(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 followwing summary

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
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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):
(c.1) arithmetic mean, 12% trimmed
mean, median, and mode
(c.2) range, variance, standard
deviation, and coefficient of variation
(c.3) classification of data set in terms
of its skewness and kurtosis. For
skewness, use 1st coefficient of
skewness.
(d) How many percent of the students have
their grades within three standard deviations
considering the actual data? Compare the
determined percentage with Chebyshev's
rule.
Transcribed Image Text:(c.1) arithmetic mean, 12% trimmed mean, median, and mode (c.2) range, variance, standard deviation, and coefficient of variation (c.3) classification of data set in terms of its skewness and kurtosis. For skewness, use 1st coefficient of skewness. (d) How many percent of the students have their grades within three standard deviations considering the actual data? Compare the determined percentage with Chebyshev's rule.
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