The test scores of the students in four classes are summarized below. Answer the questions about them.
Class A: The range of scores is
42
and the mean score is
98
.
Class B: The range of scores is
36
and the mean score is
99
.
Class C: The range of scores is
38
and the mean score is
94
.
Class D: The range of scores is
40
and the mean score is
102
.
(a) Based on the information above, which class's scores have the least variability?
Class A
Class B
Class C
Class D
(b) Based on the information above, which class has the highest scores on average?
(a) Based on the information above, Class C has the least variability as it has the smallest range of scores (38).
(b) Based on the information above, Class D has the highest scores on average as it has the highest mean score (102).
(a) To determine which class's scores have the least variability, we need to compare the ranges. The range of scores is the difference between the highest and lowest scores in a class.
Given the ranges:
Class A: 42
Class B: 36
Class C: 38
Class D: 40
We can see that Class B has the smallest range, which means it has the least variability.
Therefore, the answer is: Class B.
(b) To determine which class has the highest scores on average, we need to compare the mean scores.
Given the mean scores:
Class A: 98
Class B: 99
Class C: 94
Class D: 102
We can see that Class D has the highest mean score.
Therefore, the answer is: Class D.