Question: Why is the value that you calculated for the mean different from the mode and median?Data table:PLAYER'S NAMEPOINTS PER GAME in 21-22 seasonBam Adebayo19.1Caleb Martin9.2Chris Silva2.9Dewayne Dedmon6.3Duncan Robinson10.9Gabe Vincent8.7Haywood Highsmith2.3Javonte Smart5Jimmy Butler21.4KZ Okpala3.7Kyle Guy3.9Kyle Lowry13.4Marcus Garrett1.1Markieff Morris7.6Max Strus10.6Mychal Mulder7Nik Stauskas5.5Omer Yurtseven5.3P.J. Tucker7.6Tyler Herro20.7Udonis Haslem2.5Victor Oladipo12.4

The formula for the mean is as follows, x¯=∑i=1nxin The formula for the median is as follows, If the…

Answered: Question: Why is the value that you…

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: Why is the value that you calculated for the mean different from the mode and median?

Data table:

PLAYER'S NAME	POINTS PER GAME in 21-22 season
Bam Adebayo	19.1
Caleb Martin	9.2
Chris Silva	2.9
Dewayne Dedmon	6.3
Duncan Robinson	10.9
Gabe Vincent	8.7
Haywood Highsmith	2.3
Javonte Smart	5
Jimmy Butler	21.4
KZ Okpala	3.7
Kyle Guy	3.9
Kyle Lowry	13.4
Marcus Garrett	1.1
Markieff Morris	7.6
Max Strus	10.6
Mychal Mulder	7
Nik Stauskas	5.5
Omer Yurtseven	5.3
P.J. Tucker	7.6
Tyler Herro	20.7
Udonis Haslem	2.5
Victor Oladipo	12.4

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

Expert Solution

Step 1

The formula for the mean is as follows,

$\bar{x} = \frac{\sum_{i = 1}^{n} x_{i}}{n}$

The formula for the median is as follows,

If the sample size is odd

$M = {(\frac{n + 1}{2})}^{t h} Observation$

If the sample size is even

$M = \frac{{(\frac{n}{2})}^{t h} observation + {(\frac{n}{2} + 1)}^{t h} observation}{2}$

The mode is the most frequent observation.

The given data is as follows,

Player's Name	Points per game
Bam Adebayo	19.1
Caleb Martin	9.2
Chris Silva	2.9
Dewayne Dedmon	6.3
Duncan Robinson	10.9
Gabe Vincent	8.7
Haywood Highsmith	2.3
Javonte Smart	5
Jimmy Butler	21.4
KZ Okpala	3.7
Kyle Guy	3.9
Kyle Lowry	13.4
Marcus Garrett	1.1
Markieff Morris	7.6
Max Strus	10.6
Mychal Mulder	7
Nik Stauskas	5.5
Omer Yurtseven	5.3
P.J. Tucker	7.6
Tyler Herro	20.7
Udonis Haslem	2.5
Victor Oladipo	12.4