The salaries of the employees at four companies are summarized below. Answer the questions about them.
Company A: The mean salary is
$39,000
and the range of salaries is
$55,000
.
Company B: The mean salary is
$31,000
and the range of salaries is
$58,000
.
Company C: The mean salary is
$34,000
and the range of salaries is
$50,000
.
Company D: The mean salary is
$40,000
and the range of salaries is
$49,000
.
(a) Based on the information above, which company has the highest salaries on average?
Company A
Company B
Company C
Company D
(b) Based on the information above, which company's salaries have the most variability?
Company A
Company B
Company C
Company D
(a) Based on the information provided, Company D has the highest salaries on average with a mean salary of $40,000.
(b) Based on the information provided, Company B has the most variability in salaries with a range of $58,000.
The test scores of the students in four classes are summarized below. Answer the questions about them.
Class A: The mean score is
96
and the range of scores is
57
.
Class B: The mean score is
100
and the range of scores is
53
.
Class C: The mean score is
99
and the range of scores is
50
.
Class D: The mean score is
92
and the range of scores is
58
.
(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?
Class A
Class B
Class C
Class D
(a) Based on the information provided, Class C has the least variability in scores with a range of 50.
(b) Based on the information provided, Class B has the highest scores on average with a mean score of 100.
The ages of the members of four teams are summarized below. Answer the questions about them.
Team A: The range of ages is
15
and the mean age is
57
.
Team B: The range of ages is
23
and the mean age is
52
.
Team C: The range of ages is
17
and the mean age is
49
.
Team D: The range of ages is
19
and the mean age is
54
.
(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 provided, Team C has the least variability in ages with a range of 17.
(b) Based on the information provided, Team C has the youngest members on average with a mean age of 49.
(a) Based on the information above, the company with the highest salaries on average is Company D, with a mean salary of $40,000.
(b) Based on the information above, the company with the most variability in salaries is Company B, with a range of $58,000.
To determine which company has the highest salaries on average, we need to compare the mean salaries of each company.
(a) Based on the information provided, the mean salaries are as follows:
- Company A: $39,000
- Company B: $31,000
- Company C: $34,000
- Company D: $40,000
Therefore, Company D has the highest salaries on average with a mean salary of $40,000.
To determine which company's salaries have the most variability, we need to compare the ranges of salaries for each company.
(b) Based on the information provided, the ranges of salaries are as follows:
- Company A: $55,000
- Company B: $58,000
- Company C: $50,000
- Company D: $49,000
The range measures the spread or variability of the salaries within each company. Therefore, Company B has the most variability in salaries with a range of $58,000.