The test scores of the students in four classes are summarized below. Answer the questions about them. Class A : The mean score is 108 and the range of scores is 25 . Class B : The mean score is 104 and the range of scores is 30 . Class C : The mean score is 102 and the range of scores is 26 . Class D: The mean score is 105 and the range of scores is 34 . (a) Based on the information above, which class's scores have the most variability? (b) Based on the information above, which class has the lowest scores on average? Class A Class O

Let's analyze the given data for each part of the question. ### Given Data: - **Class A**: Mean = 108, Range = 25 - **Class B**: Mean = 104, Range = 30 - **Class C**: Mean = 102, Range = 26 - **Class D**: Mean = 105, Range = 34 ### (a) Which class's scores have the most variability? **Variability** refers to how spread out the scores are in a dataset. One common measure of variability is the **range**, which is the difference between the highest and lowest scores. - **Class A**: Range = 25 - **Class B**: Range = 30 - **Class C**: Range = 26 - **Class D**: Range = 34 **Class D** has the largest range of **34**, indicating that its scores are the most spread out among the four classes. Therefore, **Class D** has the most variability in scores. ### (b) Which class has the lowest scores on average? To determine the class with the lowest average scores, we compare the **mean** scores of each class. - **Class A**: Mean = 108 - **Class B**: Mean = 104 - **Class C**: Mean = 102 - **Class D**: Mean = 105 **Class C** has the lowest mean score of **102**, indicating that, on average, students in Class C scored the lowest. ### **Summary of Answers:** - **(a)** The scores in **Class D** have the most variability. - **(b)** **Class C** has the lowest scores on average.