Question

the parallel boxplots below display the quiz grades (out of 30) for two of mrs. smiths statistics classes. which statement best compares the shapes of the distributions of the quiz scores for the two classes? class 1 class 2 12 14 16 18 20 22 24 26 28 30 quiz grades both distributions appear to be fairly symmetric. the distribution of quiz grades for class 1 appears to be skewed left, and the distribution of quiz grades for class 2 appears to be fairly symmetric. the distribution of quiz grades for class 1 appears to be skewed right, and the distribution of quiz grades for class 2 appears to be fairly symmetric. the distribution of quiz grades for class 1 appears to be skewed right, and the distribution of quiz grades for class 2 appears to be slightly skewed left.

Explanation:

In a box - plot, if the median is closer to the lower quartile and the right - hand whisker is longer, the distribution is skewed right. For class 1, the right - hand whisker is longer and the median is closer to the lower quartile, so it is skewed right. For class 2, the median is approximately in the middle of the box and the whiskers are of similar length, indicating a fairly symmetric distribution.

Answer:

The distribution of quiz grades for class 1 appears to be skewed right, and the distribution of quiz grades for class 2 appears to be fairly symmetric.