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 40.
class b: the mean score is 110 and the range of scores is 38.
class c: the mean score is 105 and the range of scores is 45.
class d: the mean score is 111 and the range of scores is 39.
(a) based on the information above, which class has the highest scores on average?
class a class b class c class d
(b) based on the information above, which classs scores have the least variability?
class a class b class c class d

Explanation:

(a) Comparing Mean Scores

• Mean score of Class A: \(108\)
• Mean score of Class B: \(110\)
• Mean score of Class C: \(105\)
• Mean score of Class D: \(111\)

Since \(105<108<110<111\), Class D has the highest mean score.

(b) Comparing Ranges (a measure of variability)

• Range of Class A: \(40\)
• Range of Class B: \(38\)
• Range of Class C: \(45\)
• Range of Class D: \(39\)

Since \(38<39<40<45\), Class B has the smallest range (least variability).

Answer:

(a) Class D
(b) Class B