Question

the parallel boxplots below display the quiz grades (out of 30) for two of mrs. smiths statistics classes. which statement best compares the variability of the quiz scores for the two classes? class 1 class 2 12 14 16 18 20 22 24 26 28 30 quiz grades the quiz grades for class 1 have more variability than the quiz grades for class 2. the quiz grades for class 1 have less variability than the quiz grades for class 2. the quiz grades for class 1 are not as spread out as the quiz grades for class 2. the quiz grades for class 1 are higher, on average, than the quiz grades for class 2.

Explanation:

Step1: Recall box - plot variability

Variability in a box - plot is measured by the length of the box (IQR) and whiskers. A longer box and whiskers indicate more variability.

Step2: Compare box - plots

The box and whiskers for Class 2 are longer than those for Class 1. This means Class 2 has more spread in its data. So, Class 1 has less variability than Class 2.

Answer:

The quiz grades for class 1 have less variability than the quiz grades for class 2.