Use the table and the data provided to analyze the 2021/2022 points per game for the LA Lakers. Players Average points per game 2021/2022 Deviation from the Mean Square of the Deviation z-Score Carmelo Anthony 13.3       Avery Bradley 6.4       Anthony Davis 23.2       Sekou Doumbouya 7.0       Wayne Ellington 6.7       Wenyen Gabriel 6.7       Talen Horton-Tucker 10.0       Dwight Howard 6.2       LeBron James 30.3       Stanley Johnson 6.7       Mason Jones 6.8       Malik Monk 13.8       Austin Reaves 7.3       Isaiah Thomas 9.3       Russell Westbrook 18.5       Total Σx =   Σ(x − µ)² =   Source: https://www.espn.com/nba/team/stats/_/name/lal/los-angeles-lakers Part A: Complete the table. (5 points) 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. (15 points) 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. (10 points)



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