Question

the salaries of the employees at four companies are summarized below. answer the questions about them. company a: the mean salary is $34,000 and the range of salaries is $63,000. company b: the mean salary is $35,000 and the range of salaries is $59,000. company c: the mean salary is $30,000 and the range of salaries is $61,000. company d: the mean salary is $31,000 and the range of salaries is $54,000. (a) based on the information above, which company has the lowest salaries on average? • company a ○ company b ○ company c ○ company d (b) based on the information above, which company’s salaries have the least variability? ○ company a ○ company b ○ company c • company d

Explanation:

Step1: Compare mean salaries (part a)

Mean salaries: A=$34,000, B=$35,000, C=$30,000, D=$31,000
Identify the smallest value: $\min(34000, 35000, 30000, 31000) = 30000$

Step2: Compare ranges (part b)

Ranges: A=$63,000, B=$59,000, C=$61,000, D=$54,000
Identify the smallest value: $\min(63000, 59000, 61000, 54000) = 54000$

Answer:

(a) Company C
(b) Company D