Question

the salaries of the employees at four companies are summarized below. answer the questions about them.
company a: the mean salary is $37,000 and the range of salaries is $51,000.
company b: the mean salary is $45,000 and the range of salaries is $53,000.
company c: the mean salary is $42,000 and the range of salaries is $48,000.
company d: the mean salary is $38,000 and the range of salaries is $54,000.
(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 lowest salaries on average?
○ company a ○ company b ○ company c ○ company d

Explanation:

Step1: Analyze variability (range)

Variability is measured by range. Compare ranges:
Company A: $51,000
Company B: $53,000
Company C: $48,000
Company D: $54,000
Since $54,000>53,000 > 51,000>48,000$, Company D has the largest range (most variability).

Step2: Analyze average (mean)

Compare means:
Company A: $37,000
Company B: $45,000
Company C: $42,000
Company D: $38,000
Since $37,000<38,000 < 42,000<45,000$, Company A has the lowest mean (lowest average salary).

Answer:

(a) Company D
(b) Company A