Show that the following equalities hold: a) Population varlance: b) Sample variance: n-1 n-1 n-1 c) Sum of differences from the population mean: E -4) = 0 If the standard deviation of a population is zero, what can you say about the members of tnat population? Explain. , The following scores represent the final examination grade for an elementary statistics course: 24 59 80 31 58 75 55 75 85 37 79 78 80 96 42 66 93 82 56 75 54 11 39 65 76 79 24 67 84 99 80 68 70 84 57 76 89 61 75 42 61 79 a) Construct a stem-and-leaf plot for the examination grades (Hint: Use 10 as stem units, 1 as leaf units.) b) Calculate relative frequencies. c) Construct a relative frequency histogram; draw an estimate of the graph of the distribution and discuss the skewness of the distribution. d) Compute the sample mean, sample median, and sample standard deviation.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Show that the following equalities hold:
a) Population varlance:
b) Sample variance:
n-1
n-1
n-1
c) Sum of differences from the population mean:
E -4) = 0
If the standard deviation of a population is zero, what can you say about the
members of tnat population? Explain.
, The following scores represent the final examination grade for an elementary
statistics course:
24
59
80
31
58
75
55
75
85
37
79
78
80
96
42
66
93
82
56
75
54
11
39
65
76
79
24
67
84
99
80
68
70
84
57
76
89
61
75
42
61
79
a) Construct a stem-and-leaf plot for the examination grades (Hint: Use 10 as stem units, 1 as
leaf units.)
b) Calculate relative frequencies.
c) Construct a relative frequency histogram; draw an estimate of the graph of the distribution and
discuss the skewness of the distribution.
d) Compute the sample mean, sample median, and sample standard deviation.
Transcribed Image Text:Show that the following equalities hold: a) Population varlance: b) Sample variance: n-1 n-1 n-1 c) Sum of differences from the population mean: E -4) = 0 If the standard deviation of a population is zero, what can you say about the members of tnat population? Explain. , The following scores represent the final examination grade for an elementary statistics course: 24 59 80 31 58 75 55 75 85 37 79 78 80 96 42 66 93 82 56 75 54 11 39 65 76 79 24 67 84 99 80 68 70 84 57 76 89 61 75 42 61 79 a) Construct a stem-and-leaf plot for the examination grades (Hint: Use 10 as stem units, 1 as leaf units.) b) Calculate relative frequencies. c) Construct a relative frequency histogram; draw an estimate of the graph of the distribution and discuss the skewness of the distribution. d) Compute the sample mean, sample median, and sample standard deviation.
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