SAT Question 869a32f1: Distributions, Center & Spread answer and explanation with Desmos solution

Choice A is incorrect. The median of a data set is the middle value when the values in the set are ordered from least to greatest. Ordering the high temperatures this way gives the list $80$, $81$, $81$, $81$, $82$. Therefore, the median high temperature is $81^{\circ }$F.

Choice B is incorrect. The mean high temperature is $\frac{81+80+81+81+82}{5}=\frac{405}{5}=81$.

Choice C is incorrect. The mode is the value that occurs the greatest number of times. For the set of high temperatures shown, $81$ is the value that occurs $3$ times, and therefore, $81^{\circ }$F is the mode of the high temperatures.