Answered: based on the following data: Make sure…

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

based on the following data: Make sure the graph is fully labeled. Comment on the shape of this histogram. Are any students considered outliers (separated from the next group by more than 1 empty bin)? If so, make sure to mention the specific student using their Student Identifier number?

List the mean, median, and standard deviation. Interpret (explain what they measure) the mean, median, and standard deviation. Compare the mean and median. How does that comparison match the shape of the histogram?

mean: 6.504155

median: 5

Standard derivation: 5.583767

variance: 31.17845

coefficient: 0.858491

Hours
of TV Viewing per
week
0
[0, 2.7]
(2.7, 5.4]
(5.4, 8.1]
(8.1, 10.8]
(10.8, 13.5)
(13.5, 16.2]
(24.3, 27]
(16.2, 18.9]
(18.9, 21.6]
(21.6, 24.3]
(32.4, 35.1]
0
(35.1, 37.8]
(27, 29.7]
(29.7, 32.4]
(37.8, 40.5]
0
4
1
8
0
0
0
1
21
17
Number of Students
40
49
78
142
General Report

1400
1200
1000
800
600
400
200
0
285
Total Hours Viewing per Student Year
1000
800
LL
Number of Hours of TV
600
Senior
1260
Sophomore
584
First Year
Student Year
219
Junior
1600
1400
1200
400
200
1463
Total Hours
M
Student Gender
885
F
■ Number of Hours of TV

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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