One instructor teaches the same course during three different class periods. The most recent test scores for the three classes have different distributions, as shown in the graphs below.

Which of these statements may explain the differences in the shapes of the distributions?

(1 point)
Responses

Class A had one or more extremely high scores, Class B had one or more extremely low scores, and Class C had many low and high scores.
Class A had one or more extremely high scores, Class B had one or more extremely low scores, and Class C had many low and high scores.

Class A had one or more extremely low scores, Class B had one or more extremely high scores, and Class C did not have any extreme scores.
Class A had one or more extremely low scores, Class B had one or more extremely high scores, and Class C did not have any extreme scores.

Class A had one or more extremely high scores, Class B had one or more extremely low scores, and Class C did not have any extreme scores.
Class A had one or more extremely high scores, Class B had one or more extremely low scores, and Class C did not have any extreme scores.

Class A had one more extremely low scores, Class B had one or more extremely high scores, and Class C had many low and high scores.

1 answer

The statement that best explains the differences in the shapes of the distributions would be focused on the presence of extreme scores and the overall distribution of the scores in each class. Based on the options you provided, the most fitting statement is:

"Class A had one or more extremely high scores, Class B had one or more extremely low scores, and Class C did not have any extreme scores."

This option suggests that the extreme high and low scores in Classes A and B, respectively, would affect the shape of their distributions (possibly leading to skewness), while the absence of extreme scores in Class C would likely result in a more normal or uniform distribution shape.