The dot plots represent the Intelligence Quotients, or IQs, for fourth grade students in two different classes. Which of the statements are true?
I. The means of the classes differ by less than one point.
II. Class 2 has a greater median compared to class 1.
III. Class 1 has a greater interquartile range compared to class 2.
IV. Class 2 has a greater standard deviation than class 1.
A.
II and IV
B.
II and III
C.
I and IV
D.
I and II
The correct answer is:
A. II and IV
Explanation:
II. Looking at the dot plots, it is clear that the median IQ for Class 2 is higher than the median IQ for Class 1.
IV. Class 2 has a wider spread of data points around the mean, indicating a greater standard deviation compared to Class 1.