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.
class a is skewed left
class b is skewed right
class c is symetrical
Which of these statements may explain the differences in the shapes of the distributions?
(1 point)
Responses
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 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 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 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 is skewed left
class b is skewed right
class c is symetrical
Which of these statements may explain the differences in the shapes of the distributions?
(1 point)
Responses
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 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 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 or more extremely low scores, Class B had one or more extremely high scores, and Class C did not have any extreme scores.
Answers
GPT-4o mini
To analyze the shapes of the distributions of the test scores:
- Class A is skewed left, which indicates the presence of one or more extremely low scores affecting the mean more than the median.
- Class B is skewed right, suggesting that one or more extremely high scores are impacting the data in that direction.
- Class C is symmetrical, indicating a balanced distribution of scores with no apparent extreme values on either side.
Based on this understanding, the correct statement that explains the differences in the shapes of the distributions would be:
**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.**
This statement correctly attributes the left skew to Class A's low scores, the right skew to Class B's high scores, and the symmetrical distribution of Class C to the lack of extreme scores.
- Class A is skewed left, which indicates the presence of one or more extremely low scores affecting the mean more than the median.
- Class B is skewed right, suggesting that one or more extremely high scores are impacting the data in that direction.
- Class C is symmetrical, indicating a balanced distribution of scores with no apparent extreme values on either side.
Based on this understanding, the correct statement that explains the differences in the shapes of the distributions would be:
**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.**
This statement correctly attributes the left skew to Class A's low scores, the right skew to Class B's high scores, and the symmetrical distribution of Class C to the lack of extreme scores.