L, 7L, 8L, 2L, 5L, 7L, 7L, 3L, 
9L, 3L, 6L, 7L, 5L, 3L, 6L, 3L, 7L, 9L, 8L, 8L, 3L, 5L, 5L, 8L, 
4L, 4L, 4L, 2L, 2L, 3L, 5L, 5L, 3L, 3L, 4L, 4L, 9L, 4L, 1L, 4L, 
4L, 2L, 5L, 9L, 7L, 3L, 4L, 1L, 4L, 1L, 4L, 4L, 6L, 7L, 9L, 6L, 
6L, 5L, 4L, 6L, 4L, 3L, 4L, 9L, 9L, 5L, 7L, 6L, 7L, 2L, 2L, 6L, 
4L, 5L, 6L, 7L, 6L, 3L, 3L, 4L, 8L, 9L, 6L, 4L, 8L, 5L, 6L, 4L, 
5L, 5L, 2L, 6L, 7L, 5L, 2L, 4L, 5L, 4L, 1L, 9L, 4L, 7L, 2L, 6L, 
5L, 4L, 1L, 4L, 1L, 4L, 6L, 3L, 6L, 7L, 4L, 6L, 4L, 5L, 1L, 4L, 
4L, 5L, 6L, 6L, 6L, 4L, 8L, 5L, 5L, 3L, 3L, 4L, 4L, 4L, 4L, 4L, 
6L, 4L, 4L, 4L, 3L, 4L, 5L, 1L, 6L, 7L, 5L, 1L, 2L, 6L, 8L, 8L, 
4L, 3L, 3L, 6L, 4L, 5L, 4L, 2L, 4L, 7L, 7L, 4L, 7L, 5L, 4L, 7L, 
8L, 3L, 9L, 2L, 5L, 5L, 2L, 3L, 7L, 4L, 7L, 7L, 4L, 6L, 4L, 4L, 
4L, 7L, 4L, 10L, 5L, 5L, 5L, 4L, 5L, 3L, 6L, 4L, 6L, 9L, 7L, 
5L, 5L, 6L, 4L, 8L, 6L, 3L, 3L, 4L, 7L, 6L, 7L, 8L, 4L, 6L, 7L, 
3L, 8L, 8L, 7L, 3L, 3L, 5L, 4L, 5L, 5L, 4L, 3L, 4L, 5L, 4L, 5L, 
1L, 4L, 4L, 4L, 7L, 6L, 3L, 7L, 4L, 2L, 9L, 9L, 8L, 2L, 3L, 6L, 
8L, 7L, 7L, 1L, 4L, 7L, 5L, 6L, 4L, 6L, 8L, 6L, 5L, 6L, 5L, 3L, 
4L, 4L, 2L, 7L, 3L, 6L, 6L, 3L, 5L, 6L, 4L, 4L, 6L, 8L, 5L, 1L, 
3L, 4L, 5L, 5L, 3L, 6L, 2L, 5L, 3L, 4L, 3L, 6L, 1L, 4L, 2L, 4L, 
3L, 4L, 3L, 4L, 2L, 4L, 2L, 6L, 4L, 6L, 2L, 7L, 3L, 5L, 2L, 5L, 
6L, 7L, 7L, 1L, 3L, 7L, 4L, 4L, 4L, 7L, 3L, 7L, 2L, 4L, 4L, 5L, 
3L, 4L, 7L, 2L, 2L, 2L, 5L, 5L, 4L, 4L, 3L, 8L, 8L, 6L, 5L, 7L, 
7L, 6L, 5L, 9L, 6L, 2L, 2L, 3L, 8L, 5L, 7L, 5L, 5L, 6L, 1L, 2L, 
5L, 4L, 5L, 2L, 5L, 4L, 4L, 6L, 6L, 4L, 2L, 5L, 7L, 4L, 1L, 4L, 
4L, 4L, 3L, 5L, 3L, 4L, 5L, 5L, 6L, 4L, 4L, 5L, 2L, 4L, 1L, 8L, 
8L, 8L, 6L, 4L, 4L, 4L, 8L, 4L, 9L, 5L, 5L, 5L, 9L, 5L, 3L, 6L, 
6L, 6L, 5L, 4L, 3L, 4L, 7L, 9L, 7L, 4L, 4L, 4L, 3L, 1L, 4L, 5L, 
5L, 5L, 1L, 6L, 2L, 3L, 5L, 3L, 4L, 5L, 5L, 2L, 7L, 6L, 2L, 5L, 
4L, 8L, 3L, 5L, 4L, 6L, 5L, 4L, 5L, 5L, 7L, 5L, 4L, 4L, 4L, 7L, 
6L, 3L, 3L, 5L, 4L, 2L, 2L, 5L, 2L, 5L, 1L, 4L, 4L, 5L, 3L, 5L, 
7L, 7L, 4L, 4L, 6L, 5L, 7L, 4L, 6L, 7L, 5L, 3L, 7L, 1L, 6L, 2L, 
3L, 3L, 3L, 3L, 4L, 4L, 4L, 8L, 5L, 3L, 6L, 9L, 6L, 6L, 4L, 9L, 
3L, 4L, 7L, 4L, 1L, 4L, 7L, 3L, 5L, 5L, 4L, 6L, 9L, 8L, 4L, 4L, 
6L, 3L, 3L, 8L, 9L, 5L, 2L, 5L, 2L, 5L, 4L, 8L, 2L, 9L, 6L, 3L, 
6L, 5L, 2L, 7L, 4L, 8L, 8L, 7L, 8L, 2L, 2L, 5L, 2L, 2L, 3L, 2L, 
6L, 8L, 9L, 3L, 5L, 6L, 7L, 6L, 4L, 8L, 2L, 8L, 5L, 2L, 4L, 4L, 
5L, 7L, 2L, 2L, 6L, 3L, 1L, 6L, 4L, 6L, 4L, 4L, 3L, 3L, 4L, 1L, 
4L, 9L, 6L, 3L, 3L, 2L, 5L, 2L, 5L, 1L, 6L, 3L, 2L, 8L, 3L, 6L, 
2L, 5L, 2L, 5L, 5L, 7L, 3L, 4L, 1L, 2L, 9L, 4L, 3L, 3L, 6L, 1L, 
2L, 6L, 3L, 7L, 3L, 6L, 7L, 7L, 9L, 4L, 6L, 4L, 1L, 3L, 4L, 6L, 
2L, 5L, 6L, 6L, 4L, 5L, 2L, 6L, 8L, 8L, 8L, 2L, 6L, 2L, 5L, 4L, 
6L, 3L, 5L, 7L, 3L, 4L, 5L, 9L, 8L, 8L, 4L, 6L, 4L, 3L, 5L, 3L, 
3L, 4L, 9L, 4L, 4L, 2L, 2L, 5L, 2L, 3L, 8L, 8L, 3L, 5L, 1L, 6L, 
9L, 4L, 3L, 4L, 3L, 8L, 7L, 4L, 5L, 6L, 5L, 4L, 2L, 8L, 6L, 5L, 
5L, 6L, 3L, 5L, 6L, 3L, 6L, 2L, 4L, 4L, 5L, 4L, 1L, 5L, 5L, 1L, 
7L, 6L, 3L, 7L, 4L, 6L, 3L, 6L, 6L, 7L, 4L, 6L, 5L, 6L, 5L, 5L, 
2L, 4L, 5L, 6L, 3L, 5L, 3L, 3L, 6L, 6L, 5L, 5L, 3L, 4L, 9L, 1L, 
2L, 4L, 5L, 3L, 4L, 4L, 3L, 6L, 2L, 4L, 4L, 6L, 5L, 6L, 6L, 3L, 
3L, 7L, 6L, 6L, 7L, 6L, 3L, 5L, 2L, 5L, 7L, 9L, 1L, 8L, 8L, 6L, 
9L, 5L, 4L, 1L, 2L, 7L, 6L, 8L, 5L, 3L, 3L, 6L, 7L, 7L, 5L, 3L, 
3L, 4L, 5L, 1L, 5L, 6L, 5L, 7L, 5L, 8L, 4L, 3L, 8L, 4L, 5L, 3L, 
5L, 4L, 4L, 6L, 4L, 9L, 6L, 6L, 3L, 6L, 8L, 6L, 5L, 6L, 6L, 4L, 
6L, 5L, 4L, 8L, 8L, 5L, 5L, 3L, 2L, 5L, 8L, 3L, 7L, 6L, 4L, 3L, 
6L, 5L, 5L, 7L, 4L, 5L, 6L, 8L, 5L, 6L, 4L, 4L, 9L, 6L, 5L, 8L, 
5L, 5L, 6L, 2L, 5L, 7L, 5L, 4L, 9L, 7L, 5L, 9L, 5L, 4L, 3L, 7L, 
6L, 7L, 6L, 3L, 4L, 6L, 8L, 5L, 6L, 2L, 3L, 4L, 4L, 7L, 4L, 4L, 
7L, 6L, 4L, 8L, 8L, 5L, 4L, 5L, 3L, 3L, 6L, 6L, 8L, 3L, 5L, 4L, 
3L, 5L, 6L, 8L, 4L, 6L, 6L, 6L, 7L, 5L, 3L, 5L, 8L, 7L, 5L, 6L, 
3L, 5L, 5L, 5L, 6L, 5L, 4L, 7L, 8L, 10L, 8L, 7L, 8L, 3L, 9L, 
3L, 8L, 3L, 3L, 4L, 7L, 4L, 3L, 2L, 3L, 6L, 5L, 6L, 6L, 3L, 4L, 
4L, 3L, 7L, 2L, 4L, 4L, 2L, 5L, 1L, 4L, 6L, 7L, 2L, 2L, 2L, 3L, 
3L, 2L, 3L, 6L, 6L, 4L, 4L, 3L, 5L, 3L, 5L, 4L, 2L, 5L, 2L, 4L, 
6L, 4L, 3L, 4L, 3L, 7L, 6L, 6L, 5L, 5L, 3L, 4L, 4L, 4L, 6L, 2L, 
3L, 1L, 5L, 5L, 6L, 6L, 2L, 8L, 8L, 4L, 3L, 8L, 5L, 2L, 4L, 4L, 
3L, 5L, 6L, 6L, 3L, 2L, 2L, 4L, 4L, 5L, 5L, 2L, 7L, 7L, 4L, 4L, 
4L, 3L, 2L, 5L, 4L, 4L, 6L, 9L, 7L, 9L, 6L, 2L, 3L, 5L, 8L, 7L, 
6L, 6L, 3L, 4L, 1L, 8L, 6L, 3L, 3L, 2L, 5L, 4L, 4L, 3L, 1L, 4L, 
4L, 7L, 2L, 5L, 5L, 3L, 4L, 4L, 3L, 4L, 4L, 7L, 4L, 4L, 6L, 4L, 
6L, 1L, 4L, 6L, 5L, 3L, 6L, 3L, 6L, 6L, 5L, 2L, 1L, 3L, 2L, 4L, 
5L, 3L, 6L, 2L, 5L, 4L, 3L, 3L, 6L, 3L, 6L, 4L, 3L, 5L, 3L, 4L, 
3L, 5L, 2L, 4L, 3L, 7L, 6L, 4L, 3L, 2L, 5L, 4L, 4L, 5L, 3L, 4L, 
4L, 4L, 4L, 4L, 3L, 7L, 5L, 4L, 3L, 5L, 7L, 9L, 5L, 7L, 1L, 6L, 
5L, 3L, 2L, 5L, 8L, 6L, 3L, 2L, 3L, 4L, 4L, 4L, 7L, 7L, 5L, 3L, 
2L, 10L, 3L, 3L, 3L, 7L, 7L, 7L, 5L, 4L, 8L, 9L, 3L, 4L, 4L, 
4L, 7L, 3L, 4L, 7L, 7L, 5L, 6L, 8L, 7L, 5L, 4L, 2L, 5L, 3L, 3L, 
2L, 5L, 5L, 1L, 8L, 3L, 4L, 9L, 6L, 7L, 3L, 2L, 5L, 6L, 6L, 8L, 
5L, 5L, 6L, 6L, 3L, 4L, 4L, 5L, 3L, 5L, 6L, 6L, 4L, 2L, 6L, 4L, 
2L, 3L, 2L, 2L, 5L, 7L, 3L, 3L, 3L, 3L, 3L, 2L, 3L, 3L, 3L, 5L, 
6L, 5L, 3L, 7L, 6L, 4L, 4L, 5L, 7L, 2L, 2L, 4L, 4L, 4L, 1L, 7L, 
7L, 3L, 2L, 4L, 3L, 3L, 3L, 3L, 3L, 4L, 4L, 3L, 4L, 5L, 6L, 2L, 
2L, 5L, 2L, 2L, 7L, 4L, 4L, 4L, 6L, 6L, 5L, 4L, 8L, 8L, 7L, 6L, 
7L, 5L, 4L, 3L, 7L, 1L, 4L, 5L, 5L, 3L, 2L, 1L, 4L, 1L, 6L, 3L, 
4L, 8L, 5L, 6L, 4L, 6L, 1L, 5L, 3L, 5L, 5L, 2L, 7L, 7L, 3L, 3L, 
6L, 5L, 1L, 5L, 4L, 4L, 7L, 4L, 4L, 3L, 5L, 8L, 4L, 2L, 4L, 2L, 
5L, 8L, 6L, 3L, 6L, 3L, 4L, 3L, 7L, 4L, 8L, 5L, 5L, 1L, 5L, 2L, 
3L, 4L, 8L, 6L, 6L, 2L, 8L, 7L, 6L, 4L, 6L, 8L, 6L, 6L, 6L, 5L, 
3L, 8L, 4L, 5L, 4L, 5L, 3L, 3L, 5L, 4L, 5L, 5L, 5L, 7L, 7L, 7L, 
6L, 4L, 4L, 7L, 4L, 4L, 4L, 3L, 2L, 3L, 5L, 3L, 3L, 5L, 2L, 1L, 
5L, 5L, 5L, 5L, 3L, 5L, 5L, 5L, 5L, 2L, 5L, 7L, 9L, 4L, 5L, 4L, 
4L, 4L, 5L, 2L, 2L, 5L, 7L, 3L, 3L, 2L, 3L, 7L, 7L, 6L, 3L, 2L, 
2L, 3L, 2L, 5L, 6L, 6L, 4L, 7L, 3L, 4L, 4L, 3L, 4L, 5L, 6L, 6L, 
3L, 3L, 3L, 6L, 2L, 5L, 5L, 3L, 5L, 7L, 6L, 8L, 4L, 3L, 2L, 3L, 
8L, 3L, 4L, 4L, 5L, 3L, 8L, 4L, 7L, 5L, 7L, 5L, 4L, 4L, 9L, 7L, 
4L, 6L, 6L, 4L, 4L, 4L, 3L, 3L, 4L, 7L, 7L, 3L, 6L, 3L, 2L, 5L, 
4L, 5L, 2L, 4L, 7L, 6L, 8L, 3L, 5L, 5L, 3L, 3L, 2L, 7L, 5L, 2L, 
4L, 8L, 8L, 5L, 3L, 4L, 7L, 8L, 4L, 8L, 4L, 3L, 6L, 3L, 5L, 4L, 
5L, 7L, 3L, 3L, 7L, 7L, 3L, 5L, 10L, 7L, 7L, 4L, 5L, 7L, 2L, 
9L, 6L, 4L, 4L, 3L, 4L, 3L, 5L, 4L, 5L, 4L, 8L, 6L, 3L, 4L, 9L, 
3L, 4L, 6L, 4L, 4L, 4L, 7L, 7L, 6L, 5L, 8L, 3L, 7L, 3L, 4L, 6L, 
2L, 2L, 6L, 4L, 5L, 6L, 3L, 4L, 9L, 6L, 4L, 4L, 7L, 7L, 5L, 7L, 
7L, 6L, 6L, 6L, 4L, 5L, 4L, 3L, 7L, 6L, 6L, 6L, 3L, 3L, 7L, 5L, 
4L, 5L, 8L, 5L, 4L, 6L, 3L, 8L, 5L, 4L, 4L, 4L, 7L, 9L, 4L, 8L, 
3L, 4L, 3L, 6L, 5L, 1L, 4L, 9L, 5L, 4L, 6L, 3L, 3L, 6L, 5L, 6L, 
7L, 7L, 7L, 7L, 3L, 8L, 5L, 8L, 4L, 6L, 5L, 3L, 7L, 4L, 7L, 6L, 
5L, 6L, 8L, 9L, 6L, 7L, 4L, 4L, 6L, 4L, 4L, 8L, 4L, 8L, 6L, 6L, 
4L, 3L, 7L, 4L, 9L, 4L, 3L, 7L, 9L, 4L, 5L, 2L, 3L, 3L, 6L, 3L, 
5L, 2L, 6L, 2L, 10L, 5L, 3L, 4L, 6L, 3L, 3L, 6L, 8L, 4L, 4L, 
2L, 5L, 3L, 3L, 5L, 6L, 4L, 6L, 6L, 4L, 2L, 2L, 2L, 6L, 2L, 3L, 
1L, 3L, 3L, 7L, 1L, 2L, 7L, 4L, 6L, 4L, 1L, 6L, 4L, 4L, 4L, 5L, 
5L, 8L, 5L, 2L, 2L, 4L, 5L, 5L, 8L, 6L, 4L, 3L, 5L, 3L, 7L, 7L, 
9L, 1L, 5L, 5L, 4L, 5L, 1L, 7L, 4L, 4L, 5L, 1L, 5L, 2L, 6L, 3L, 
5L, 6L, 4L, 6L, 6L, 3L, 3L, 5L, 4L, 3L, 6L, 6L, 7L, 3L, 3L, 3L, 
5L, 3L, 5L, 7L, 3L, 6L, 6L, 8L, 4L, 1L, 4L, 7L, 1L, 6L, 2L, 2L, 
6L, 2L, 6L, 5L, 2L, 7L, 2L, 6L, 2L, 5L, 6L, 3L, 3L, 1L, 3L, 4L, 
4L, 1L, 5L, 8L, 5L, 4L, 4L, 3L, 3L, 6L, 6L, 6L, 4L, 2L, 2L, 7L, 
8L, 3L, 8L, 4L, 8L, 4L, 4L, 7L, 2L, 5L, 4L, 2L, 1L, 5L, 4L, 2L, 
1L, 1L, 4L, 2L, 6L, 5L, 7L, 6L, 4L, 4L, 5L, 4L, 2L, 2L, 6L, 2L, 
4L, 4L, 3L, 3L, 4L, 6L, 5L, 2L, 7L, 7L, 7L, 3L, 9L, 8L, 5L, 5L, 
5L, 2L, 3L, 7L, 5L, 2L, 5L, 5L, 2L, 4L, 6L, 5L, 2L, 8L, 5L, 6L, 
3L, 4L, 4L, 4L, 5L, 6L, 6L, 7L, 4L, 5L, 2L, 3L, 2L, 3L, 3L, 4L, 
4L, 6L, 8L, 7L, 1L, 4L, 4L, 5L, 5L, 2L, 5L, 3L, 3L, 5L, 2L, 5L, 
6L, 6L, 5L, 5L, 9L, 2L, 6L, 6L, 4L, 4L, 5L, 4L, 4L, 5L, 7L, 5L, 
4L, 8L, 3L, 6L, 3L, 7L, 2L, 2L, 5L, 3L, 6L, 6L, 1L, 4L, 4L, 3L, 
6L, 6L, 4L, 8L, 5L, 5L, 4L, 1L, 2L, 4L), .Label = c("10", "20", 
"30", "40", "50", "60", "70", "80", "90", "100", "110"), class = "factor"), 
    nr_trips = c(2, 2, 3, 3, 4, 2, 2, 2, 2, 3, 3, 3, 6, 5, 4, 
    3, 4, 3, 3, 3, 4, 3, 3, 2, 3, 3, 2, 3, 3, 4, 3, 3, 4, 3, 
    5, 7, 2, 3, 3, 3, 3, 6, 3, 7, 2, 2, 2, 3, 8, 3, 4, 3, 3, 
    4, 2, 3, 4, 3, 2, 2, 4, 4, 4, 3, 3, 3, 2, 5, 4, 4, 3, 3, 
    5, 5, 3, 3, 3, 3, 3, 4, 3, 3, 2, 3, 4, 3, 7, 4, 4, 2, 3, 
    3, 3, 2, 5, 3, 3, 2, 3, 5, 3, 3, 4, 3, 2, 5, 2, 5, 7, 3, 
    6, 3, 5, 2, 8, 4, 3, 3, 2, 3, 2, 3, 3, 5, 3, 3, 7, 3, 2, 
    4, 3, 3, 3, 6, 4, 2, 3, 3, 4, 2, 3, 3, 4, 2, 4, 4, 4, 4, 
    4, 2, 4, 3, 4, 5, 2, 5, 2, 3, 4, 2, 5, 5, 3, 5, 4, 3, 3, 
    2, 2, 3, 4, 4, 2, 2, 6, 2, 2, 2, 5, 3, 2, 2, 2, 3, 3, 2, 
    2, 5, 2, 2, 3, 2, 2, 2, 3, 2, 2, 5, 2, 4, 2, 6, 4, 2, 4, 
    3, 2, 4, 3, 3, 3, 2, 5, 2, 3, 2, 3, 3, 3, 3, 3, 3, 2, 2, 
    4, 3, 3, 3, 2, 3, 3, 4, 2, 9, 5, 2, 3, 4, 3, 5, 3, 3, 3, 
    2, 6, 3, 3, 2, 2, 2, 2, 3, 2, 4, 2, 4, 4, 3, 4, 2, 2, 2, 
    2, 3, 3, 4, 3, 2, 3, 2, 7, 2, 3, 3, 3, 5, 3, 3, 4, 3, 4, 
    3, 2, 3, 5, 2, 4, 3, 2, 2, 3, 8, 2, 3, 3, 3, 3, 2, 2, 3, 
    3, 3, 2, 3, 2, 3, 2, 2, 5, 3, 2, 5, 2, 4, 5, 5, 4, 3, 4, 
    2, 5, 4, 4, 2, 2, 4, 2, 4, 2, 3, 3, 7, 4, 2, 3, 2, 4, 3, 
    5, 2, 3, 2, 2, 4, 4, 7, 4, 3, 3, 4, 5, 2, 2, 2, 5, 3, 4, 
    3, 3, 4, 7, 5, 3, 5, 5, 3, 2, 5, 3, 3, 4, 3, 3, 3, 2, 2, 
    3, 5, 4, 3, 2, 5, 4, 3, 2, 2, 5, 3, 2, 3, 3, 5, 4, 2, 4, 
    3, 2, 5, 5, 5, 6, 5, 3, 3, 2, 2, 3, 2, 2, 3, 4, 5, 2, 2, 
    4, 4, 4, 4, 7, 2, 2, 3, 3, 3, 4, 4, 3, 3, 2, 4, 4, 3, 5, 
    4, 2, 4, 3, 2, 2, 3, 3, 3, 5, 2, 2, 4, 3, 3, 5, 3, 3, 2, 
    3, 6, 3, 5, 2, 3, 5, 3, 5, 3, 2, 2, 3, 2, 3, 5, 3, 3, 2, 
    3, 4, 2, 4, 3, 3, 4, 3, 3, 3, 3, 5, 2, 3, 3, 2, 2, 5, 3, 
    3, 3, 5, 4, 3, 3, 2, 5, 3, 3, 5, 4, 3, 3, 3, 3, 3, 3, 4, 
    3, 2, 3, 5, 4, 5, 2, 3, 3, 2, 5, 2, 3, 5, 4, 2, 4, 6, 5, 
    2, 3, 3, 2, 4, 5, 4, 2, 4, 3, 6, 3, 3, 2, 3, 3, 2, 6, 2, 
    4, 2, 3, 5, 2, 3, 3, 3, 3, 4, 3, 3, 3, 3, 5, 2, 2, 4, 4, 
    9, 2, 4, 2, 3, 3, 4, 2, 2, 2, 4, 2, 2, 2, 3, 2, 2, 5, 2, 
    4, 3, 3, 8, 2, 4, 4, 3, 5, 4, 6, 2, 4, 2, 3, 4, 3, 2, 4, 
    6, 2, 4, 3, 3, 2, 2, 3, 6, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 
    2, 5, 3, 2, 5, 2, 5, 3, 2, 6, 2, 5, 2, 3, 4, 4, 2, 3, 2, 
    3, 2, 2, 4, 3, 6, 4, 3, 7, 3, 6, 4, 2, 3, 6, 3, 3, 3, 3, 
    3, 2, 3, 4, 3, 3, 2, 3, 5, 3, 2, 2, 5, 5, 4, 4, 3, 3, 3, 
    2, 4, 6, 5, 2, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 7, 4, 
    3, 3, 4, 2, 2, 4, 5, 3, 4, 2, 2, 4, 2, 4, 6, 4, 3, 3, 5, 
    3, 2, 7, 6, 3, 2, 2, 3, 2, 6, 2, 2, 3, 4, 3, 3, 3, 3, 2, 
    3, 5, 4, 2, 2, 3, 4, 5, 3, 3, 3, 3, 3, 5, 2, 3, 5, 5, 4, 
    3, 3, 2, 2, 3, 4, 2, 3, 2, 2, 4, 3, 3, 5, 4, 2, 3, 3, 3, 
    2, 3, 3, 2, 5, 2, 2, 2, 4, 2, 3, 3, 6, 4, 4, 2, 2, 2, 3, 
    3, 3, 2, 3, 2, 3, 3, 2, 4, 2, 5, 3, 3, 3, 3, 4, 2, 3, 3, 
    3, 3, 2, 3, 2, 5, 3, 2, 3, 3, 4, 3, 6, 3, 3, 2, 2, 2, 3, 
    3, 2, 2, 2, 7, 2, 3, 4, 5, 3, 5, 3, 3, 4, 4, 3, 2, 3, 2, 
    2, 3, 5, 2, 3, 5, 4, 3, 3, 6, 2, 5, 3, 3, 4, 3, 3, 4, 3, 
    3, 3, 2, 3, 2, 2, 4, 3, 3, 2, 2, 5, 4, 2, 4, 4, 5, 2, 3, 
    2, 3, 2, 3, 3, 5, 3, 3, 3, 6, 4, 6, 4, 6, 3, 2, 2, 2, 2, 
    2, 5, 3, 2, 2, 3, 3, 3, 3, 3, 6, 4, 2, 2, 3, 3, 2, 2, 2, 
    3, 2, 2, 2, 5, 3, 4, 4, 3, 2, 2, 3, 2, 3, 3, 2, 2, 3, 4, 
    3, 4, 2, 2, 4, 3, 4, 3, 2, 2, 3, 2, 2, 3, 3, 6, 3, 2, 3, 
    3, 2, 3, 2, 3, 2, 2, 3, 4, 3, 3, 2, 4, 4, 2, 3, 4, 3, 5, 
    3, 2, 2, 3, 3, 4, 2, 3, 4, 3, 2, 4, 2, 3, 4, 3, 3, 2, 2, 
    3, 4, 3, 2, 3, 2, 3, 2, 2, 4, 3, 3, 2, 2, 4, 3, 3, 3, 3, 
    2, 2, 3, 3, 2, 5, 2, 3, 2, 2, 4, 5, 4, 2, 3, 3, 4, 2, 2, 
    3, 2, 5, 2, 3, 2, 3, 5, 2, 2, 5, 2, 2, 2, 3, 3, 5, 3, 4, 
    4, 2, 3, 2, 2, 7, 2, 3, 4, 3, 2, 2, 4, 3, 2, 2, 2, 4, 2, 
    2, 3, 2, 3, 2, 5, 3, 4, 4, 2, 2, 4, 3, 4, 2, 2, 5, 3, 2, 
    3, 2, 3, 4, 3, 4, 2, 3, 2, 3, 3, 2, 2, 4, 5, 2, 3, 3, 2, 
    4, 4, 4, 2, 3, 3, 5, 2, 3, 2, 5, 3, 2, 2, 4, 3, 2, 4, 4, 
    3, 4, 6, 3, 3, 2, 6, 2, 2, 8, 3, 3, 3, 4, 3, 3, 6, 2, 3, 
    3, 3, 3, 2, 4, 3, 3, 5, 5, 6, 3, 7, 4, 3, 2, 7, 3, 3, 3, 
    3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 2, 5, 3, 3, 3, 5, 
    4, 3, 2, 3, 2, 5, 4, 3, 3, 4, 4, 2, 2, 3, 2, 3, 2, 2, 2, 
    2, 3, 4, 4, 3, 3, 3, 2, 4, 3, 2, 3, 4, 3, 2, 3, 2, 4, 5, 
    2, 2, 2, 3, 6, 6, 3, 2, 4, 3, 2, 2, 3, 4, 4, 3, 2, 4, 2, 
    2, 2, 3, 3, 3, 3, 3, 5, 2, 3, 5, 4, 4, 3, 3, 4, 4, 2, 6, 
    4, 3, 3, 3, 4, 2, 2, 2, 3, 3, 3, 6, 2, 2, 3, 5, 2, 5, 3, 
    2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 4, 2, 3, 3, 4, 4, 2, 3, 
    3, 2, 2, 3, 2, 2, 5, 3, 2, 3, 3, 3, 2, 2, 2, 4, 3, 2, 2, 
    2, 2, 4, 2, 2, 4, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    3, 2, 3, 2, 2, 2, 3, 3, 2, 4, 2, 2, 2, 2, 3, 4, 3, 3, 3, 
    3, 2, 2, 2, 2, 3, 2, 4, 3, 3, 3, 4, 4, 3, 2, 2, 3, 5, 5, 
    4, 2, 2, 3, 2, 4, 3, 2, 2, 2, 5, 3, 4, 3, 5, 3, 4, 3, 2, 
    5, 7, 3, 3, 2, 3, 2, 5, 3, 5, 2, 2, 2, 4, 3, 3, 3, 3, 3, 
    5, 3, 6, 2, 3, 4, 6, 3, 2, 4, 3, 3, 2, 3, 6, 3, 4, 2, 4, 
    6, 7, 4, 3, 2, 3, 3, 4, 2, 2, 3, 2, 5, 2, 2, 2, 3, 3, 3, 
    2, 3, 2, 3, 2, 4, 2, 5, 2, 2, 4, 2, 3, 4, 4, 3, 3, 2, 4, 
    3, 2, 3, 3, 3, 3, 2, 6, 2, 3, 2, 2, 3, 3, 3, 3, 3, 4, 7, 
    3, 2, 3, 2, 2, 2, 3, 3, 3, 4, 3, 2, 3, 5, 3, 2, 5, 3, 4, 
    3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 5, 3, 2, 3, 
    3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 4, 5, 4, 2, 5, 2, 3, 
    3, 3, 2, 2, 2, 2, 2, 3, 3, 3, 3, 5, 3, 2, 3, 3, 3, 5, 3, 
    2, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 7, 2, 
    2, 4, 5, 2, 6, 3, 2, 2, 3, 3, 3, 2, 3, 2, 2, 3, 2, 3, 2, 
    4, 2, 3, 3, 2, 3, 3, 5, 3, 2, 2, 5, 2, 4, 2, 3, 2, 4, 2, 
    3, 4, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 4, 3, 
    3, 2, 3, 3, 5, 7, 5, 2, 4, 3, 4, 5, 3, 3, 3, 3, 2, 2, 3, 
    2, 2, 3, 4, 3, 4, 4, 4, 2, 5, 3, 3, 2, 2, 3, 4, 3, 2, 4, 
    3, 2, 3, 2, 2, 3, 3, 4, 3, 3, 3, 4, 6, 2, 4, 3, 2, 5, 3, 
    2, 3, 2, 2, 4, 2, 3, 2, 4, 3, 3, 3, 3, 3, 3, 4, 2, 3, 2, 
    5, 8, 2, 2, 3, 6, 3, 3, 3, 3, 2, 2, 2, 4, 2, 4, 3, 3, 2, 
    3, 2, 3, 4, 2, 3, 3, 4, 2, 3, 4, 4, 2, 2, 2, 4, 3, 3, 3, 
    4, 4, 4, 2, 3, 2, 3, 3, 2, 8, 3, 2, 3, 3, 3, 2, 3, 2, 3, 
    2, 3, 5, 4, 2, 2, 3, 10, 3, 4, 3, 2, 2, 3, 3, 2, 5, 3, 3, 
    3, 3, 4, 2, 3, 2, 3, 3, 3, 2, 2, 4, 2, 3, 2, 3, 3, 3, 3, 
    3, 3, 2, 3, 4, 2, 3, 2, 2, 2, 5, 2, 4, 2, 2, 3, 3, 3, 3, 
    3, 4, 5, 3, 2, 3, 5, 2, 4, 3, 3, 2, 3, 3, 4, 2, 3, 5, 2, 
    5, 3, 2, 3, 2, 2, 3, 3, 2, 3, 2, 3, 3, 2, 2, 5, 3, 3, 4, 
    2, 3, 2, 3, 2, 4, 2, 2, 2, 3, 5, 3, 2, 4, 6, 4, 5, 2, 2, 
    2, 2, 2, 8, 2, 2, 3, 2, 3, 2, 3, 2, 3, 5, 2, 3, 2, 3, 4, 
    4, 2, 5, 6, 4, 5, 3, 2, 2, 3, 2, 2, 4, 2, 2, 2, 3, 2, 3, 
    3, 2, 2, 4, 2, 5, 3, 4, 2, 2, 2, 2, 3, 3, 2, 5, 2, 4, 2, 
    2, 2, 4, 3, 3, 2, 5, 3, 2, 4, 3, 2, 2, 2, 4, 3, 4, 3, 2, 
    3, 2, 7, 4, 2, 3, 5, 3, 3, 3, 2, 3, 7, 2, 2, 3, 3, 3, 5, 
    2, 3, 3, 4, 3, 2, 3, 3, 4, 3, 2, 3, 3, 3, 6, 3, 2, 3, 2, 
    4, 3, 3, 2, 4, 3, 2, 3, 3, 2, 2, 6, 3, 2, 2, 2, 2, 3, 5, 
    2, 4, 3, 2, 4, 2, 4, 2, 3, 6, 2, 2, 3, 4, 2, 3, 3, 2, 2, 
    2, 2, 5, 2, 3, 3, 3, 3, 7, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 
    4, 4, 4, 5, 3, 3, 5, 3, 3, 5, 3, 3, 2, 2, 2, 5, 2, 4, 3, 
    2, 3, 3, 4, 3, 5, 3, 3, 3, 2, 3, 2, 4, 5, 2, 3, 3, 2, 2, 
    3, 2, 2, 3, 2, 3, 3, 2, 6, 2, 5, 2, 4, 5, 2, 3, 3, 5, 3, 
    2, 2, 4, 3, 3, 4, 4, 3, 2, 5, 3, 3, 2, 3, 7, 2, 4, 3, 2, 
    4, 5, 2, 3, 2, 2, 2, 3, 3, 4, 4, 3, 3, 3, 3, 4, 3, 3, 5, 
    3, 4, 2, 3, 5, 5, 3, 3, 4, 2, 3, 3, 2, 3, 2, 2, 2, 2, 5, 
    2, 4, 3, 2, 3, 2, 3, 3, 2, 4, 2, 4, 3, 3, 2, 2, 6, 2, 2, 
    2, 3, 2, 2, 2, 5, 2, 3, 2, 3, 2, 3, 5, 5, 2, 2, 5, 2, 3, 
    3, 3, 2, 4, 4, 2, 3, 2, 2, 4, 3, 5, 4, 3, 5, 5, 4, 2, 3, 
    3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 
    3, 3, 4, 3, 4, 2, 3, 4, 3, 2, 5, 2, 4, 2, 3, 4, 5, 3, 2, 
    3, 4, 3, 3, 2, 2, 4, 7, 3, 2, 3, 2, 3, 2, 2, 2, 2, 6, 4, 
    3, 2, 3, 4, 5, 3, 2, 4, 2, 4, 4, 2, 2, 2, 2, 2, 2, 4, 3, 
    4, 8, 4, 4, 2, 5, 3, 3, 3, 2, 3, 2, 2, 6, 4, 4, 4, 4, 5, 
    3, 3, 4, 3, 3, 2, 2, 3, 4, 3, 5, 6, 2, 2, 2, 3, 3, 3, 2, 
    6, 3, 2, 3, 3, 2, 2, 5, 2, 2, 3, 2, 4, 3, 4, 2, 6, 2, 4, 
    3, 2, 3, 5, 2, 2, 3, 3, 4, 2, 2, 3, 2, 3, 2, 2, 5, 2, 2, 
    2, 2, 5, 2, 4, 2, 3, 2, 3, 4, 6, 3, 3, 3, 2, 3, 2, 5, 2, 
    2, 4, 3, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 6, 3, 3, 3, 3, 3, 
    2, 4, 3, 4, 3, 2, 5, 2, 3, 2, 3, 5, 2, 2, 2, 3, 2, 2, 3, 
    2, 5, 2, 4, 3, 2, 2, 3, 3, 3, 3, 4, 4, 2, 2, 3, 3, 4, 3, 
    2, 3, 5, 4, 4, 2, 3, 3, 2, 3, 5, 4, 4, 2, 2, 3, 3, 5, 3, 
    3, 6, 3, 3, 2, 8, 3, 2, 2, 3, 2, 3, 6, 2, 6, 3, 3, 4, 2, 
    3, 5, 2, 5, 2, 4, 3, 2, 3, 2, 4, 4, 3, 2, 3, 2, 4, 2, 5, 
    3, 3, 4, 3, 2, 2, 2, 3, 4, 3, 4, 2, 2, 2, 3, 3, 6, 2, 2, 
    3, 3, 3, 2, 2, 4, 2, 3, 3, 2, 2, 3, 2, 3, 4, 2, 2, 2, 3, 
    3, 5, 2, 2, 4, 3, 6, 3, 2, 4, 3, 3, 4, 4, 3, 3, 3, 3, 3, 
    4, 3, 4, 3, 3, 3, 2, 2, 3, 3, 2, 3, 2, 3, 3, 3, 3, 2, 2, 
    3, 2, 2, 3, 3, 3, 3, 2, 2, 4, 5, 3, 3, 5, 3, 3, 2, 5, 2, 
    5, 2, 2, 2, 4, 4, 3, 2, 2, 3, 3, 2, 3, 3, 5, 3, 3, 5, 3, 
    2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 4, 3, 3, 2, 3, 3, 3, 3, 
    2, 3, 5, 4, 2, 8, 2, 2, 5, 4, 3, 3, 6, 3, 2, 6, 4, 6, 3, 
    4, 2, 3, 3, 3, 7, 2, 3, 3, 3, 4, 2, 4, 3, 3, 2, 3, 3, 4, 
    2, 4, 4, 2, 4, 3, 2, 2, 3, 2, 3, 5, 3, 2, 4, 6, 2, 2, 5, 
    4, 3, 2, 3, 7, 5, 2, 3, 4, 2, 2, 3, 5, 2, 3, 2, 2, 4, 3, 
    2, 2, 2, 4, 3, 3, 3, 2, 3, 2, 4, 3, 4, 3, 2, 2, 5, 2, 2, 
    4, 3, 3, 4, 4, 2, 2, 4, 5, 4, 5, 5, 2, 3, 2, 3, 3, 6, 3, 
    5, 5, 4, 5, 2, 4, 3, 2, 5, 2, 5, 3, 2, 3, 2, 4, 5, 3, 2, 
    3, 6, 2, 5, 2, 3, 3, 3, 2, 2, 5, 3, 3, 2, 2, 3, 4, 3, 3, 
    4, 3, 2, 4, 3, 2, 5, 3, 2, 2, 4, 5, 4, 2, 3, 3, 3, 2, 3, 
    3, 6, 5, 2, 2, 7, 2, 4, 2, 4, 2, 4, 4, 2, 2, 3, 3, 5, 2, 
    4, 5, 2, 2, 4, 3, 6, 2, 3, 6, 2, 4, 6, 3, 2, 3, 2, 4, 2, 
    5, 3, 2, 3, 3, 2, 2, 2, 2, 2, 6, 2, 2, 2, 3, 3, 3, 3, 2, 
    2, 4, 3, 5, 2, 3, 4, 3, 2, 2, 2, 6, 2, 3, 3, 2, 3, 3, 3, 
    2, 2, 2, 4, 2, 3, 3, 3, 6, 3, 3, 3, 2, 4, 3, 3, 4, 2, 2, 
    2, 2, 2, 3, 3, 3, 4, 2, 4, 7, 2, 3, 2, 2, 2, 3, 3, 3, 3, 
    3, 5, 2, 2, 3, 2, 2, 3, 3, 5, 3, 3, 2, 2, 5, 2, 3, 3, 3, 
    3, 2, 3, 2, 6, 3, 4, 3, 3, 4, 4, 2, 2, 3, 3, 4, 2, 3, 3, 
    3, 2, 2, 2, 3, 3, 3, 2, 3, 4, 3, 2, 3, 5, 2, 2, 2, 5, 2, 
    2, 5)), row.names = c(NA, 3000L), class = "data.frame")

ggplot2

boxplot

Stack Overflow用户

回答已采纳

发布于 2020-06-03 18:30:24

你可以添加geom_jitter来显示异常值(改编自本文(apply jittering to outliers data in a boxplot with ggplot2)：

my_xlab <- paste(levels(df$age_class),"\n(N=",table(df$age_class),")",sep="")
df %>% 
  group_by(age_class) %>% 
  mutate(outlier = nr_trips > median(nr_trips) + IQR(nr_trips) * 1.5) %>% 
  ggplot(aes(x=age_class, y=nr_trips)) + 
  geom_boxplot(varwidth = TRUE, outlier.shape = NA)+
  scale_x_discrete(labels=my_xlab)+
  stat_summary(fun.data = "mean_cl_normal", 
               aes(shape="mean"), 
               size=4,
               colour = "red",
               geom="point") +
  scale_shape_manual("", values=c("mean"="x"))+
  theme_minimal() + 
  geom_jitter(data = function(x) dplyr::filter_(x, ~ outlier), width = 0.25, height = 0, alpha = .2, aes(color = "outliers")) +
  scale_color_manual(name = "", values = c("outliers" = "black"))

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原文链接：

https://stackoverflow.com/questions/62170117

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