Final answer:
Directional selection favors one extreme phenotype over the other, leading to a shift in the phenotypype distribution towards that extreme.
Step-by-step explanation:
The type of selection that eliminates one extreme from a range of phenotypes is called directional selection. In directional selection, one of the two extreme phenotypes is favored over the other, resulting in a shift in the phenotypic distribution toward the selected extreme.
An example of this is the beak size change in Galápagos finches, where birds with larger beaks were selected for due to changes in available food sources, leading to an increase in genetic variance towards the extreme beak size.