Question

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 33. class b: the mean score is 110 and the range of scores is 33. class c: the mean score is 107 and the range of scores is 27. class d: the mean score is 115 and the range of scores is 25. (a) based on the information above, which class has the lowest scores on average? class a class b class c class d (b) based on the information above, which classs scores have the most variability? class a class b class c class d

Explanation:

Step1: Compare mean scores

We compare the mean scores of each class. Class A has a mean of 108, Class B has a mean of 110, Class C has a mean of 107, and Class D has a mean of 115.

Step2: Determine lowest - mean class

Since 107 (Class C) < 108 (Class A) < 110 (Class B) < 115 (Class D), Class C has the lowest mean score.

Step3: Compare ranges

We compare the ranges of each class. Class A has a range of 33, Class B has a range of 33, Class C has a range of 27, and Class D has a range of 25.

Step4: Determine most - variable class

Since 33 (Class A and Class B) > 27 (Class C) > 25 (Class D), Class A and Class B have the highest range. Among the given single - class options, Class A has the most variability.

Answer:

(a) C. Class C
(b) A. Class A