Answered: 1.1 Add column fXi 1.2 Compute for 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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Hi! The question is in bold/underlined. The answers in Direction 1 an 2 are also attached for reference. Thank you!

Direction1. Construct a Frequency Distribution Table for the above-given data.
1.1 Provide the title for the table and write 1 as the table number.
1.2 Fill-in Column 1 Class Interval. Use 10 class intervals.
Column 2 Class Boundaries
Column 3 Class Marks
Column 4 Frequency
1.3 Show solutions for finding the range, class size, and the lowest class
mark.

Direction 2. Continue constructing the table by adding

Column 5 Cumulative Frequency with <cf and >cf
Column 6 Cumulative Percentage Frequency with <cpf and >cpf
Column 7 Relative Frequency (RF)

Direction 3. Continue constructing the table.

1.1 Add column fXi

1.2 Compute for the mean, the median, and the mode of the given data.
Show your solutions.
1.3 Interpret the results.

DIRECTION 1.1-1.2
LOWEST CLASS MARK = Lower Limit + Upper Limit
2
Frequency
Class Boundary
57.5-62.5
62.5-67.5
67.5-72.5
Class Interval
Class Mark
= 58 + 62
58-62
60
2
63-67
65
68-72
70
5
= 120
73-77
72.5-77.5
75
3
78-82
77.5-82.5
80
4
2
83-87
82.5-87.5
87.5-92.5
92.5-97.5
85
10
88-92
90
9
= 60
93-97
95
6
98-102
97.5-102.5
100
3
103-107
102.5-107.5
105
1
DIRECTION 2
DIRECTION 1.3
Frequency(fi)
(<cf)
2
(>cf)
45
(<cpf)
(>cpf)
RF
0.04
0.04
2
4.44
100.00
RANGE = Maximum Value – Minimum Value
8.89
2
4
43
95.56
5
9
41
20.00
91.11
0.11
= 104 – 58
= 46
80.00
73.33
3
12
36
26.67
0.07
4
16
33
35.56
0.09
10
26
29
57.78
64.44
0.22
9
35
19
77.78
42.22
0.20
6
41
10
91.11
22.22
0.13
3
44
4
97.78
8.89
0.07
CLASS SIZE =
Range
Number of Classes
1
45
1
100.00
2.22
0.02
= 46
10
End of document I
= 4.6
= 5

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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