Question
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 more extremely low scores, Class B had one or more extremely high scores, and Class C had many low and high 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.
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.
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 more extremely low scores, Class B had one or more extremely high scores, and Class C had many low and high 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.
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.
Answers
GPT-4o mini
To explain the differences in the shapes of the distributions of test scores for the three classes based on the given responses, we need to consider how extreme scores (either high or low) can affect the overall distribution shape.
- If Class A had one or more extremely high scores, it can create a long right tail (positive skew).
- If Class B had one or more extremely low scores, it can create a long left tail (negative skew).
- Class C's distribution could vary based on whether there were extreme scores or if it had a more normal distribution.
Given this reasoning, the statement that best explains the differences in the shapes of the distributions 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 response accounts for the impact of extreme high and low scores on Class A and B's distributions while indicating that Class C has a more balanced shape without extremes.
- If Class A had one or more extremely high scores, it can create a long right tail (positive skew).
- If Class B had one or more extremely low scores, it can create a long left tail (negative skew).
- Class C's distribution could vary based on whether there were extreme scores or if it had a more normal distribution.
Given this reasoning, the statement that best explains the differences in the shapes of the distributions 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 response accounts for the impact of extreme high and low scores on Class A and B's distributions while indicating that Class C has a more balanced shape without extremes.