The test scores of the students in four classes are summarized below. Answer the questions about them.

Question

Class A: The mean score is 104 and the range of scores is 25.
Class B: The mean score is 106 and the range of scores is 26.
Class C: The mean score is 100 and the range of scores is 32.
Class D: The mean score is 103 and the range of scores is 23.
(a) Based on the information above, which class's scores have the most variability?
• Class A
average?
• Class A
• Class B
O Class C
• Class D
(b) Based on the information above, which class has the highest scores on
• Class B
O Class C
• Class D

Answer 1

(a) Variability in a set of scores can often be discussed in terms of the range, which measures the difference between the highest and lowest scores. The class with the greatest range indicates the most variability.

Here are the ranges for each class:

• Class A: Range = 25
• Class B: Range = 26
• Class C: Range = 32
• Class D: Range = 23

Class C has the highest range (32), indicating that Class C's scores have the most variability.

Answer: Class C

(b) To determine which class has the highest scores on average, we can look at the means provided for each class:

• Class A: Mean = 104
• Class B: Mean = 106
• Class C: Mean = 100
• Class D: Mean = 103

Class B has the highest mean score of 106.

Answer: Class B