Question

the test scores of the students in four classes are summarized below. answer the questions about them. class a: the mean score is 113 and the range of scores is 27. class b: the mean score is 106 and the range of scores is 31. class c: the mean score is 108 and the range of scores is 33. class d: the mean score is 114 and the range of scores is 25. (a) based on the information above, which classs scores have the most variability? class a class b class c class d (b) based on the information above, which class has the lowest scores on average? class a class b class c class d

Explanation:

Step1: Identify measure of variability

Range is a measure of variability. Higher range means more variability.
Class A range = 27, Class B range = 31, Class C range = 30, Class D range = 25. 31 (Class B) is the highest, so Class B has most variability.

Step2: Identify average score

Mean represents the average score. Class A mean = 113, Class B mean = 106, Class C mean = 108, Class D mean = 114. 106 (Class B) is the lowest, so Class B has lowest scores on average.

Answer:

(a) Class B
(b) Class B