Question

the salaries of the employees at four companies are summarized below. answer the questions about them. company a: the range of salaries is $40,000 and the mean salary is $34,000. company b: the range of salaries is $33,000 and the mean salary is $30,000. company c: the range of salaries is $37,000 and the mean salary is $32,000. company d: the range of salaries is $34,000 and the mean salary is $36,000. (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:

Step1: Recall range as measure of variability

The range is a measure of variability. Larger range means more variability.
Company A range = $40000$, Company B range = $33000$, Company C range = $37000$, Company D range = $34000$.

Step2: Compare ranges

Since $40000>37000 > 34000>33000$, Company A has the most variability.

Step3: Recall mean as measure of average

The mean represents the average value. Company A mean = $34000$, Company B mean = $30000$, Company C mean = $32000$, Company D mean = $36000$.

Step4: Compare means

Since $36000>34000>32000 > 30000$, Company D has the highest salaries on average.

Answer:

(a) Company A. Option Text
(b) Company D. Option Text