AI Tutor
Imagine two video game streaming platforms claim their players spend an average of 4 hours daily playing games. Does that mean their user experiences are identical?
One platform might have everyone playing between 3.5 and 4.5 hours, while the other has a mix of 10-minute drop-ins and 12-hour marathoners. Parallel box plots let you compare these entire distributions on a single shared numerical axis.
To extract meaningful insights, how do we systematically evaluate what these parallel boxes are telling us?

The Three-Feature Framework

Whenever you compare distributions, always compare three core features: center, dispersion, and shape.
For center, compare the medians (the line inside the box). For dispersion (spread), compare both the interquartile range (the length of the box, IQR=Q3βˆ’Q1\text{IQR} = Q_3 - Q_1) and the overall range (Maxβˆ’Min\text{Max} - \text{Min}).
For shape, look at symmetry: if the median is centered and whiskers are roughly equal, the distribution is symmetric; if the right whisker is longer or the median sits near Q1Q_1, it is skewed right.
Let's put this framework into action on real exam data from two different math sections.

Worked Comparison: Class X vs. Class Y

Consider the parallel box plots for Class X and Class Y on a 100-point calculus exam.