Euler-style diagrams may give a better conceptual representation. but unfortunately they are fairly useless for intuiting about actual quantities—people are simply aren’t very good at comparing relative sizes of areas, and are much more accurate when comparing lengths.
I agree that the method I’ve chosen could be more enlightening, I’m just not sure how to do it while retaining the ability to make comparisons about the actual values.
Euler-style diagrams may give a better conceptual representation. but unfortunately they are fairly useless for intuiting about actual quantities—people are simply aren’t very good at comparing relative sizes of areas, and are much more accurate when comparing lengths.
I agree that the method I’ve chosen could be more enlightening, I’m just not sure how to do it while retaining the ability to make comparisons about the actual values.
For more on this, see http://lilt.ilstu.edu/gmklass/pos138/datadisplay/badchart.htm