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Author's title

Author

*Unverified author*

R Software Module

skewkurt.wasp

Title produced by software

Skewness and Kurtosis

Date of computation

Mon, 10 Sep 2007 05:58:14 -0700

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2007/Sep/10/uz3nu9c8v0qwus91189430560.htm/, Retrieved Sat, 04 May 2024 22:06:48 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=14521, Retrieved Sat, 04 May 2024 22:06:48 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

I am interested in analysis of this data set and determining whether or not the data set is normal. From Excel I know the kurtosis is ~49, and ran across this online web calculator

IsPrivate?

No (this computation is public)

User-defined keywords

kurtosis, test of normalcy

Estimated Impact

306

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Skewness and Kurtosis] [Kurtosis analysis...] [2007-09-10 12:58:14] [7290d6b1f1458098d2f225877e609ba6] [Current]
-  M D    [Skewness and Kurtosis] [] [2010-11-30 18:24:16] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:28:06] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:29:15] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:30:27] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:31:44] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:32:44] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:33:51] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:34:46] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:35:50] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:36:46] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:38:06] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:39:31] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:40:29] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:41:32] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:42:29] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:43:23] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:44:29] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:46:08] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:47:15] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:48:13] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:49:43] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:50:37] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:51:46] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:52:42] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:53:35] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:54:32] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:55:30] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:56:43] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:57:36] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:58:37] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:59:47] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 19:00:42] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 19:01:49] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 19:02:52] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 19:03:57] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 19:04:53] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 19:06:12] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 19:07:18] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 19:08:22] [b659239b537e56f17142ee5c56ad6265] 
-    D      [Skewness and Kurtosis] [] [2010-11-30 19:09:14] [b659239b537e56f17142ee5c56ad6265] 
-  M D      [Quasi Random-Walk Identification] [] [2010-11-30 19:15:45] [b659239b537e56f17142ee5c56ad6265] 
-  M D      [Quasi Random-Walk Identification] [] [2010-11-30 19:19:31] [b659239b537e56f17142ee5c56ad6265] 
-  M D      [Quasi Random-Walk Identification] [] [2010-11-30 19:21:22] [b659239b537e56f17142ee5c56ad6265] 
-  M D      [Quasi Random-Walk Identification] [] [2010-11-30 19:22:40] [b659239b537e56f17142ee5c56ad6265] 

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Dataseries X:

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359.17
288.64
249.24
248.78
234.85
217.68
182.85
178.69
165.94
164.87
164.83
164.4
162.03
161.45
159.47
159.27
153.64
153.5
149.49
148.18
148
146.86
140.3
132.97
127.5
127.07
126.4
121.07
117.76
116.99
116.39
111.42
111.1
107.74
107.64
104.27
103
101.91
99.67
99.51
96.67
96
95.16
94.52
92.58
92.25
91.78
90.8
89.35
89.03
89
86.92
86.34
85.94
85.5
85.45
85.4
85.25
85.01
84.45
84.05
83.99
82.97
82.45
82.15
82.15
82.11
81.91
81.68
81.2
81
80.73
80.45
79.8
79
79
79
78.6
78.4
78.32
78
77.95
77.39
77.36
76.99
76.8
76
76
75
73.7
73
72.95
72.85
72.7
72
71.72
71.45
71.29
71.2
71
70.5
70.2
70.18
70.15
70
70
69.75
69.45
69.25
69
68.4
68.14
68.1
68
68
67.8
67.3
67.2
67
66.6
66.38
66
66
66
66
65.71
65.15
65
64.5
64.2
64
64
64
63.85
63.75
63
63
63
62.8
62.44
62
61.95
61.85
61.65
61.62
61
60.7
60.45
60
59.85
59.74
59.15
59
59
57.95
56.7
56.52
56.25
56.15
56
55.6
55.5
55.2
55.15
55
54.87
54.58
54.5
54.05
54.05
53
53
52.5
52.17
52.15
52
52
51.51
51.5
51.5
51.35
51.35
51.22
51.13
51
50.5
50.5
50.42
50.4
50.25
50
50
50
50
49.7
49.5
49
49
48.72
48.25
48
48
48
48
47.5
47.1
47.1
47
47
47
46.55
46.5
46.2
46
46
45.55
45
45
45
45
44.6
44.46
44
43.82
43.5
43.3
43.1
43
43
43
43
42.2
42.1
42
42
42
42
42
41.7
41.4
41.2
41.1
41
40.77
40.75
40.5
40.49
40.4
40
40
40
40
39.75
39.25
39.25
39
38.8
38.5
38.38
38.12
38
38
38
38
38
38
37.8
37.8
37.8
37.8
37.8
37.75
37.5
37.4
37.3
37.3
37.3
37
37
37
36.8
36.8
36.8
36.4
36.3
36.24
36
36
35.85
35.85
35.5
35.4
35.2
35.04
35
35
35
34.96
34.8
34.7
34
34
33.7
33.7
33.6
33.4
33.4
33.35
33.29
33.25
33
33
32.95
32.9
32.7
32.4
32.39
32.25
32.25
32.23
32.15
31.95
31.75
31.7
31.6
31.4
31.35
31.2
31
31
31
31
31
30.95
30.85
30.85
30.55
30.45
30.33
30.15
30.1
30.1
30
30
30
30
29.85
29.8
29.35
29.25
29.15
29.05
29.05
29.05
29
29
29
29
29
28.8
28.8
28.55
28.55
28.35
28.35
28.35
28.35
28.15
28.1
28
28
28
28
28
28
28
28
28
28
28
27.85
27.8
27.7
27.65
27.6
27.45
27.4
27.15
27.15
27.1
27.1
27.1
27.1
27
27
26.85
26.8
26.7
26.55
26.35
26.25
26.25
26.25
26.15
26.15
26.05
26
26
25.65
25.5
25.3
25.2
25.2
25.1
25.1
25
25
25
25
24.85
24.8
24.45
24.34
24.25
24.25
24.25
24.05
24
24
23.8
23.75
23.55
23.3
23.2
23.2
23
23
22.95
22.6
22.6
22.6
22.5
22.5
22.45
22.45
22.4
22.4
22.4
22.3
22.2
22.1
22.05
22
22
21.95
21.95
21.9
21.8
21.8
21.75
21.75
21.7
21.5
21.45
21.37
21.35
21.35
21.25
21.25
21
21
21
21
21
21
20.85
20.75
20.55
20.45
20.4
20.4
20.4
20.4
20.25
20.25
20.25
20.15
20.15
20.1
20.05
20.05
20
19.94
19.7
19.7
19.7
19.7
19.7
19.65
19.6
19.6
19.6
19.6
19.5
19.5
19.5
19.5
19.45
19.35
19.35
19.35
19.35
19.3
19.25
19.1
19.05
19.05
19.05
19.05
19
18.95
18.8
18.8
18.7
18.7
18.7
18.7
18.55
18.55
18.55
18.5
18.45
18.35
18.35
18.2
18.15
18.1
18.05
17.9
17.85
17.75
17.75
17.75
17.75
17.75
17.75
17.7
17.7
17.6
17.6
17.6
17.6
17.6
17.6
17.6
17.6
17.6
17.55
17.55
17.5
17.5
17.5
17.5
17.5
17.45
17.3
17.2
17
16.8
16.8
16.8
16.8
16.8
16.8
16.8
16.8
16.8
16.8
16.8
16.8
16.8
16.8
16.8
16.7
16.7
16.7
16.65
16.55
16.5
16.5
16.5
16.5
16.4
16.4
16.35
16.3
16.25
16.2
16.2
16.2
16.2
16.1
16.1
16.1
16.1
16.1
16.1
16
15.8
15.8
15.8
15.75
15.7
15.7
15.5
15.5
15.45
15.45
15.4
15.2
14.95
14.9
14.85
14.85
14.85
14.85
14.85
14.8
14.8
14.8
14.8
14.75
14.75
14.75
14.7
14.7
14.55
14.55
14.5
14.3
14.3
14.3
14.3
14.3
14.25
14.07
14
14
13.95
13.95
13.95
13.9
13.9
13.9
13.9
13.9
13.85
13.75
13.65
13.05
13.05
13
13
13
13
13
13
13
13
13
13
12.95
12.95
12.95
12.95
12.95
12.95
12.95
12.95
12.85
12.8
12.8
12.8
12.8
12.8
12.7
12.65
12.65
12.53
12.5
12.5
12.5
12.5
12.5
12.5
12.5
12.5
12.5
12.5
12.5
12.5
12.5
12.3
12.15
12.05
12.05
12.05
12.05
12.05
12.05
12.05
12.05
12.05
12.05
12.05
12.05
12.05
12.05
12.05
12.05
12.05
12.05
12.05
12
11.9
11.9
11.85
11.85
11.85
11.8
11.8
11.8
11.8
11.8
11.8
11.6
11.5
11.35
11.2
11.2
11.2
11.2
11.2
11.2
11.15
11.15
11.15
11.1
11.1
11.1
11.1
11.1
11.1
11.1
11.1
11.1
11.1
11.1
11.1
11.1
11.1
11.1
11.1
11.1
11.1
11.1
11.1
11.1
11.1
11.05
11.05
11.05
11
10.95
10.95
10.95
10.95
10.95
10.95
10.95
10.9
10.85
10.7
10.7
10.7
10.7
10.7
10.7
10.7
10.25
10.25
10.2
10.1
10.05
10.05
10
10
10
9.64
9.54
9.5
9.4
9.4
9.35
9.35
9.35
9.35
9.3
9.3
9.3
9.3
9.25
9.2
9.2
9.2
9.2
9.15
9.15
9.15
9.15
9.15
9.15
9.15
9.15
9.1
9.1
9.1
9.1
9.1
9.1
9.1
9.1
9.1
9.1
9.1
9.1
9.05
9.05
8.85
8.85
8.85
8.85
8.85
8.85
8.85
8.85
8.85
8.85
8.85
8.85
8.85
8.85
8.35
8.35
8.35
8.35
8.35
8.3
8.3
8.25
8.25
8.25
8.25
8.25
8.25
8.25
8.25
8.25
8.25
8.25
8.25
8.25
8.25
8.25
8.25
8.25
8.25
8.25
8.25
8.25
8.25
8.25
8.25
8.25
8.25
8.25
8.25
8.25
8.25
8.25
8.25
8.2
8.2
8.2
8.2
8.2
8.2
8.2
8.2
8.2
8.05
7.8
7.8
7.8
7.5
7.5
7.5
7.5
7.5
7.5
7.5
7.5
7.5
7.5
7.5
7.5
7.5
7.5
7.5
7.5
7.5
7.5
7.5
7.45
7.45
7.45
7.45
7.4
7.4
7.4
7.4
7.4
7.35
7.35
7.35
7.35
7.35
7.3
7.3
7.3
7.3
7.3
7.3
7.3
7.3
7.3
7.3
7.3
7.3
7.3
7.3
7.3
7.3
7.3
7.3
7.3
7.3
7.3
7.3
7.3
7.3
7.3
7.25
7.25
7.25
7.25
7.25
7.25
7.25
7.25
7.25
7.25
7.25
7.25
7.25
7.25
7.25
7.25
7.25
7.25
7.25
7.25
7.25
7.25
7.25
7.25
7.25
7.25
7.2
7.05
7.05
7.05
7.05
7
7
6.79
6.55
6.55
6.55
6.55
6.55
6.55
6.55
6.55
6.55
6.5
6.4
6.4
6.35
6.35
6.35
6.35
6.35
6.35
6.35
6.35
6.35
6.35
6.35
6.35
6.35
6.35
6.35
6.35
6.35
6.35
6.35
6.35
6.35
6.35
6.35
6.35
6.35
6.35
6.35
6.35
6.35
6.35
6.35
6.35
6.35
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.6
5.55
5.55
5.55
5.55
5.55
5.55
5.5
5.5
5.5
5.45
5.45
5.4
5.4
5.4
5.4
5.4
5.4
5.4
5.4
5.4
5.4
5.4
5.4
5.4
5.25
5.25
5.25
5.25
5.25
5.1
5
5
5
5
5
5
5
5
4.65
4.65
4.65
4.65
4.65
4.65
4.65
4.65
4.65
4.65
4.65
4.65
4.65
4.65
4.65
4.65
4.65
4.65
4.65
4.65
4.65
4.65
4.55
4.55
4.55
4.55
4.55
4.55
4.55
4.55
4.2
4
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.65
3.65
3.65
3.65
3.65
3.6
3.6
3.6
3.6
3.6
3.5
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
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3
3
3
3
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3
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3
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3
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3
3
3
3
3
3
3
3
3
3
3
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3
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3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2.75
2.75
2.75
2.75
2.75
2.75
2.75
2.75
2.75
2.75
2.75
2.75
2.75
2.75
2.75
2.75
2.75
2.75
2.75
2.75
2.75
2.75
2.75
2.75
2.75
2.75
2.75
2.75
2.75
2.75
2.75
2.75
2.75
2.75
2
2
2
2
2
2
2
2
2
2
2
2
2
2
1.8
1.8
1.8
1.8
1.8
1.8
1.8
1.8
1.8
1.8
1.8
1.8
1.8
1.8
1.8
1.8
1.8
1.8
1.8
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1.8
1.8
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1.8
1.8
1.8
1.8
1.8
1.8
1.8
1.8
1.8
1.8
1.8
1.8
1.8
1.8
1.8
1.8
1.8
1.8
1.8
1.8
1.8
1.8
1.65
1.5
1.5
1.5
1.45
1.45
1.45
1.35
1.15
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
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1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0.6
0.6
0.5
0.35
0.25
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-11
-11
-11
-11
-11
-11
-11
-11
-11
-11.5
-11.5
-11.5
-11.5
-11.5
-11.5
-11.5
-11.6
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12
-12.26
-12.53
-12.55
-12.65
-12.74
-12.83
-13
-13
-13
-13
-13
-13
-13.4
-13.4
-13.7
-13.7
-13.8
-13.8
-14
-14
-14
-14
-14
-14
-14
-14
-14
-14
-14
-14
-14
-14
-14
-14
-14
-14
-14
-14
-14
-14
-14
-14
-14
-14
-14
-14
-14
-14.65
-14.75
-15
-15
-15
-15
-15.4
-16
-16
-16
-16
-16
-16
-16
-16
-16
-16
-16
-16
-16
-16
-16
-16
-16
-16
-16
-16
-16
-16
-16.19
-16.35
-16.5
-16.5
-16.99
-17
-17
-17
-17
-17
-17.35
-17.4
-17.4
-17.4
-17.4
-17.46
-17.7
-17.7
-18
-18
-18
-18
-18
-18
-18
-18
-18
-18
-18
-18
-18
-18
-18
-18
-18.34
-18.35
-18.35
-18.35
-18.35
-18.35
-18.35
-18.4
-18.4
-19
-19
-19
-19
-19.08
-19.15
-19.2
-19.2
-19.3
-19.3
-19.3
-19.3
-19.3
-19.35
-19.35
-19.7
-19.86
-20
-20
-20
-20
-20
-20
-20
-20
-20
-20
-20
-20
-20.1
-20.25
-20.25
-20.25
-20.25
-20.25
-20.25
-20.3
-20.43
-20.5
-20.55
-20.55
-20.65
-21
-21
-21
-21
-21
-21
-21
-21
-21.25
-21.25
-21.25
-21.25
-21.25
-21.25
-21.41
-21.5
-21.6
-22
-22
-22
-22
-22
-22
-22
-22.2
-22.2
-22.2
-22.2
-22.2
-22.25
-22.45
-23
-23
-23
-23
-23
-23
-23
-23.1
-23.1
-23.1
-23.1
-23.1
-23.5
-23.95
-24
-24
-24
-24
-24
-24
-24
-24
-24
-24
-24
-24
-24
-24
-24
-24
-24
-24.05
-24.05
-24.05
-24.05
-24.05
-24.05
-24.25
-24.25
-24.25
-24.25
-24.25
-24.25
-24.25
-24.35
-24.8
-25
-25
-25
-25
-25
-25
-25
-25
-25
-25
-25
-25
-25
-25.65
-25.95
-25.95
-26
-26
-26
-26
-26
-26
-26
-26
-26
-26
-26
-26.1
-26.15
-26.95
-27
-27
-27
-27
-27
-27
-27
-27.35
-27.36
-27.4
-27.5
-27.7
-27.9
-28
-28
-28
-28
-28
-28
-28
-28
-28
-28.8
-28.8
-28.8
-28.8
-28.8
-28.8
-28.85
-28.95
-29
-29
-29
-29
-29
-29
-29.6
-29.75
-29.95
-30
-30
-30
-30
-30
-30
-30
-30
-30.5
-30.7
-30.8
-30.9
-30.95
-31
-31
-31
-31
-31
-31
-31
-31.4
-31.7
-31.7
-31.7
-31.7
-31.7
-31.75
-32
-32
-32
-32.1
-32.7
-32.75
-33
-33
-33.6
-33.6
-33.6
-33.6
-33.65
-34
-34
-34
-34
-34
-34.4
-34.5
-34.55
-34.85
-35
-35.63
-35.75
-35.8
-35.9
-36
-36
-36
-36
-36
-36.55
-37
-37
-37
-38
-38
-38
-38
-38.45
-38.9
-39.3
-39.35
-40
-40
-40
-40.2
-40.25
-40.4
-40.4
-40.95
-41
-41
-41
-41.1
-41.2
-41.5
-42
-42
-42.55
-43.8
-44
-44.15
-44.4
-44.45
-44.85
-45
-45
-45
-45.1
-45.1
-45.25
-45.95
-46.2
-46.25
-46.95
-47
-47.2
-48
-48
-48
-48
-49
-49.1
-49.3
-49.6
-50
-50.97
-51
-51.5
-51.7
-52
-52
-52
-52.15
-53
-53.2
-53.8
-54
-54
-54.05
-54.15
-54.85
-55
-55
-55.05
-55.2
-55.31
-55.9
-56.75
-57
-57
-57.56
-57.9
-58
-58
-59.1
-60
-60
-60.2
-60.47
-60.7
-62
-62
-64.65
-66
-66
-66.6
-66.85
-67.78
-68
-68
-68.5
-68.7
-69.4
-69.57
-69.57
-70.75
-70.85
-71
-71.22
-71.6
-71.9
-72.75
-72.75
-72.76
-73
-73.85
-74
-75
-75.6
-77
-77
-78
-79.65
-79.95
-80
-80
-80.15
-80.15
-80.3
-81.05
-81.45
-82.2
-82.45
-83
-83.37
-83.84
-83.85
-83.92
-84.31
-84.95
-85.8
-89
-92.23
-97.63
-98
-98.4
-119.61
-121.2
-130.28
-139.24
-141.52
-177.59
-178.56
-192.9
-253.92

Figure 1