Comparing Data Sets by Center, Spread Practice Test

Two classes took the same 20-point quiz. The teacher summarized each class’s scores and described the shapes.

Data Set A (Class A): approximately symmetric with no outliers; $\bar{x}=15.2$, $s=1.1$, median $=15$, IQR $=1.5$.

Data Set B (Class B): approximately symmetric with no outliers; $\bar{x}=14.6$, $s=2.0$, median $=15$, IQR $=2.5$.

From the summary statistics, which statement best compares the typical score and variability of Class A and Class B using appropriate measures?

Two different machines fill 1-liter bottles. The fill amounts (in mL) for a sample are shown below.

Data Set A (Machine A): 1001, 999, 1000, 1002, 998, 1001, 1000, 999, 1002, 998

Data Set B (Machine B): 1000, 1000, 1001, 999, 1000, 1001, 999, 1000, 1000, 1000

Based on these data, which statement best compares the typical fill amount and variability using appropriate measures?