worth 10 points
Part A: Complete the table.
Calculate the mean (µ) for the players listed.
Fill in the table by calculating the deviation from the mean, (x − µ), the square of the deviation, (x − µ)², and the sum of the squares of the deviation.
Calculate the variance.
Calculate the standard deviation.
Calculate the z-score for each player.
Part B: Answer the following questions.
What does the z-score determine?
Analyze the player's average points per game that is farthest from the mean. Evaluate the z-score and justify whether it is reasonable.
Analyze the player's average points per game that is closest to the mean. Evaluate the z-score and justify whether it is reasonable.
Explain why negative z-scores are present.
What is the sum of the z-scores? Evaluate your calculation and justify it with statistical reasoning.
Part C: Compare the data.
Use the table presented below for z-scores for the salaries of the LA Lakers in 2015/2016.
Choose two players from the table above. Use the average points per game data and salary data of the players you chose to determine which of your two players is paid more. Is this fair? Use your z-score data to help in your explanation. Be sure to justify your reasoning.
