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5. (20 pts) The salaries of ten professional athletes are sampled: $135,000, $156,000, $143,000, $850,000, $162,000,$140,000, $180,000, $135,000, $147,000, and $145,000. Note: Do the calculations by hand (you may use

a calculator,but not Excel or other programs). However, it is recommended that you verify your answers using Excel. (a) Calculate the mean, mode, and median salary. Are they the same? If not, which is highest? Which is lowest? (b) Explain why it could be misleading to discuss the average salary of these athletes. Which of the three statistics is most useful to indicate the salary of a typical athlete? (c) Is the mode of these data very useful? Explain why or why not.

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