Answer:
Both are type of natural selection and ultimately lead to selection of a set of phenotype over the entire available genotype spectrum.
Step-by-step explanation:
Both the stabilizing selection and directional selection are two forms of natural selection
Also in both the selection process, a new population with a better fitment to the prevailing environmental and physical conditions evolves.
In stabilizing selection, an average phenotype is selected over extreme variation. However, by this process of selection the genetic variance of the population will decrease.
However in directional selection, phenotypes at one end of the existing variation are selected over the entire spectrum