Question

the salaries of the employees at four companies are summarized below. answer the questions about them. company a: the mean salary is $26,000 and the range of salaries is $35,000. company b: the mean salary is $30,000 and the range of salaries is $38,000. company c: the mean salary is $22,000 and the range of salaries is $36,000. company d: the mean salary is $24,000 and the range of salaries is $44,000. (a) based on the information above, which companys salaries have the most variability? (b) based on the information above, which company has the lowest salaries on average? (a) company a company b company c company d (b) company a company b company c company d

Explanation:

Step1: Recall variability measure

Range is a measure of variability. Larger range implies more variability.

Step2: Compare ranges

Company A has range = $35000$, Company B has range = $38000$, Company C has range = $36000$, Company D has range = $44000$. Since $44000$ is the largest range, Company D has the most variability.

Step3: Compare means for lowest average

Company A has mean = $26000$, Company B has mean = $30000$, Company C has mean = $22000$, Company D has mean = $24000$. Since $22000$ is the lowest mean, Company C has the lowest salaries on average.

Answer:

(a) Company D
(b) Company C