Question: 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 Deviation
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 | Deviation from the Mean | Square of the Deviation | z-Score | ||
|---|---|---|---|---|---|---|
| x | (x) | (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 ) = |
Source: http://www.espn.com/nba/team/stats/_/name/lal/los-angeles-lakers
Part A: Complete the table.
- 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.
- 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 explain whether it is reasonable.
- Analyze the player's average points per game that is closest to the mean. Evaluate the z-score and explain 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 provided for z-scores for the salaries of the LA Lakers in 2015/2016.
| (x) |
| N |
- .
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