⚠️ Comparing box plots without using values

"The Vague Comparison"

Probability & Statistics

The Mistake in Action

Compare the two distributions shown in the box plots.

Wrong: "Class A has a bigger spread. Class B did better."

🧠 Why It Happens

Students make general statements without referencing specific values from the diagrams. This loses marks for interpretation.

The Fix

Always quote values when comparing box plots:

Good comparison: "Class B has a higher median (57%) than Class A (40%), showing Class B performed better on average.

Class A has a larger IQR (30 compared to 20), meaning Class A's results were less consistent.

Class A has a larger range (70 compared to 55), showing more variation overall."

Use: median, IQR, range, minimum, maximum — with actual numbers.

🔍 Spot the Mistake

Can you identify where this student went wrong?

Compare the distributions

Class A has bigger spread, Class B did better

Click on the line that contains the error.

📚 Related Topics

Learn more about the underlying maths: