Use the table and the data provided to analyze the 2015/2016 points per game for the LA Lakers.

Players

Average points per game 2015/2016

x

Deviation from the Mean

(x)

Square of the Deviation

(x)

z-Score

x

Anthony Brown

4.0

Brandon Bass

7.2

D'Angelo Russell

13.2

Jordan Clarkson

15.5

Julius Randle

11.3

Kobe Bryant

17.6

Larry Nance Jr.

5.5

Louis Williams

15.3

Marcelo Huertas

4.5

Metta World Peace

5.0

Nick Young

7.3

Robert Sacre

3.5

Roy Hibbert

5.9

Ryan Kelly

4.2

Tarik Black

3.4

Total

x =

(x )=

Part A: Complete the table.

1. Calculate the mean () for the players listed.
2. 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.
3. Calculate the variance.
4. Calculate the standard deviation.
5. Calculate the z-score for each player.

Part B: Answer the following questions.

1. What does the z-score determine?
2. Analyze the player's average points per game that is farthest from the mean. Evaluate the z-score and justify whether it is reasonable.
3. Analyze the player's average points per game that is closest to the mean. Evaluate the z-score and justify whether it is reasonable.
4. Explain why negative z-scores are present.
5. What is the sum of the z-scores? Evaluate your calculation and justify it with statistical reasoning.