Use the table and the data provided to analyze the 2015/2016 points…
Question Answered step-by-step Use the table and the data provided to analyze the 2015/2016 points… Use the table and the data provided to analyze the 2015/2016 points per game for the LA Lakers.PlayersAverage points per game 2015/2016xDeviation from the Mean(x−µ)Square of the Deviation(x−µ)²z-Scorex−µσAnthony Brown4.0 Brandon Bass7.2 D’Angelo Russell13.2 Jordan Clarkson15.5 Julius Randle11.3 Kobe Bryant17.6 Larry Nance Jr.5.5 Louis Williams15.3 Marcelo Huertas4.5 Metta World Peace5.0 Nick Young7.3 Robert Sacre3.5 Roy Hibbert5.9 Ryan Kelly4.2 Tarik Black3.4 TotalΣx = Σ(x − µ)² = Source: http://www.espn.com/nba/team/stats/_/name/lal/los-angeles-lakersPart 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)Use the table presented below for z-scores for the salaries of the LA Lakers in 2015/2016.PlayerSalary 2015/2016xz-Scorex−µσAnthony Brown$525,093−0.65Brandon Bass$3,000,000−0.27D’Angelo Russell$5,103,1200.05Jordan Clarkson$845,059−0.60Julius Randle$3,132,240−0.25Kobe Bryant$25,000,0003.07Larry Nance Jr.$1,155,600−0.55Lou Williams$7,000,0000.33Marcelo Huertas$525,093−0.65Metta World Peace$1,499,187−0.50Nick Young$5,219,1690.06Robert Sacre$981,358−0.58Roy Hibbert$15,514,0311.63Ryan Kelly$1,724,250−0.47Tarik Black$845,059−0.60Choose 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. Math Statistics and Probability MAT 2055 Share QuestionEmailCopy link Comments (0)
