Project Option 1 (Individual)

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	x =		(x )=

Source: https://www.espn.com/nba/team/stats/_/name/lal/los-angeles-lakers

Part A: Complete the table. (5 points)

Calculate the mean () for the players listed.

Fill in the table by calculating the deviation from the mean, (x ), the square of the deviation, (x ), 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 2021/2022.

Players	Salary 2021/2022	z-Score
Carmelo Anthony	$2,641,691	-0.46
Avery Bradley	$2,641,691	-0.46
Anthony Davis	$35,361,360	1.65
Sekou Doumbouya	$185,451	-0.61
Wayne Ellington	$2,641,691	-0.46
Wenyen Gabriel	$124,495	-0.62
Talen Horton-Tucker	$9,500,000	-0.01
Dwight Howard	$2,641,691	-0.46
LeBron James	$41,180,544	2.03
Stanley Johnson	$1,248,915	-0.54
Mason Jones	$295,125	-0.61
Malik Monk	$1,789,256	-0.51
Austin Reaves	$925,258	-0.57
Isaiah Thomas	$151,821	-0.62
Russell Westbrook	$44,211,146	2.22

Source: https://hoopshype.com/salaries/los_angeles_lakers/

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.

Look over the rubric to see how you will be evaluated.