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the salaries of the employees at four companies are summarized below. a…

Question

the salaries of the employees at four companies are summarized below. answer the questions about them.
company a: the mean salary is $24,000 and the range of salaries is $41,000.
company b: the mean salary is $23,000 and the range of salaries is $37,000.
company c: the mean salary is $31,000 and the range of salaries is $40,000.
company d: the mean salary is $25,000 and the range of salaries is $36,000.
(a) based on the information above, which company has the highest salaries on average?
o company a o company b o company c o company d
(b) based on the information above, which companys salaries have the most variability?
o company a o company b o company c o company d

Explanation:

Step1: Compare the mean salaries

Compare the mean salaries of the four companies:

  • Company A: \( \$24,000 \)
  • Company B: \( \$23,000 \)
  • Company C: \( \$31,000 \)
  • Company D: \( \$25,000 \)

Since \( 31000>25000 > 24000>23000 \), Company C has the highest mean salary.

Step2: Compare the ranges of salaries

Compare the ranges of salaries of the four companies:

  • Company A: \( \$41,000 \)
  • Company B: \( \$37,000 \)
  • Company C: \( \$40,000 \)
  • Company D: \( \$36,000 \)

Since \( 41000>40000 > 37000>36000 \), Company A has the largest range. A larger range indicates more variability.

Answer:

(a) Company C
(b) Company A