STAT 1053 Lecture Notes - Lecture 5: Dependent And Independent Variables, Normal Distribution, Skewness

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30 Apr 2018
School
Department
Course
Professor
Sam Gritz
Stat 1053
4/22/2017
Stat Project 2
Introduction: In this project I am comparing the current value vs the operating income of the 32 NFL
teams ranked in order.
Statistics
Value
income
N
Valid
32
32
Missing
1
1
Mean
1965.94
76.21
Median
1760.00
61.55
Mode
1450a
25a
Std. Deviation
629.418
50.445
Variance
396166.835
2544.708
Range
2600
245
According to the statistics, the data seems to be pretty normal for the distribution of income and
value amongst NFL teams. The best team has the highest value and also the highest income and
there should be a greater variance between the best teams and the worst.
Descriptive Statistics
Minimum
Maximum
Mean
Std. Deviation
Variance
Value
1400
4000
1965.94
629.418
396166.835
income
25
270
76.21
50.445
2544.708
Valid N (listwise)
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income
Frequency
Percent
Valid Percent
Cumulative
Percent
Valid
25
1
3.0
3.1
3.1
34
1
3.0
3.1
6.3
35
1
3.0
3.1
9.4
35
1
3.0
3.1
12.5
36
1
3.0
3.1
15.6
39
1
3.0
3.1
18.8
42
1
3.0
3.1
21.9
44
1
3.0
3.1
25.0
44
1
3.0
3.1
28.1
49
1
3.0
3.1
31.3
51
1
3.0
3.1
34.4
54
1
3.0
3.1
37.5
55
1
3.0
3.1
40.6
56
1
3.0
3.1
43.8
57
1
3.0
3.1
46.9
60
1
3.0
3.1
50.0
63
1
3.0
3.1
53.1
65
1
3.0
3.1
56.3
66
1
3.0
3.1
59.4
67
1
3.0
3.1
62.5
70
1
3.0
3.1
65.6
78
1
3.0
3.1
68.8
86
1
3.0
3.1
71.9
89
1
3.0
3.1
75.0
90
1
3.0
3.1
78.1
105
1
3.0
3.1
81.3
115
1
3.0
3.1
84.4
118
1
3.0
3.1
87.5
124
1
3.0
3.1
90.6
125
1
3.0
3.1
93.8
195
1
3.0
3.1
96.9
270
1
3.0
3.1
100.0
Total
32
97.0
100.0
Missing
System
1
3.0
Total
33
100.0
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Value
Frequency
Percent
Valid Percent
Cumulative
Percent
Valid
1400
1
3.0
3.1
3.1
1430
1
3.0
3.1
6.3
1440
1
3.0
3.1
9.4
1450
2
6.1
6.3
15.6
1480
1
3.0
3.1
18.8
1490
1
3.0
3.1
21.9
1500
1
3.0
3.1
25.0
1510
1
3.0
3.1
28.1
1520
1
3.0
3.1
31.3
1530
2
6.1
6.3
37.5
1540
1
3.0
3.1
40.6
1560
1
3.0
3.1
43.8
1590
1
3.0
3.1
46.9
1670
1
3.0
3.1
50.0
1850
1
3.0
3.1
53.1
1870
1
3.0
3.1
56.3
1880
1
3.0
3.1
59.4
1900
1
3.0
3.1
62.5
1930
1
3.0
3.1
65.6
1940
1
3.0
3.1
68.8
1950
1
3.0
3.1
71.9
2400
1
3.0
3.1
75.0
2450
1
3.0
3.1
78.1
2500
1
3.0
3.1
81.3
2600
1
3.0
3.1
84.4
2700
1
3.0
3.1
87.5
2800
1
3.0
3.1
90.6
2850
1
3.0
3.1
93.8
3200
1
3.0
3.1
96.9
4000
1
3.0
3.1
100.0
Total
32
97.0
100.0
Missing
System
1
3.0
Total
33
100.0
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Document Summary

Introduction: in this project i am comparing the current value vs the operating income of the 32 nfl teams ranked in order. According to the statistics, the data seems to be pretty normal for the distribution of income and value amongst nfl teams. The best team has the highest value and also the highest income and there should be a greater variance between the best teams and the worst. According to this histogram it is evident that the value of the highest teams skews the normal curve to the right because they are outliers and significantly higher than the worst teams. It seems as if the same has happened with the income as the values. They are skewed right and normal because the best teams are worth a lot more than the worst teams. The sample size is also greater than 30 so the central limit theorem defines this graph as normally distributed.

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