Question
The salaries of the employees at four companies are summarized below. Answer the questions about them.
Company A: The mean salary is $23,000 and the range of salaries is $44,000.
Company B: The mean salary is $29,000 and the range of salaries is $40,000.
Company C: The mean salary is $22,000 and the range of salaries is $48,000.
Company D: The mean salary is $24,000 and the range of salaries is $41,000.
(a) Based on the information above, which company's salaries have the most variability?
• Company A
• Company B
• Company C
• Company D
(b) Based on the information above, which company has the highest salaries on average?
• Company A
• Company B
• Company C
• Company D
Company A: The mean salary is $23,000 and the range of salaries is $44,000.
Company B: The mean salary is $29,000 and the range of salaries is $40,000.
Company C: The mean salary is $22,000 and the range of salaries is $48,000.
Company D: The mean salary is $24,000 and the range of salaries is $41,000.
(a) Based on the information above, which company's salaries have the most variability?
• Company A
• Company B
• Company C
• Company D
(b) Based on the information above, which company has the highest salaries on average?
• Company A
• Company B
• Company C
• Company D
Answers
GPT-4o mini
(a) To determine which company's salaries have the most variability, we can look at the range of salaries. The range gives us an idea of how spread out the salaries are.
- Company A: Range = $44,000
- Company B: Range = $40,000
- Company C: Range = $48,000
- Company D: Range = $41,000
Comparing these ranges, **Company C** has the highest range of salaries at $48,000, indicating the most variability.
**Answer: Company C**
(b) To identify which company has the highest salaries on average, we can compare the mean salaries:
- Company A: Mean = $23,000
- Company B: Mean = $29,000
- Company C: Mean = $22,000
- Company D: Mean = $24,000
Among these mean salaries, **Company B** has the highest average salary at $29,000.
**Answer: Company B**
- Company A: Range = $44,000
- Company B: Range = $40,000
- Company C: Range = $48,000
- Company D: Range = $41,000
Comparing these ranges, **Company C** has the highest range of salaries at $48,000, indicating the most variability.
**Answer: Company C**
(b) To identify which company has the highest salaries on average, we can compare the mean salaries:
- Company A: Mean = $23,000
- Company B: Mean = $29,000
- Company C: Mean = $22,000
- Company D: Mean = $24,000
Among these mean salaries, **Company B** has the highest average salary at $29,000.
**Answer: Company B**