Question

the salaries of the employees at four companies are summarized below. answer the questions about them. company a: the range of salaries is $42,000 and the mean salary is $30,000. company b: the range of salaries is $37,000 and the mean salary is $33,000. company c: the range of salaries is $41,000 and the mean salary is $36,000. company d: the range of salaries is $38,000 and the mean salary is $31,000. (a) based on the information above, which companys 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

Explanation:

Part (a)

Step1: Recall range definition

Range measures data variability (higher range = more variability).

Step2: Compare company ranges

Company A: $42,000; Company B: $37,000; Company C: $41,000; Company D: $38,000.

Step3: Identify maximum range

$42,000 (Company A) is the largest range.

Step1: Recall mean definition

Mean is the average (higher mean = higher average salary).

Step2: Compare company means

Company A: $30,000; Company B: $33,000; Company C: $36,000; Company D: $31,000.

Step3: Identify maximum mean

$36,000 (Company C) is the highest mean.

Answer:

Company A

Part (b)