Question
The salaries of the employees at four companies are summarized below. Answer the questions about them.
Company A: The range of salaries is $44,000 and the mean salary is $ 19,000.
Company B: The range of salaries is $47,000 and the mean salary is $ 16,000.
Company C: The range of salaries is $52,000 and the mean salary is $25,000.
Company D: The range of salaries is $53,000 and the mean salary is $18,000.
(a) Based on the information above, which company's salaries have the least 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 range of salaries is $44,000 and the mean salary is $ 19,000.
Company B: The range of salaries is $47,000 and the mean salary is $ 16,000.
Company C: The range of salaries is $52,000 and the mean salary is $25,000.
Company D: The range of salaries is $53,000 and the mean salary is $18,000.
(a) Based on the information above, which company's salaries have the least 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
To evaluate the variability and average salaries based on the information provided, we can look at the mean and range for each company.
(a) To determine which company's salaries have the least variability, we can assess the range since a lower range generally suggests lower variability in salaries.
- Company A: Range = $44,000
- Company B: Range = $47,000
- Company C: Range = $52,000
- Company D: Range = $53,000
Company A has the smallest range at $44,000, which indicates that Company A's salaries have the least variability.
**Answer:** Company A
(b) To find the company with the highest average salary, we can compare the mean salaries provided:
- Company A: Mean = $19,000
- Company B: Mean = $16,000
- Company C: Mean = $25,000
- Company D: Mean = $18,000
Company C has the highest mean salary at $25,000.
**Answer:** Company C
(a) To determine which company's salaries have the least variability, we can assess the range since a lower range generally suggests lower variability in salaries.
- Company A: Range = $44,000
- Company B: Range = $47,000
- Company C: Range = $52,000
- Company D: Range = $53,000
Company A has the smallest range at $44,000, which indicates that Company A's salaries have the least variability.
**Answer:** Company A
(b) To find the company with the highest average salary, we can compare the mean salaries provided:
- Company A: Mean = $19,000
- Company B: Mean = $16,000
- Company C: Mean = $25,000
- Company D: Mean = $18,000
Company C has the highest mean salary at $25,000.
**Answer:** Company C