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*The author of this computation has been verified*

R Software Module

skewkurt.wasp

Title produced by software

Skewness and Kurtosis

Date of computation

Tue, 30 Nov 2010 14:47:24 +0000

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Nov/30/t1291128332pi1o2ixnuis047m.htm/, Retrieved Mon, 29 Apr 2024 10:16:33 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103553, Retrieved Mon, 29 Apr 2024 10:16:33 +0000

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112

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-       [Skewness and Kurtosis] [] [2010-11-30 14:47:24] [fff0a1ca5ad3b1801f382406d5a383a7] [Current]

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53.28421928
53.57070788
53.15634144
52.50000307
54.5393573
52.19554934
44.82215756
56.32501051
49.68200774
49.00237257
52.77454385
48.83008284
46.76075243
48.51100595
51.89394866
48.30820099
49.52905452
53.42231699
50.08896123
50.15880586
48.06601084
50.71109668
48.68257935
50.50983021
47.49243064
44.10600719
51.98615963
44.76280138
52.09642638
47.14128884
51.41940071
46.22833028
52.74818726
48.40644302
47.72814495
51.54251554
41.98063772
48.79972509
49.62305038
52.16928923
52.66987049
51.2499753
50.03606875
52.01398676
49.57874227
46.55951792
51.87590829
48.77628949
49.70543669
49.56285722
55.65310458
44.806693
47.75821996
53.74111388
55.42717369
56.55036344
43.58663634
48.61313878
47.13161109
55.84727755
51.13288047
54.49743136
49.23787662
48.69663938
55.71988667
55.43779037
48.59843389
51.70599444
45.46701032
51.13161864
48.85655287
52.78746621
48.29631252
43.15300237
45.90034803
50.67949929
49.38807955
54.44388843
52.40409141
55.28138524
53.81638483
46.59327662
51.91901994
46.95328752
52.90257117
48.28375625
52.43486774
54.54360136
52.15768843
50.18579233
52.37048382
51.60871107
49.70161789
44.40413196
51.40178193
45.56632727
52.05185838
52.86439835
46.01946381
45.11774126
54.76906993
47.45599018
50.47947592
50.18171886
51.09746774
49.63466153
49.21884782
51.88854951
45.95410303
48.20174666
48.47080285
48.87950105
54.46293951
49.98053587
54.69003678
54.30846821
51.79424526
45.04368029
48.51569315
48.78252138

Skewness and Kurtosis - Ungrouped Data
Skewness Measure	Value	Kurtosis Measure	Value
FISHER 3rd Cent. Mom.	-6.108170	FISHER 4th Cent. Mom.	256.700389
FISHER beta 1	0.035693	FISHER beta 2	2.492296
FISHER gamma 1	-0.188926	FISHER gamma 2	-0.507704
FISHER gamma 1 (S.E.)	0.223607	FISHER gamma 2 (S.E.)	0.447214
FISHER Test 1	-0.844901	FISHER Test 2	-1.135261
FISHER Test 1 Probability	0.395400	FISHER Test 2 Probability	0.254200
Pearson 2	0.073121
Yule using Quartile definition:Weighted Average at Xnp	0.110190
Yule using Quartile definition:Weighted Average at X(n+1)p	0.115965
Yule using Quartile definition:Empirical Distribution Function	0.110190
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.115119
Yule using Quartile definition:Empirical Distribution Function - Interpolation	0.114268
Yule using Quartile definition:Closest Observation	0.110190
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	0.114268
Yule using Quartile definition:MS Excel (old versions)	0.116807
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.191326	Kurtosis (small sample)	-0.477795
Skewness S.E. (small sample)	0.220879	Kurtosis S.E. (small sample)	0.438331
TEST 1 (small sample)	-0.866203	TEST 1 (small sample)	-1.090033
TEST 1 Prob. (small sample)	0.384400	TEST 1 Prob. (small sample)	0.271400
Observations	120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure

Value

Kurtosis Measure

Value \tabularnewline FISHER 3rd Cent. Mom.

-6.108170 & FISHER 4th Cent. Mom.

256.700389 \tabularnewline FISHER beta 1

0.035693 & FISHER beta 2

2.492296 \tabularnewline FISHER gamma 1

-0.188926 & FISHER gamma 2

-0.507704 \tabularnewline FISHER gamma 1 (S.E.)

0.223607 & FISHER gamma 2 (S.E.)

0.447214 \tabularnewline FISHER Test 1

-0.844901 & FISHER Test 2

-1.135261 \tabularnewline FISHER Test 1 Probability

0.395400 & FISHER Test 2 Probability

0.254200 \tabularnewline Pearson 2

0.073121 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp

0.110190 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p

0.115965 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function

0.110190 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging

0.115119 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation

0.114268 & & \tabularnewline Yule using Quartile definition:Closest Observation

0.110190 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit

0.114268 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)

0.116807 & & \tabularnewline Skewness Measure (small sample)

Value

Kurtosis Measure (small sample)

Value \tabularnewline Skewness (small sample)

-0.191326 & Kurtosis (small sample)

-0.477795 \tabularnewline Skewness S.E. (small sample)

0.220879 & Kurtosis S.E. (small sample)

0.438331 \tabularnewline TEST 1 (small sample)

-0.866203 & TEST 1 (small sample)

-1.090033 \tabularnewline TEST 1 Prob. (small sample)

0.384400 & TEST 1 Prob. (small sample)

0.271400 \tabularnewline Observations

120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103553&T=0

[TABLE]

[ROW][C]Skewness and Kurtosis - Ungrouped Data[/C][/ROW]

[ROW][C]Skewness Measure[/C]

Value[/C]

Kurtosis Measure[/C]

Value[/C][/ROW] [ROW][C]FISHER 3rd Cent. Mom.[/C]

-6.108170[/C][C]FISHER 4th Cent. Mom.[/C]

256.700389[/C][/ROW] [ROW][C]FISHER beta 1[/C]

0.035693[/C][C]FISHER beta 2[/C]

2.492296[/C][/ROW] [ROW][C]FISHER gamma 1[/C]

-0.188926[/C][C]FISHER gamma 2[/C]

-0.507704[/C][/ROW] [ROW][C]FISHER gamma 1 (S.E.)[/C]

0.223607[/C][C]FISHER gamma 2 (S.E.)[/C]

0.447214[/C][/ROW] [ROW][C]FISHER Test 1[/C]

-0.844901[/C][C]FISHER Test 2[/C]

-1.135261[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]

0.395400[/C][C]FISHER Test 2 Probability[/C]

0.254200[/C][/ROW] [ROW][C]Pearson 2[/C]

0.073121[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]

0.110190[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]

0.115965[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]

0.110190[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]

0.115119[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]

0.114268[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]

0.110190[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]

0.114268[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]

0.116807[/C][C][/C][C][/C][/ROW] [ROW][C]Skewness Measure (small sample)[/C]

Value[/C]

Kurtosis Measure (small sample)[/C]

Value[/C][/ROW] [ROW][C]Skewness (small sample)[/C]

-0.191326[/C][C]Kurtosis (small sample)[/C]

-0.477795[/C][/ROW] [ROW][C]Skewness S.E. (small sample)[/C]

0.220879[/C][C]Kurtosis S.E. (small sample)[/C]

0.438331[/C][/ROW] [ROW][C]TEST 1 (small sample)[/C]

-0.866203[/C][C]TEST 1 (small sample)[/C]

-1.090033[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]

0.384400[/C][C]TEST 1 Prob. (small sample)[/C]

0.271400[/C][/ROW] [ROW][C]Observations[/C]

120[/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103553&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103553&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Skewness and Kurtosis - Ungrouped Data
Skewness Measure	Value	Kurtosis Measure	Value
FISHER 3rd Cent. Mom.	-6.108170	FISHER 4th Cent. Mom.	256.700389
FISHER beta 1	0.035693	FISHER beta 2	2.492296
FISHER gamma 1	-0.188926	FISHER gamma 2	-0.507704
FISHER gamma 1 (S.E.)	0.223607	FISHER gamma 2 (S.E.)	0.447214
FISHER Test 1	-0.844901	FISHER Test 2	-1.135261
FISHER Test 1 Probability	0.395400	FISHER Test 2 Probability	0.254200
Pearson 2	0.073121
Yule using Quartile definition:Weighted Average at Xnp	0.110190
Yule using Quartile definition:Weighted Average at X(n+1)p	0.115965
Yule using Quartile definition:Empirical Distribution Function	0.110190
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.115119
Yule using Quartile definition:Empirical Distribution Function - Interpolation	0.114268
Yule using Quartile definition:Closest Observation	0.110190
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	0.114268
Yule using Quartile definition:MS Excel (old versions)	0.116807
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.191326	Kurtosis (small sample)	-0.477795
Skewness S.E. (small sample)	0.220879	Kurtosis S.E. (small sample)	0.438331
TEST 1 (small sample)	-0.866203	TEST 1 (small sample)	-1.090033
TEST 1 Prob. (small sample)	0.384400	TEST 1 Prob. (small sample)	0.271400
Observations	120

Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)	Value	Probability	Kurtosis Measure (small sample)	Value	Probability
Trim. Skewness (0/120)	-0.191300	0.384400	Trim. Kurtosis (0/120)	-0.477800	0.271400
Trim. Skewness (1/120)	-0.144600	0.515600	Trim. Kurtosis (1/120)	-0.615200	0.161600
Trim. Skewness (2/120)	-0.129000	0.562000	Trim. Kurtosis (2/120)	-0.673800	0.128600
Trim. Skewness (3/120)	-0.110200	0.624200	Trim. Kurtosis (3/120)	-0.711100	0.111800
Trim. Skewness (4/120)	-0.101500	0.652800	Trim. Kurtosis (4/120)	-0.730000	0.105200
Trim. Skewness (5/120)	-0.098500	0.667200	Trim. Kurtosis (5/120)	-0.747100	0.101000
Trim. Skewness (6/120)	-0.099500	0.667200	Trim. Kurtosis (6/120)	-0.751100	0.103200
Trim. Skewness (7/120)	-0.101300	0.660000	Trim. Kurtosis (7/120)	-0.769800	0.097000
Trim. Skewness (8/120)	-0.097600	0.674400	Trim. Kurtosis (8/120)	-0.803900	0.085400
Trim. Skewness (9/120)	-0.082500	0.726400	Trim. Kurtosis (9/120)	-0.819900	0.081800
Trim. Skewness (10/120)	-0.063200	0.787200	Trim. Kurtosis (10/120)	-0.848800	0.075000
Trim. Skewness (11/120)	-0.049300	0.833600	Trim. Kurtosis (11/120)	-0.863200	0.073400
Trim. Skewness (12/120)	-0.035800	0.880800	Trim. Kurtosis (12/120)	-0.890900	0.067200
Trim. Skewness (13/120)	-0.033000	0.888600	Trim. Kurtosis (13/120)	-0.911600	0.062800
Trim. Skewness (14/120)	-0.030000	0.904400	Trim. Kurtosis (14/120)	-0.951400	0.054800
Trim. Skewness (15/120)	-0.028600	0.904400	Trim. Kurtosis (15/120)	-1.020200	0.042400
Trim. Skewness (16/120)	-0.031000	0.896600	Trim. Kurtosis (16/120)	-1.097200	0.030800
Trim. Skewness (17/120)	-0.025100	0.920400	Trim. Kurtosis (17/120)	-1.129700	0.027800
Trim. Skewness (18/120)	-0.015000	0.952200	Trim. Kurtosis (18/120)	-1.180600	0.022600
Trim. Skewness (19/120)	-0.003100	0.984000	Trim. Kurtosis (19/120)	-1.229100	0.019200
Trim. Skewness (20/120)	0.008200	0.968000	Trim. Kurtosis (20/120)	-1.272000	0.016400
Trim. Skewness (21/120)	0.018800	0.944200	Trim. Kurtosis (21/120)	-1.309300	0.014600
Trim. Skewness (22/120)	0.039200	0.880800	Trim. Kurtosis (22/120)	-1.361600	0.012400
Trim. Skewness (23/120)	0.056000	0.833600	Trim. Kurtosis (23/120)	-1.381500	0.012000
Trim. Skewness (24/120)	0.076800	0.779400	Trim. Kurtosis (24/120)	-1.411700	0.011400
Trim. Skewness (25/120)	0.090500	0.749000	Trim. Kurtosis (25/120)	-1.428100	0.011400
Trim. Skewness (26/120)	0.106200	0.711400	Trim. Kurtosis (26/120)	-1.456000	0.011000
Trim. Skewness (27/120)	0.106700	0.711400	Trim. Kurtosis (27/120)	-1.469500	0.011400
Trim. Skewness (28/120)	0.103600	0.726400	Trim. Kurtosis (28/120)	-1.477800	0.012000
Trim. Skewness (29/120)	0.104600	0.726400	Trim. Kurtosis (29/120)	-1.474100	0.013800
Trim. Skewness (30/120)	0.108300	0.718800	Trim. Kurtosis (30/120)	-1.470300	0.015600
Trim. Skewness (31/120)	0.113100	0.711400	Trim. Kurtosis (31/120)	-1.470200	0.017400
Trim. Skewness (32/120)	0.114000	0.718800	Trim. Kurtosis (32/120)	-1.468200	0.019200
Trim. Skewness (33/120)	0.121400	0.704000	Trim. Kurtosis (33/120)	-1.452400	0.022600
Trim. Skewness (34/120)	0.128800	0.696600	Trim. Kurtosis (34/120)	-1.435000	0.027200
Trim. Skewness (35/120)	0.137700	0.681800	Trim. Kurtosis (35/120)	-1.420600	0.031600
Trim. Skewness (36/120)	0.145700	0.667200	Trim. Kurtosis (36/120)	-1.398500	0.037600
Trim. Skewness (37/120)	0.157100	0.652800	Trim. Kurtosis (37/120)	-1.374600	0.045600
Trim. Skewness (38/120)	0.167100	0.638400	Trim. Kurtosis (38/120)	-1.344500	0.054800
Trim. Skewness (39/120)	0.179700	0.617000	Trim. Kurtosis (39/120)	-1.313800	0.065800
Trim. Skewness (40/120)	0.192200	0.603000	Trim. Kurtosis (40/120)	-1.269900	0.081800

\begin{tabular}{lllllllll}
\hline

Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data \tabularnewline

Skewness Measure (small sample)

Value

Probability

Kurtosis Measure (small sample)

Value

Probability \tabularnewline Trim. Skewness (0/120)

-0.191300

0.384400 & Trim. Kurtosis (0/120)

-0.477800

0.271400 \tabularnewline Trim. Skewness (1/120)

-0.144600

0.515600 & Trim. Kurtosis (1/120)

-0.615200

0.161600 \tabularnewline Trim. Skewness (2/120)

-0.129000

0.562000 & Trim. Kurtosis (2/120)

-0.673800

0.128600 \tabularnewline Trim. Skewness (3/120)

-0.110200

0.624200 & Trim. Kurtosis (3/120)

-0.711100

0.111800 \tabularnewline Trim. Skewness (4/120)

-0.101500

0.652800 & Trim. Kurtosis (4/120)

-0.730000

0.105200 \tabularnewline Trim. Skewness (5/120)

-0.098500

0.667200 & Trim. Kurtosis (5/120)

-0.747100

0.101000 \tabularnewline Trim. Skewness (6/120)

-0.099500

0.667200 & Trim. Kurtosis (6/120)

-0.751100

0.103200 \tabularnewline Trim. Skewness (7/120)

-0.101300

0.660000 & Trim. Kurtosis (7/120)

-0.769800

0.097000 \tabularnewline Trim. Skewness (8/120)

-0.097600

0.674400 & Trim. Kurtosis (8/120)

-0.803900

0.085400 \tabularnewline Trim. Skewness (9/120)

-0.082500

0.726400 & Trim. Kurtosis (9/120)

-0.819900

0.081800 \tabularnewline Trim. Skewness (10/120)

-0.063200

0.787200 & Trim. Kurtosis (10/120)

-0.848800

0.075000 \tabularnewline Trim. Skewness (11/120)

-0.049300

0.833600 & Trim. Kurtosis (11/120)

-0.863200

0.073400 \tabularnewline Trim. Skewness (12/120)

-0.035800

0.880800 & Trim. Kurtosis (12/120)

-0.890900

0.067200 \tabularnewline Trim. Skewness (13/120)

-0.033000

0.888600 & Trim. Kurtosis (13/120)

-0.911600

0.062800 \tabularnewline Trim. Skewness (14/120)

-0.030000

0.904400 & Trim. Kurtosis (14/120)

-0.951400

0.054800 \tabularnewline Trim. Skewness (15/120)

-0.028600

0.904400 & Trim. Kurtosis (15/120)

-1.020200

0.042400 \tabularnewline Trim. Skewness (16/120)

-0.031000

0.896600 & Trim. Kurtosis (16/120)

-1.097200

0.030800 \tabularnewline Trim. Skewness (17/120)

-0.025100

0.920400 & Trim. Kurtosis (17/120)

-1.129700

0.027800 \tabularnewline Trim. Skewness (18/120)

-0.015000

0.952200 & Trim. Kurtosis (18/120)

-1.180600

0.022600 \tabularnewline Trim. Skewness (19/120)

-0.003100

0.984000 & Trim. Kurtosis (19/120)

-1.229100

0.019200 \tabularnewline Trim. Skewness (20/120)

0.008200

0.968000 & Trim. Kurtosis (20/120)

-1.272000

0.016400 \tabularnewline Trim. Skewness (21/120)

0.018800

0.944200 & Trim. Kurtosis (21/120)

-1.309300

0.014600 \tabularnewline Trim. Skewness (22/120)

0.039200

0.880800 & Trim. Kurtosis (22/120)

-1.361600

0.012400 \tabularnewline Trim. Skewness (23/120)

0.056000

0.833600 & Trim. Kurtosis (23/120)

-1.381500

0.012000 \tabularnewline Trim. Skewness (24/120)

0.076800

0.779400 & Trim. Kurtosis (24/120)

-1.411700

0.011400 \tabularnewline Trim. Skewness (25/120)

0.090500

0.749000 & Trim. Kurtosis (25/120)

-1.428100

0.011400 \tabularnewline Trim. Skewness (26/120)

0.106200

0.711400 & Trim. Kurtosis (26/120)

-1.456000

0.011000 \tabularnewline Trim. Skewness (27/120)

0.106700

0.711400 & Trim. Kurtosis (27/120)

-1.469500

0.011400 \tabularnewline Trim. Skewness (28/120)

0.103600

0.726400 & Trim. Kurtosis (28/120)

-1.477800

0.012000 \tabularnewline Trim. Skewness (29/120)

0.104600

0.726400 & Trim. Kurtosis (29/120)

-1.474100

0.013800 \tabularnewline Trim. Skewness (30/120)

0.108300

0.718800 & Trim. Kurtosis (30/120)

-1.470300

0.015600 \tabularnewline Trim. Skewness (31/120)

0.113100

0.711400 & Trim. Kurtosis (31/120)

-1.470200

0.017400 \tabularnewline Trim. Skewness (32/120)

0.114000

0.718800 & Trim. Kurtosis (32/120)

-1.468200

0.019200 \tabularnewline Trim. Skewness (33/120)

0.121400

0.704000 & Trim. Kurtosis (33/120)

-1.452400

0.022600 \tabularnewline Trim. Skewness (34/120)

0.128800

0.696600 & Trim. Kurtosis (34/120)

-1.435000

0.027200 \tabularnewline Trim. Skewness (35/120)

0.137700

0.681800 & Trim. Kurtosis (35/120)

-1.420600

0.031600 \tabularnewline Trim. Skewness (36/120)

0.145700

0.667200 & Trim. Kurtosis (36/120)

-1.398500

0.037600 \tabularnewline Trim. Skewness (37/120)

0.157100

0.652800 & Trim. Kurtosis (37/120)

-1.374600

0.045600 \tabularnewline Trim. Skewness (38/120)

0.167100

0.638400 & Trim. Kurtosis (38/120)

-1.344500

0.054800 \tabularnewline Trim. Skewness (39/120)

0.179700

0.617000 & Trim. Kurtosis (39/120)

-1.313800

0.065800 \tabularnewline Trim. Skewness (40/120)

0.192200

0.603000 & Trim. Kurtosis (40/120)

-1.269900

0.081800 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103553&T=1

[TABLE]

[ROW][C]Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data[/C][/ROW]

[ROW][C]Skewness Measure (small sample)[/C]

Value[/C]

Probability[/C]

Kurtosis Measure (small sample)[/C]

Value[/C]

Probability[/C][/ROW] [ROW][C]Trim. Skewness (0/120)[/C]

-0.191300[/C]

0.384400[/C][C]Trim. Kurtosis (0/120)[/C]

-0.477800[/C]

0.271400[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]

-0.144600[/C]

0.515600[/C][C]Trim. Kurtosis (1/120)[/C]

-0.615200[/C]

0.161600[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]

-0.129000[/C]

0.562000[/C][C]Trim. Kurtosis (2/120)[/C]

-0.673800[/C]

0.128600[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]

-0.110200[/C]

0.624200[/C][C]Trim. Kurtosis (3/120)[/C]

-0.711100[/C]

0.111800[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]

-0.101500[/C]

0.652800[/C][C]Trim. Kurtosis (4/120)[/C]

-0.730000[/C]

0.105200[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]

-0.098500[/C]

0.667200[/C][C]Trim. Kurtosis (5/120)[/C]

-0.747100[/C]

0.101000[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]

-0.099500[/C]

0.667200[/C][C]Trim. Kurtosis (6/120)[/C]

-0.751100[/C]

0.103200[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]

-0.101300[/C]

0.660000[/C][C]Trim. Kurtosis (7/120)[/C]

-0.769800[/C]

0.097000[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]

-0.097600[/C]

0.674400[/C][C]Trim. Kurtosis (8/120)[/C]

-0.803900[/C]

0.085400[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]

-0.082500[/C]

0.726400[/C][C]Trim. Kurtosis (9/120)[/C]

-0.819900[/C]

0.081800[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]

-0.063200[/C]

0.787200[/C][C]Trim. Kurtosis (10/120)[/C]

-0.848800[/C]

0.075000[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]

-0.049300[/C]

0.833600[/C][C]Trim. Kurtosis (11/120)[/C]

-0.863200[/C]

0.073400[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]

-0.035800[/C]

0.880800[/C][C]Trim. Kurtosis (12/120)[/C]

-0.890900[/C]

0.067200[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]

-0.033000[/C]

0.888600[/C][C]Trim. Kurtosis (13/120)[/C]

-0.911600[/C]

0.062800[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]

-0.030000[/C]

0.904400[/C][C]Trim. Kurtosis (14/120)[/C]

-0.951400[/C]

0.054800[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]

-0.028600[/C]

0.904400[/C][C]Trim. Kurtosis (15/120)[/C]

-1.020200[/C]

0.042400[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]

-0.031000[/C]

0.896600[/C][C]Trim. Kurtosis (16/120)[/C]

-1.097200[/C]

0.030800[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]

-0.025100[/C]

0.920400[/C][C]Trim. Kurtosis (17/120)[/C]

-1.129700[/C]

0.027800[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]

-0.015000[/C]

0.952200[/C][C]Trim. Kurtosis (18/120)[/C]

-1.180600[/C]

0.022600[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]

-0.003100[/C]

0.984000[/C][C]Trim. Kurtosis (19/120)[/C]

-1.229100[/C]

0.019200[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]

0.008200[/C]

0.968000[/C][C]Trim. Kurtosis (20/120)[/C]

-1.272000[/C]

0.016400[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]

0.018800[/C]

0.944200[/C][C]Trim. Kurtosis (21/120)[/C]

-1.309300[/C]

0.014600[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]

0.039200[/C]

0.880800[/C][C]Trim. Kurtosis (22/120)[/C]

-1.361600[/C]

0.012400[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]

0.056000[/C]

0.833600[/C][C]Trim. Kurtosis (23/120)[/C]

-1.381500[/C]

0.012000[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]

0.076800[/C]

0.779400[/C][C]Trim. Kurtosis (24/120)[/C]

-1.411700[/C]

0.011400[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]

0.090500[/C]

0.749000[/C][C]Trim. Kurtosis (25/120)[/C]

-1.428100[/C]

0.011400[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]

0.106200[/C]

0.711400[/C][C]Trim. Kurtosis (26/120)[/C]

-1.456000[/C]

0.011000[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]

0.106700[/C]

0.711400[/C][C]Trim. Kurtosis (27/120)[/C]

-1.469500[/C]

0.011400[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]

0.103600[/C]

0.726400[/C][C]Trim. Kurtosis (28/120)[/C]

-1.477800[/C]

0.012000[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]

0.104600[/C]

0.726400[/C][C]Trim. Kurtosis (29/120)[/C]

-1.474100[/C]

0.013800[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]

0.108300[/C]

0.718800[/C][C]Trim. Kurtosis (30/120)[/C]

-1.470300[/C]

0.015600[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]

0.113100[/C]

0.711400[/C][C]Trim. Kurtosis (31/120)[/C]

-1.470200[/C]

0.017400[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]

0.114000[/C]

0.718800[/C][C]Trim. Kurtosis (32/120)[/C]

-1.468200[/C]

0.019200[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]

0.121400[/C]

0.704000[/C][C]Trim. Kurtosis (33/120)[/C]

-1.452400[/C]

0.022600[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]

0.128800[/C]

0.696600[/C][C]Trim. Kurtosis (34/120)[/C]

-1.435000[/C]

0.027200[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]

0.137700[/C]

0.681800[/C][C]Trim. Kurtosis (35/120)[/C]

-1.420600[/C]

0.031600[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]

0.145700[/C]

0.667200[/C][C]Trim. Kurtosis (36/120)[/C]

-1.398500[/C]

0.037600[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]

0.157100[/C]

0.652800[/C][C]Trim. Kurtosis (37/120)[/C]

-1.374600[/C]

0.045600[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]

0.167100[/C]

0.638400[/C][C]Trim. Kurtosis (38/120)[/C]

-1.344500[/C]

0.054800[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]

0.179700[/C]

0.617000[/C][C]Trim. Kurtosis (39/120)[/C]

-1.313800[/C]

0.065800[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]

0.192200[/C]

0.603000[/C][C]Trim. Kurtosis (40/120)[/C]

-1.269900[/C]

0.081800[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103553&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103553&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)	Value	Probability	Kurtosis Measure (small sample)	Value	Probability
Trim. Skewness (0/120)	-0.191300	0.384400	Trim. Kurtosis (0/120)	-0.477800	0.271400
Trim. Skewness (1/120)	-0.144600	0.515600	Trim. Kurtosis (1/120)	-0.615200	0.161600
Trim. Skewness (2/120)	-0.129000	0.562000	Trim. Kurtosis (2/120)	-0.673800	0.128600
Trim. Skewness (3/120)	-0.110200	0.624200	Trim. Kurtosis (3/120)	-0.711100	0.111800
Trim. Skewness (4/120)	-0.101500	0.652800	Trim. Kurtosis (4/120)	-0.730000	0.105200
Trim. Skewness (5/120)	-0.098500	0.667200	Trim. Kurtosis (5/120)	-0.747100	0.101000
Trim. Skewness (6/120)	-0.099500	0.667200	Trim. Kurtosis (6/120)	-0.751100	0.103200
Trim. Skewness (7/120)	-0.101300	0.660000	Trim. Kurtosis (7/120)	-0.769800	0.097000
Trim. Skewness (8/120)	-0.097600	0.674400	Trim. Kurtosis (8/120)	-0.803900	0.085400
Trim. Skewness (9/120)	-0.082500	0.726400	Trim. Kurtosis (9/120)	-0.819900	0.081800
Trim. Skewness (10/120)	-0.063200	0.787200	Trim. Kurtosis (10/120)	-0.848800	0.075000
Trim. Skewness (11/120)	-0.049300	0.833600	Trim. Kurtosis (11/120)	-0.863200	0.073400
Trim. Skewness (12/120)	-0.035800	0.880800	Trim. Kurtosis (12/120)	-0.890900	0.067200
Trim. Skewness (13/120)	-0.033000	0.888600	Trim. Kurtosis (13/120)	-0.911600	0.062800
Trim. Skewness (14/120)	-0.030000	0.904400	Trim. Kurtosis (14/120)	-0.951400	0.054800
Trim. Skewness (15/120)	-0.028600	0.904400	Trim. Kurtosis (15/120)	-1.020200	0.042400
Trim. Skewness (16/120)	-0.031000	0.896600	Trim. Kurtosis (16/120)	-1.097200	0.030800
Trim. Skewness (17/120)	-0.025100	0.920400	Trim. Kurtosis (17/120)	-1.129700	0.027800
Trim. Skewness (18/120)	-0.015000	0.952200	Trim. Kurtosis (18/120)	-1.180600	0.022600
Trim. Skewness (19/120)	-0.003100	0.984000	Trim. Kurtosis (19/120)	-1.229100	0.019200
Trim. Skewness (20/120)	0.008200	0.968000	Trim. Kurtosis (20/120)	-1.272000	0.016400
Trim. Skewness (21/120)	0.018800	0.944200	Trim. Kurtosis (21/120)	-1.309300	0.014600
Trim. Skewness (22/120)	0.039200	0.880800	Trim. Kurtosis (22/120)	-1.361600	0.012400
Trim. Skewness (23/120)	0.056000	0.833600	Trim. Kurtosis (23/120)	-1.381500	0.012000
Trim. Skewness (24/120)	0.076800	0.779400	Trim. Kurtosis (24/120)	-1.411700	0.011400
Trim. Skewness (25/120)	0.090500	0.749000	Trim. Kurtosis (25/120)	-1.428100	0.011400
Trim. Skewness (26/120)	0.106200	0.711400	Trim. Kurtosis (26/120)	-1.456000	0.011000
Trim. Skewness (27/120)	0.106700	0.711400	Trim. Kurtosis (27/120)	-1.469500	0.011400
Trim. Skewness (28/120)	0.103600	0.726400	Trim. Kurtosis (28/120)	-1.477800	0.012000
Trim. Skewness (29/120)	0.104600	0.726400	Trim. Kurtosis (29/120)	-1.474100	0.013800
Trim. Skewness (30/120)	0.108300	0.718800	Trim. Kurtosis (30/120)	-1.470300	0.015600
Trim. Skewness (31/120)	0.113100	0.711400	Trim. Kurtosis (31/120)	-1.470200	0.017400
Trim. Skewness (32/120)	0.114000	0.718800	Trim. Kurtosis (32/120)	-1.468200	0.019200
Trim. Skewness (33/120)	0.121400	0.704000	Trim. Kurtosis (33/120)	-1.452400	0.022600
Trim. Skewness (34/120)	0.128800	0.696600	Trim. Kurtosis (34/120)	-1.435000	0.027200
Trim. Skewness (35/120)	0.137700	0.681800	Trim. Kurtosis (35/120)	-1.420600	0.031600
Trim. Skewness (36/120)	0.145700	0.667200	Trim. Kurtosis (36/120)	-1.398500	0.037600
Trim. Skewness (37/120)	0.157100	0.652800	Trim. Kurtosis (37/120)	-1.374600	0.045600
Trim. Skewness (38/120)	0.167100	0.638400	Trim. Kurtosis (38/120)	-1.344500	0.054800
Trim. Skewness (39/120)	0.179700	0.617000	Trim. Kurtosis (39/120)	-1.313800	0.065800
Trim. Skewness (40/120)	0.192200	0.603000	Trim. Kurtosis (40/120)	-1.269900	0.081800

Parameters (Session):

Parameters (R input):

R code (references can be found in the software module):

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code