Another way to visualize the difference between number and volume distributions
is supplied courtesy of the City of San Diego Environmental Laboratory. In this case
beans are used as the particle system. Figure 9 shows a
population where there are
13 beans in each of three size classes, equal on a number basis. Figure 10 shows
these beans placed in volumetric cylinders where it becomes apparent that the larger
beans represent a much larger total volume than the smaller ones.
Figure 11 shows a population of beans where it
may not be intuitively obvious, but
there is an equal volume of each size, despite the wide range of numbers present.
It becomes apparent in Figure 12 when the beans are placed in volumetric cylinders
that each volumes are equal.
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