Answered: Below are actual statistics from the…

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

Below are actual statistics from the 2020-2021 Miami Heat Basketball players. It demonstrates the number of points scored per game for each player on the team during the regular season (in other words the number of points they scored all season, divided by the total number of games they played).

Is the mode a good way to represent the number of points scored per game for all the players on the heat? why or why not?

Why is the mean different from the mode and median? What do you think might be the cause of this difference?

Heat Player
Data Table
Jimmy Butler
Bam Adebayo
Duncan Robinson
Tyler Herro
Kendrick Nunn
Trevor Ariza
Victor Oladipo
Kelly Olynyk
Goran Dragić
Andre Iguodala
Avery Bradley
Nemanja Bjelica
Gabe Vincent
Dewayne
Dedmon
Max Strus
KZ Okpala
Precious Achiuwa
Maurice Harkless
Meyers Leonard
Chris Silva
Udonis Haslem
Points Per Game
21.5
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

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.

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Follow-up Question

what would happen to the mean, median, and mode values that you calculated ,if you added one player to the team whose points per game for the season was 25. just tell me if the mean, median, and mode would go up, down, or stay the same.
Give an example of variable for which the mean would not be appropriate to describe the data (that is, tell me a circumstance in which you would not want to use the mean to describe a dataset)

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