Is the number of points Jimmy Butler scored per game within one standard deviation from the average for the rest of the team? What does this mean for how he compares to the rest of the team? # LA Lakers Points Per Game DataThis table displays the points per game for each player on the LA Lakers team:| LA Lakers Players | Points per Game ||-------------------------------|-----------------|| LeBron James | 25 || Anthony Davis | 21.8 || Dennis Schröder | 15.4 || Kyle Kuzma | 12.9 || Kentavious Caldwell-Pope | 9.7 || Andre Drummond | 11.9 || Montrezl Harrell | 13.5 || Alex Caruso | 6.4 || Talen Horton-Tucker | 9 || Markieff Morris | 6.7 || Wesley Matthews | 4.8 || Marc Gasol | 5 || Ben McLemore | 8 || Damian Jones | 5.4 || Jared Dudley | 0.5 || Alfonzo McKinnie | 3.1 || Devontae Cacok | 2 || Quinn Cook | 2.1 || Kostas Antetokounmpo | 0.8 |### Overview:The table ranks players based on their average points per game, highlighting key contributors such as LeBron James and Anthony Davis, who lead the scoring for the team. The data can be useful for analyzing player performance trends and identifying strategic opportunities for improvements. ### Miami Heat Player Points Per GameThe following table provides detailed statistics of the Miami Heat players and their average points scored per game.| **Player Name** | **Points Per Game** ||-----------------------|---------------------|| Jimmy Butler | 21.5 || Bam Adebayo | 18.7 || Duncan Robinson | 13.1 || Tyler Herro | 15.1 || Kendrick Nunn | 14.6 || Trevor Ariza | 9.4 || Victor Oladipo | 12 || Kelly Olynyk | 10 || Goran Dragić | 13.4 || Andre Iguodala | 4.4 || Avery Bradley | 8.5 || Nemanja Bjelica | 5 || Gabe Vincent | 4.8 || Dewayne Dedmon | 7.1 || Max Strus | 6.1 || KZ Okpala | 2.5 || Precious Achiuwa | 5 || Maurice Harkless | 1.4 || Meyers Leonard | 3.3 || Chris Silva | 2.7 || Udonis Haslem | 4 |This data reflects the players' performances and contributions, highlighting the leading scorers of the team.

Answered: Is the number of points Jimmy Butler…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Is the number of points Jimmy Butler scored per game within one standard deviation from the average for the rest of the team? What does this mean for how he compares to the rest of the team?

# LA Lakers Points Per Game Data

This table displays the points per game for each player on the LA Lakers team:

| LA Lakers Players | Points per Game |
|-------------------------------|-----------------|
| LeBron James | 25 |
| Anthony Davis | 21.8 |
| Dennis Schröder | 15.4 |
| Kyle Kuzma | 12.9 |
| Kentavious Caldwell-Pope | 9.7 |
| Andre Drummond | 11.9 |
| Montrezl Harrell | 13.5 |
| Alex Caruso | 6.4 |
| Talen Horton-Tucker | 9 |
| Markieff Morris | 6.7 |
| Wesley Matthews | 4.8 |
| Marc Gasol | 5 |
| Ben McLemore | 8 |
| Damian Jones | 5.4 |
| Jared Dudley | 0.5 |
| Alfonzo McKinnie | 3.1 |
| Devontae Cacok | 2 |
| Quinn Cook | 2.1 |
| Kostas Antetokounmpo | 0.8 |

### Overview:

The table ranks players based on their average points per game, highlighting key contributors such as LeBron James and Anthony Davis, who lead the scoring for the team. The data can be useful for analyzing player performance trends and identifying strategic opportunities for improvements.

### Miami Heat Player Points Per Game

The following table provides detailed statistics of the Miami Heat players and their average points scored per game.

| **Player Name** | **Points Per Game** |
|-----------------------|---------------------|
| Jimmy Butler | 21.5 |
| Bam Adebayo | 18.7 |
| Duncan Robinson | 13.1 |
| Tyler Herro | 15.1 |
| Kendrick Nunn | 14.6 |
| Trevor Ariza | 9.4 |
| Victor Oladipo | 12 |
| Kelly Olynyk | 10 |
| Goran Dragić | 13.4 |
| Andre Iguodala | 4.4 |
| Avery Bradley | 8.5 |
| Nemanja Bjelica | 5 |
| Gabe Vincent | 4.8 |
| Dewayne Dedmon | 7.1 |
| Max Strus | 6.1 |
| KZ Okpala | 2.5 |
| Precious Achiuwa | 5 |
| Maurice Harkless | 1.4 |
| Meyers Leonard | 3.3 |
| Chris Silva | 2.7 |
| Udonis Haslem | 4 |

This data reflects the players' performances and contributions, highlighting the leading scorers of the team.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution

Step 1

Given information:

The score for Jimmy Butler is 21.5.

Remaining scores other than Jimmy Butler are:

X=Points
18.7
13.1
15.1
14.6
9.4
12
10
13.4
4.4
8.5
5
4.8
7.1
6.1
2.5
5
1.4
3.3
2.7
4

Mean:

$M e a n = \frac{\sum_{} X}{n} = \frac{18.7 + 13.1 + 15.1 + . . . . + 3.3 + 2.7 + 4}{20} = 8.06$

Standard deviation:

$s = \sqrt{\frac{\sum_{} {(x - m e a n)}^{2}}{n - 1}} = \sqrt{\frac{{(18.7 - 8.06)}^{2} + {(13.1 - 8.06)}^{2} + . . . . . + {(2.7 - 8.06)}^{2} + {(4 - 8.06)}^{2}}{20 - 1}} = 4.98$