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 $43,000.
company b: the mean salary is $20,000 and the range of salaries is $44,000.
company c: the mean salary is $28,000 and the range of salaries is $40,000.
company d: the mean salary is $27,000 and the range of salaries is $47,000.
(a) based on the information above, which companys salaries have the least variability?
○ company a ○ company b ○ company c ○ company d
(b) based on the information above, which company has the lowest salaries on average?
○ company a ○ company b ○ company c ○ company d

Explanation:

Step1: Analyze variability (range)

Variability is measured by the range. The smaller the range, the less the variability.
Company A: range = $43,000
Company B: range = $44,000
Company C: range = $40,000
Company D: range = $47,000
Since \(40000<43000 < 44000<47000\)

Step2: Analyze mean (average)

The mean represents the average salary.
Company A: mean = $26,000
Company B: mean = $20,000
Company C: mean = $28,000
Company D: mean = $27,000
Since \(20000<26000 < 27000<28000\)

Answer:

(a) Company C
(b) Company B