As a statistical consultant I frequently use boxplots. The tops and bottoms of the boxes are referred to as “hinges”.They're a great way to quickly visualize the distribution of a continuous measure by some grouping variable. The box itself represents the middle 50% of the data. We see groups 1 and 2 have less variability than groups 3 and 4, which makes sense given the way we generated the data.All of these situations lend themselves to an ANOVA, or ANalysis Of VAriance.Despite its name, ANOVA is usually applied to understanding differences in central tendency. :-10.6 1st Qu.:191 1st Qu.: 2.0 1st Qu.: 78.5 1st Qu.: 24.4 Median :277 Median : 8.0 Median : 99.5 Median : 42.0 Mean :271 Mean : 21.5 Mean : 99.2 Mean : 40.1 3rd Qu.:351 3rd Qu.: 30.0 3rd Qu.:118.3 3rd Qu.: 54.7 Max.
That is, these are the minimum and maximum values that do not exceed a certain distance from the middle 50% of the data. And the points beyond the distance are plotted as single points.
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