The test scores of the students in four classes are summarized below. Answer the questions about them.
Class A: The range of scores is
44
and the mean score is
108
.
Class B: The range of scores is
42
and the mean score is
111
.
Class C: The range of scores is
36
and the mean score is
102
.
Class D: The range of scores is
43
and the mean score is
105
.
(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 class's scores have the most variability?
Class A
Class B
Class C
Class D
(a) Based on the information above, Class B has the highest scores on average with a mean score of 111.
(b) Based on the information above, Class A has the most variability with a range of scores of 44.
The ages of the members of four teams are summarized below. Answer the questions about them.
Team A: The range of ages is
26
and the mean age is
45
.
Team B: The range of ages is
23
and the mean age is
44
.
Team C: The range of ages is
29
and the mean age is
43
.
Team D: The range of ages is
31
and the mean age is
42
.
(a) Based on the information above, which team's ages have the least variability?
Team A
Team B
Team C
Team D
(b) Based on the information above, which team has the youngest members on average?
Team A
Team B
Team C
Team D
(a) Based on the information above, Team B has the least variability with a range of ages of 23.
(b) Based on the information above, Team D has the youngest members on average with a mean age of 42.
(a) To determine which class has the highest scores on average, we need to compare the mean scores for each class.
The mean scores for each class are:
Class A: 108
Class B: 111
Class C: 102
Class D: 105
From the given information, we can see that Class B has the highest mean score of 111, so the answer is Class B.
(b) To determine which class's scores have the most variability, we need to compare the ranges of scores for each class.
The ranges of scores for each class are:
Class A: 44
Class B: 42
Class C: 36
Class D: 43
From the given information, we can see that Class A has the largest range of scores with 44, so the answer is Class A.