Final answer:
The statement is false as both animals and plants utilize both active and passive forms of dispersal, contrary to the absolute claim made in the question.
Step-by-step explanation:
The statement 'All animals disperse actively, whereas all plants disperse passively' is false. While it is true that plants often rely on passive means of dispersal, such as wind or water, there are numerous examples where animals play an active role in the dispersal of plant seeds. Animals can disperse seeds actively by consuming fruits and excreting the seeds elsewhere, or passively when seeds attach themselves to an animal's fur and are carried to new locations. An example of active dispersal by animals is how acorns can be spread by squirrels that cache them and forget some. On the other hand, dandelion seeds are an example of passive dispersal through wind.