SAT Question 1e8ccffd: Distributions, Center & Spread answer and explanation with Desmos solution

Choice A is incorrect because if $20$ is removed from the group of $8$ scores, then the mean score of the remaining $7$ players is $\frac{(14.5\times 8)-20}{7}$, which is approximately $13.71$, not $12$.

Choice B is incorrect because if $24$ is removed from the group of $8$ scores, then the mean score of the remaining $7$ players is $\frac{(14.5\times 8)-24}{7}$, which is approximately $13.14$, not $12$.

Choice D is incorrect because if $36$ is removed from the group of $8$ scores, then the mean score of the remaining $7$ players is $\frac{(14.5\times 8)-36}{7}$, or approximately $11.43$, not $12$.