Do the data shown in the boxplot below have a greater amount

Do the data shown in the boxplot below have a greater amount of variability within levels A, B, C, and D or between the four levels? Explain.

Solution

By inspection, we see that the 4 intervals pretty much coincide. Thus, there is small variability between levels.

Also, we see that the intervals are quite long. Thus, there is great variability within the level.

Thus, there is greater variability WITHIN LEVELS than between levels. [ANSWER]