92 85 55 76 52 10 64 75 78 25 80 98 81 67 41 71 83 54 64 72 88 62 74 43 60 78 89 76 84 48 84 90 15 79 34 67 17 82 69 74 63 80 85 61 (a) Construct a stem-and-leaf display representing the given data set. Use the tens digits for the stem. (b) Construct a frequency distribution table for the given data set. Use class size of 10 and start from 10 (i.e. 10-19, 20-29 etc.). (c) Determine the following summary measures considering the provided frequency distribution from (b):

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
The following scores represent the final
examination grades for an elementary
statistics course (treated as population):
23
60
79
32
57
74
52
70
82
36
80
77
81
95
41
65
92
85
55
76
52
10
64
75
78
25
80
98
81
67
41
71
83
54
64
72
88
62
74
43
60
78
89
76
84
48
84
90
15
79
34
67
17
82
69
74
63
80
85
61
(a) Construct a stem-and-leaf display
representing the given data set. Use the tens
digits for the stem.
(b) Construct a frequency distribution table
for the given data set. Use class size of 10
and start from 10 (i.e. 10-19, 20-29 etc.).
(c) Determine the following summary
measures considering the provided
frequency distribution from (b):
Transcribed Image Text:The following scores represent the final examination grades for an elementary statistics course (treated as population): 23 60 79 32 57 74 52 70 82 36 80 77 81 95 41 65 92 85 55 76 52 10 64 75 78 25 80 98 81 67 41 71 83 54 64 72 88 62 74 43 60 78 89 76 84 48 84 90 15 79 34 67 17 82 69 74 63 80 85 61 (a) Construct a stem-and-leaf display representing the given data set. Use the tens digits for the stem. (b) Construct a frequency distribution table for the given data set. Use class size of 10 and start from 10 (i.e. 10-19, 20-29 etc.). (c) Determine the following summary measures considering the provided frequency distribution from (b):
(e) Determine the z-score of the second
lowest and the second highest grades
among the population.
(f) What should be the minimum grade of
the student in order for him/her to have a
grade:
(f.1) higher than 40% of the student
population?
(f.2) higher than 75% of the student
population?
(f.3) higher than 90% of the student
population?
Consider the frequency distribution from (b)
for the calculations.
Transcribed Image Text:(e) Determine the z-score of the second lowest and the second highest grades among the population. (f) What should be the minimum grade of the student in order for him/her to have a grade: (f.1) higher than 40% of the student population? (f.2) higher than 75% of the student population? (f.3) higher than 90% of the student population? Consider the frequency distribution from (b) for the calculations.
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