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Author

*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 14:46:36 +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/t1291128275hgzfnjfahvpz8dk.htm/, Retrieved Mon, 29 Apr 2024 13:06:37 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103552, Retrieved Mon, 29 Apr 2024 13:06:37 +0000

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108

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-       [Skewness and Kurtosis] [] [2010-11-30 14:46:36] [fff0a1ca5ad3b1801f382406d5a383a7] [Current]

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49.02050062
52.89851645
49.3095631
49.82369558
52.24432573
51.60875315
56.25653895
50.69290283
49.63667831
52.11799961
49.74116594
55.08388254
51.16691451
50.17828984
52.30386855
48.60019379
48.31386111
52.36908261
54.13427249
46.76853523
46.04829477
56.38058987
51.42175318
47.41050107
44.66806271
51.84603337
51.29745862
51.37875371
54.59719947
46.31344009
49.74087046
49.79923021
54.01920146
53.26443266
52.80940168
49.43965132
50.55776425
48.70283511
49.87345831
51.00388876
47.3096431
48.21923617
50.69006656
50.83533476
50.26270118
48.18493082
50.1745758
50.96893719
51.92861343
43.49277254
53.18153356
51.59043214
54.1329138
51.8166709
54.68374431
50.44692304
53.26303247
48.02640309
53.81590801
47.42269076
45.65939195
47.85767373
55.1961944
50.8547373
49.58638521
46.96238095
49.78355056
50.13835747
50.96281024
53.04211684
49.76462751
44.21614184
47.37763293
53.23828516
51.5023108
48.907059
52.86808996
44.23827524
52.40141832
49.95018867
51.5525373
48.9885624
45.38100918
48.73781047
43.15011304
44.44953201
48.07501638
49.87944199
52.45753829
48.91782852
55.31433315
42.25118221
50.26101411
53.80540641
47.24263562
46.93802041
48.33418439
48.19543023
49.57779554
49.59877292
51.73997374
47.79409237
48.63140134
50.23715749
52.9400518
55.6788736
49.62830386
48.00557351
52.92803707
45.85199747
53.10031405
50.36781482
48.88196029
48.75100662
48.85119463
50.97239148
47.28260095
51.97879259
42.14023235
50.90015623

Skewness and Kurtosis - Ungrouped Data
Skewness Measure	Value	Kurtosis Measure	Value
FISHER 3rd Cent. Mom.	-8.580576	FISHER 4th Cent. Mom.	231.426164
FISHER beta 1	0.112807	FISHER beta 2	3.075726
FISHER gamma 1	-0.335867	FISHER gamma 2	0.075726
FISHER gamma 1 (S.E.)	0.223607	FISHER gamma 2 (S.E.)	0.447214
FISHER Test 1	-1.502045	FISHER Test 2	0.169328
FISHER Test 1 Probability	0.131000	FISHER Test 2 Probability	0.865000
Pearson 2	-0.094748
Yule using Quartile definition:Weighted Average at Xnp	-0.030563
Yule using Quartile definition:Weighted Average at X(n+1)p	0.003426
Yule using Quartile definition:Empirical Distribution Function	-0.030563
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.000532
Yule using Quartile definition:Empirical Distribution Function - Interpolation	-0.002453
Yule using Quartile definition:Closest Observation	-0.030563
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	-0.002453
Yule using Quartile definition:MS Excel (old versions)	0.006233
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.340134	Kurtosis (small sample)	0.130695
Skewness S.E. (small sample)	0.220879	Kurtosis S.E. (small sample)	0.438331
TEST 1 (small sample)	-1.539914	TEST 1 (small sample)	0.298165
TEST 1 Prob. (small sample)	0.123600	TEST 1 Prob. (small sample)	0.764200
Observations	120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure

Value

Kurtosis Measure

Value \tabularnewline FISHER 3rd Cent. Mom.

-8.580576 & FISHER 4th Cent. Mom.

231.426164 \tabularnewline FISHER beta 1

0.112807 & FISHER beta 2

3.075726 \tabularnewline FISHER gamma 1

-0.335867 & FISHER gamma 2

0.075726 \tabularnewline FISHER gamma 1 (S.E.)

0.223607 & FISHER gamma 2 (S.E.)

0.447214 \tabularnewline FISHER Test 1

-1.502045 & FISHER Test 2

0.169328 \tabularnewline FISHER Test 1 Probability

0.131000 & FISHER Test 2 Probability

0.865000 \tabularnewline Pearson 2

-0.094748 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp

-0.030563 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p

0.003426 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function

-0.030563 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging

0.000532 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation

-0.002453 & & \tabularnewline Yule using Quartile definition:Closest Observation

-0.030563 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit

-0.002453 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)

0.006233 & & \tabularnewline Skewness Measure (small sample)

Value

Kurtosis Measure (small sample)

Value \tabularnewline Skewness (small sample)

-0.340134 & Kurtosis (small sample)

0.130695 \tabularnewline Skewness S.E. (small sample)

0.220879 & Kurtosis S.E. (small sample)

0.438331 \tabularnewline TEST 1 (small sample)

-1.539914 & TEST 1 (small sample)

0.298165 \tabularnewline TEST 1 Prob. (small sample)

0.123600 & TEST 1 Prob. (small sample)

0.764200 \tabularnewline Observations

120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103552&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]

-8.580576[/C][C]FISHER 4th Cent. Mom.[/C]

231.426164[/C][/ROW] [ROW][C]FISHER beta 1[/C]

0.112807[/C][C]FISHER beta 2[/C]

3.075726[/C][/ROW] [ROW][C]FISHER gamma 1[/C]

-0.335867[/C][C]FISHER gamma 2[/C]

0.075726[/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]

-1.502045[/C][C]FISHER Test 2[/C]

0.169328[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]

0.131000[/C][C]FISHER Test 2 Probability[/C]

0.865000[/C][/ROW] [ROW][C]Pearson 2[/C]

-0.094748[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]

-0.030563[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]

0.003426[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]

-0.030563[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]

0.000532[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]

-0.002453[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]

-0.030563[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]

-0.002453[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]

0.006233[/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]

-0.340134[/C][C]Kurtosis (small sample)[/C]

0.130695[/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]

-1.539914[/C][C]TEST 1 (small sample)[/C]

0.298165[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]

0.123600[/C][C]TEST 1 Prob. (small sample)[/C]

0.764200[/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=103552&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103552&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.	-8.580576	FISHER 4th Cent. Mom.	231.426164
FISHER beta 1	0.112807	FISHER beta 2	3.075726
FISHER gamma 1	-0.335867	FISHER gamma 2	0.075726
FISHER gamma 1 (S.E.)	0.223607	FISHER gamma 2 (S.E.)	0.447214
FISHER Test 1	-1.502045	FISHER Test 2	0.169328
FISHER Test 1 Probability	0.131000	FISHER Test 2 Probability	0.865000
Pearson 2	-0.094748
Yule using Quartile definition:Weighted Average at Xnp	-0.030563
Yule using Quartile definition:Weighted Average at X(n+1)p	0.003426
Yule using Quartile definition:Empirical Distribution Function	-0.030563
Yule using Quartile definition:Empirical Distribution Function - Averaging	0.000532
Yule using Quartile definition:Empirical Distribution Function - Interpolation	-0.002453
Yule using Quartile definition:Closest Observation	-0.030563
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit	-0.002453
Yule using Quartile definition:MS Excel (old versions)	0.006233
Skewness Measure (small sample)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.340134	Kurtosis (small sample)	0.130695
Skewness S.E. (small sample)	0.220879	Kurtosis S.E. (small sample)	0.438331
TEST 1 (small sample)	-1.539914	TEST 1 (small sample)	0.298165
TEST 1 Prob. (small sample)	0.123600	TEST 1 Prob. (small sample)	0.764200
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)	-0.340100	0.123600	Trim. Kurtosis (0/120)	0.130700	0.764200
Trim. Skewness (1/120)	-0.315000	0.155600	Trim. Kurtosis (1/120)	0.039000	0.928200
Trim. Skewness (2/120)	-0.276400	0.215000	Trim. Kurtosis (2/120)	-0.133700	0.756600
Trim. Skewness (3/120)	-0.249500	0.267000	Trim. Kurtosis (3/120)	-0.222400	0.617000
Trim. Skewness (4/120)	-0.214400	0.347200	Trim. Kurtosis (4/120)	-0.313200	0.484000
Trim. Skewness (5/120)	-0.203400	0.373400	Trim. Kurtosis (5/120)	-0.356900	0.429600
Trim. Skewness (6/120)	-0.181800	0.429600	Trim. Kurtosis (6/120)	-0.447200	0.332000
Trim. Skewness (7/120)	-0.143800	0.535200	Trim. Kurtosis (7/120)	-0.547600	0.238000
Trim. Skewness (8/120)	-0.102300	0.660000	Trim. Kurtosis (8/120)	-0.681100	0.144200
Trim. Skewness (9/120)	-0.074100	0.749000	Trim. Kurtosis (9/120)	-0.731000	0.121200
Trim. Skewness (10/120)	-0.054700	0.818000	Trim. Kurtosis (10/120)	-0.783100	0.101000
Trim. Skewness (11/120)	-0.035300	0.880800	Trim. Kurtosis (11/120)	-0.842000	0.080200
Trim. Skewness (12/120)	-0.011900	0.960200	Trim. Kurtosis (12/120)	-0.899100	0.064400
Trim. Skewness (13/120)	0.000800	0.992000	Trim. Kurtosis (13/120)	-0.959800	0.051200
Trim. Skewness (14/120)	0.016100	0.944200	Trim. Kurtosis (14/120)	-0.958100	0.053600
Trim. Skewness (15/120)	0.025700	0.912400	Trim. Kurtosis (15/120)	-0.953300	0.057400
Trim. Skewness (16/120)	0.037700	0.880800	Trim. Kurtosis (16/120)	-0.957900	0.058800
Trim. Skewness (17/120)	0.038800	0.880800	Trim. Kurtosis (17/120)	-0.948200	0.064400
Trim. Skewness (18/120)	0.042300	0.865000	Trim. Kurtosis (18/120)	-0.940200	0.070200
Trim. Skewness (19/120)	0.048300	0.849200	Trim. Kurtosis (19/120)	-0.938300	0.073400
Trim. Skewness (20/120)	0.057600	0.825800	Trim. Kurtosis (20/120)	-0.936400	0.076800
Trim. Skewness (21/120)	0.067600	0.802600	Trim. Kurtosis (21/120)	-0.949500	0.076800
Trim. Skewness (22/120)	0.081900	0.764200	Trim. Kurtosis (22/120)	-0.987800	0.068800
Trim. Skewness (23/120)	0.068400	0.802600	Trim. Kurtosis (23/120)	-1.007800	0.067200
Trim. Skewness (24/120)	0.050000	0.857200	Trim. Kurtosis (24/120)	-1.042100	0.061400
Trim. Skewness (25/120)	0.047500	0.865000	Trim. Kurtosis (25/120)	-1.030000	0.068800
Trim. Skewness (26/120)	0.047000	0.865000	Trim. Kurtosis (26/120)	-1.022600	0.073400
Trim. Skewness (27/120)	0.044300	0.872800	Trim. Kurtosis (27/120)	-1.023200	0.078400
Trim. Skewness (28/120)	0.035700	0.904400	Trim. Kurtosis (28/120)	-1.021200	0.083600
Trim. Skewness (29/120)	0.029600	0.920400	Trim. Kurtosis (29/120)	-1.032100	0.083600
Trim. Skewness (30/120)	0.034500	0.904400	Trim. Kurtosis (30/120)	-1.045900	0.085400
Trim. Skewness (31/120)	0.045900	0.880800	Trim. Kurtosis (31/120)	-1.046400	0.089200
Trim. Skewness (32/120)	0.065500	0.833600	Trim. Kurtosis (32/120)	-1.065700	0.089200
Trim. Skewness (33/120)	0.061800	0.841400	Trim. Kurtosis (33/120)	-1.043800	0.101000
Trim. Skewness (34/120)	0.055400	0.865000	Trim. Kurtosis (34/120)	-1.030100	0.111800
Trim. Skewness (35/120)	0.047000	0.888600	Trim. Kurtosis (35/120)	-1.008400	0.126000
Trim. Skewness (36/120)	0.052500	0.872800	Trim. Kurtosis (36/120)	-0.967900	0.149800
Trim. Skewness (37/120)	0.060400	0.857200	Trim. Kurtosis (37/120)	-0.940600	0.170600
Trim. Skewness (38/120)	0.055600	0.872800	Trim. Kurtosis (38/120)	-0.905200	0.193600
Trim. Skewness (39/120)	0.052200	0.880800	Trim. Kurtosis (39/120)	-0.879000	0.218600
Trim. Skewness (40/120)	0.063400	0.865000	Trim. Kurtosis (40/120)	-0.862000	0.238000

\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)

-0.340100

0.123600 & Trim. Kurtosis (0/120)

0.130700

0.764200 \tabularnewline Trim. Skewness (1/120)

-0.315000

0.155600 & Trim. Kurtosis (1/120)

0.039000

0.928200 \tabularnewline Trim. Skewness (2/120)

-0.276400

0.215000 & Trim. Kurtosis (2/120)

-0.133700

0.756600 \tabularnewline Trim. Skewness (3/120)

-0.249500

0.267000 & Trim. Kurtosis (3/120)

-0.222400

0.617000 \tabularnewline Trim. Skewness (4/120)

-0.214400

0.347200 & Trim. Kurtosis (4/120)

-0.313200

0.484000 \tabularnewline Trim. Skewness (5/120)

-0.203400

0.373400 & Trim. Kurtosis (5/120)

-0.356900

0.429600 \tabularnewline Trim. Skewness (6/120)

-0.181800

0.429600 & Trim. Kurtosis (6/120)

-0.447200

0.332000 \tabularnewline Trim. Skewness (7/120)

-0.143800

0.535200 & Trim. Kurtosis (7/120)

-0.547600

0.238000 \tabularnewline Trim. Skewness (8/120)

-0.102300

0.660000 & Trim. Kurtosis (8/120)

-0.681100

0.144200 \tabularnewline Trim. Skewness (9/120)

-0.074100

0.749000 & Trim. Kurtosis (9/120)

-0.731000

0.121200 \tabularnewline Trim. Skewness (10/120)

-0.054700

0.818000 & Trim. Kurtosis (10/120)

-0.783100

0.101000 \tabularnewline Trim. Skewness (11/120)

-0.035300

0.880800 & Trim. Kurtosis (11/120)

-0.842000

0.080200 \tabularnewline Trim. Skewness (12/120)

-0.011900

0.960200 & Trim. Kurtosis (12/120)

-0.899100

0.064400 \tabularnewline Trim. Skewness (13/120)

0.000800

0.992000 & Trim. Kurtosis (13/120)

-0.959800

0.051200 \tabularnewline Trim. Skewness (14/120)

0.016100

0.944200 & Trim. Kurtosis (14/120)

-0.958100

0.053600 \tabularnewline Trim. Skewness (15/120)

0.025700

0.912400 & Trim. Kurtosis (15/120)

-0.953300

0.057400 \tabularnewline Trim. Skewness (16/120)

0.037700

0.880800 & Trim. Kurtosis (16/120)

-0.957900

0.058800 \tabularnewline Trim. Skewness (17/120)

0.038800

0.880800 & Trim. Kurtosis (17/120)

-0.948200

0.064400 \tabularnewline Trim. Skewness (18/120)

0.042300

0.865000 & Trim. Kurtosis (18/120)

-0.940200

0.070200 \tabularnewline Trim. Skewness (19/120)

0.048300

0.849200 & Trim. Kurtosis (19/120)

-0.938300

0.073400 \tabularnewline Trim. Skewness (20/120)

0.057600

0.825800 & Trim. Kurtosis (20/120)

-0.936400

0.076800 \tabularnewline Trim. Skewness (21/120)

0.067600

0.802600 & Trim. Kurtosis (21/120)

-0.949500

0.076800 \tabularnewline Trim. Skewness (22/120)

0.081900

0.764200 & Trim. Kurtosis (22/120)

-0.987800

0.068800 \tabularnewline Trim. Skewness (23/120)

0.068400

0.802600 & Trim. Kurtosis (23/120)

-1.007800

0.067200 \tabularnewline Trim. Skewness (24/120)

0.050000

0.857200 & Trim. Kurtosis (24/120)

-1.042100

0.061400 \tabularnewline Trim. Skewness (25/120)

0.047500

0.865000 & Trim. Kurtosis (25/120)

-1.030000

0.068800 \tabularnewline Trim. Skewness (26/120)

0.047000

0.865000 & Trim. Kurtosis (26/120)

-1.022600

0.073400 \tabularnewline Trim. Skewness (27/120)

0.044300

0.872800 & Trim. Kurtosis (27/120)

-1.023200

0.078400 \tabularnewline Trim. Skewness (28/120)

0.035700

0.904400 & Trim. Kurtosis (28/120)

-1.021200

0.083600 \tabularnewline Trim. Skewness (29/120)

0.029600

0.920400 & Trim. Kurtosis (29/120)

-1.032100

0.083600 \tabularnewline Trim. Skewness (30/120)

0.034500

0.904400 & Trim. Kurtosis (30/120)

-1.045900

0.085400 \tabularnewline Trim. Skewness (31/120)

0.045900

0.880800 & Trim. Kurtosis (31/120)

-1.046400

0.089200 \tabularnewline Trim. Skewness (32/120)

0.065500

0.833600 & Trim. Kurtosis (32/120)

-1.065700

0.089200 \tabularnewline Trim. Skewness (33/120)

0.061800

0.841400 & Trim. Kurtosis (33/120)

-1.043800

0.101000 \tabularnewline Trim. Skewness (34/120)

0.055400

0.865000 & Trim. Kurtosis (34/120)

-1.030100

0.111800 \tabularnewline Trim. Skewness (35/120)

0.047000

0.888600 & Trim. Kurtosis (35/120)

-1.008400

0.126000 \tabularnewline Trim. Skewness (36/120)

0.052500

0.872800 & Trim. Kurtosis (36/120)

-0.967900

0.149800 \tabularnewline Trim. Skewness (37/120)

0.060400

0.857200 & Trim. Kurtosis (37/120)

-0.940600

0.170600 \tabularnewline Trim. Skewness (38/120)

0.055600

0.872800 & Trim. Kurtosis (38/120)

-0.905200

0.193600 \tabularnewline Trim. Skewness (39/120)

0.052200

0.880800 & Trim. Kurtosis (39/120)

-0.879000

0.218600 \tabularnewline Trim. Skewness (40/120)

0.063400

0.865000 & Trim. Kurtosis (40/120)

-0.862000

0.238000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103552&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]

-0.340100[/C]

0.123600[/C][C]Trim. Kurtosis (0/120)[/C]

0.130700[/C]

0.764200[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]

-0.315000[/C]

0.155600[/C][C]Trim. Kurtosis (1/120)[/C]

0.039000[/C]

0.928200[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]

-0.276400[/C]

0.215000[/C][C]Trim. Kurtosis (2/120)[/C]

-0.133700[/C]

0.756600[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]

-0.249500[/C]

0.267000[/C][C]Trim. Kurtosis (3/120)[/C]

-0.222400[/C]

0.617000[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]

-0.214400[/C]

0.347200[/C][C]Trim. Kurtosis (4/120)[/C]

-0.313200[/C]

0.484000[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]

-0.203400[/C]

0.373400[/C][C]Trim. Kurtosis (5/120)[/C]

-0.356900[/C]

0.429600[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]

-0.181800[/C]

0.429600[/C][C]Trim. Kurtosis (6/120)[/C]

-0.447200[/C]

0.332000[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]

-0.143800[/C]

0.535200[/C][C]Trim. Kurtosis (7/120)[/C]

-0.547600[/C]

0.238000[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]

-0.102300[/C]

0.660000[/C][C]Trim. Kurtosis (8/120)[/C]

-0.681100[/C]

0.144200[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]

-0.074100[/C]

0.749000[/C][C]Trim. Kurtosis (9/120)[/C]

-0.731000[/C]

0.121200[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]

-0.054700[/C]

0.818000[/C][C]Trim. Kurtosis (10/120)[/C]

-0.783100[/C]

0.101000[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]

-0.035300[/C]

0.880800[/C][C]Trim. Kurtosis (11/120)[/C]

-0.842000[/C]

0.080200[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]

-0.011900[/C]

0.960200[/C][C]Trim. Kurtosis (12/120)[/C]

-0.899100[/C]

0.064400[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]

0.000800[/C]

0.992000[/C][C]Trim. Kurtosis (13/120)[/C]

-0.959800[/C]

0.051200[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]

0.016100[/C]

0.944200[/C][C]Trim. Kurtosis (14/120)[/C]

-0.958100[/C]

0.053600[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]

0.025700[/C]

0.912400[/C][C]Trim. Kurtosis (15/120)[/C]

-0.953300[/C]

0.057400[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]

0.037700[/C]

0.880800[/C][C]Trim. Kurtosis (16/120)[/C]

-0.957900[/C]

0.058800[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]

0.038800[/C]

0.880800[/C][C]Trim. Kurtosis (17/120)[/C]

-0.948200[/C]

0.064400[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]

0.042300[/C]

0.865000[/C][C]Trim. Kurtosis (18/120)[/C]

-0.940200[/C]

0.070200[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]

0.048300[/C]

0.849200[/C][C]Trim. Kurtosis (19/120)[/C]

-0.938300[/C]

0.073400[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]

0.057600[/C]

0.825800[/C][C]Trim. Kurtosis (20/120)[/C]

-0.936400[/C]

0.076800[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]

0.067600[/C]

0.802600[/C][C]Trim. Kurtosis (21/120)[/C]

-0.949500[/C]

0.076800[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]

0.081900[/C]

0.764200[/C][C]Trim. Kurtosis (22/120)[/C]

-0.987800[/C]

0.068800[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]

0.068400[/C]

0.802600[/C][C]Trim. Kurtosis (23/120)[/C]

-1.007800[/C]

0.067200[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]

0.050000[/C]

0.857200[/C][C]Trim. Kurtosis (24/120)[/C]

-1.042100[/C]

0.061400[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]

0.047500[/C]

0.865000[/C][C]Trim. Kurtosis (25/120)[/C]

-1.030000[/C]

0.068800[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]

0.047000[/C]

0.865000[/C][C]Trim. Kurtosis (26/120)[/C]

-1.022600[/C]

0.073400[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]

0.044300[/C]

0.872800[/C][C]Trim. Kurtosis (27/120)[/C]

-1.023200[/C]

0.078400[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]

0.035700[/C]

0.904400[/C][C]Trim. Kurtosis (28/120)[/C]

-1.021200[/C]

0.083600[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]

0.029600[/C]

0.920400[/C][C]Trim. Kurtosis (29/120)[/C]

-1.032100[/C]

0.083600[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]

0.034500[/C]

0.904400[/C][C]Trim. Kurtosis (30/120)[/C]

-1.045900[/C]

0.085400[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]

0.045900[/C]

0.880800[/C][C]Trim. Kurtosis (31/120)[/C]

-1.046400[/C]

0.089200[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]

0.065500[/C]

0.833600[/C][C]Trim. Kurtosis (32/120)[/C]

-1.065700[/C]

0.089200[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]

0.061800[/C]

0.841400[/C][C]Trim. Kurtosis (33/120)[/C]

-1.043800[/C]

0.101000[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]

0.055400[/C]

0.865000[/C][C]Trim. Kurtosis (34/120)[/C]

-1.030100[/C]

0.111800[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]

0.047000[/C]

0.888600[/C][C]Trim. Kurtosis (35/120)[/C]

-1.008400[/C]

0.126000[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]

0.052500[/C]

0.872800[/C][C]Trim. Kurtosis (36/120)[/C]

-0.967900[/C]

0.149800[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]

0.060400[/C]

0.857200[/C][C]Trim. Kurtosis (37/120)[/C]

-0.940600[/C]

0.170600[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]

0.055600[/C]

0.872800[/C][C]Trim. Kurtosis (38/120)[/C]

-0.905200[/C]

0.193600[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]

0.052200[/C]

0.880800[/C][C]Trim. Kurtosis (39/120)[/C]

-0.879000[/C]

0.218600[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]

0.063400[/C]

0.865000[/C][C]Trim. Kurtosis (40/120)[/C]

-0.862000[/C]

0.238000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103552&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103552&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)	-0.340100	0.123600	Trim. Kurtosis (0/120)	0.130700	0.764200
Trim. Skewness (1/120)	-0.315000	0.155600	Trim. Kurtosis (1/120)	0.039000	0.928200
Trim. Skewness (2/120)	-0.276400	0.215000	Trim. Kurtosis (2/120)	-0.133700	0.756600
Trim. Skewness (3/120)	-0.249500	0.267000	Trim. Kurtosis (3/120)	-0.222400	0.617000
Trim. Skewness (4/120)	-0.214400	0.347200	Trim. Kurtosis (4/120)	-0.313200	0.484000
Trim. Skewness (5/120)	-0.203400	0.373400	Trim. Kurtosis (5/120)	-0.356900	0.429600
Trim. Skewness (6/120)	-0.181800	0.429600	Trim. Kurtosis (6/120)	-0.447200	0.332000
Trim. Skewness (7/120)	-0.143800	0.535200	Trim. Kurtosis (7/120)	-0.547600	0.238000
Trim. Skewness (8/120)	-0.102300	0.660000	Trim. Kurtosis (8/120)	-0.681100	0.144200
Trim. Skewness (9/120)	-0.074100	0.749000	Trim. Kurtosis (9/120)	-0.731000	0.121200
Trim. Skewness (10/120)	-0.054700	0.818000	Trim. Kurtosis (10/120)	-0.783100	0.101000
Trim. Skewness (11/120)	-0.035300	0.880800	Trim. Kurtosis (11/120)	-0.842000	0.080200
Trim. Skewness (12/120)	-0.011900	0.960200	Trim. Kurtosis (12/120)	-0.899100	0.064400
Trim. Skewness (13/120)	0.000800	0.992000	Trim. Kurtosis (13/120)	-0.959800	0.051200
Trim. Skewness (14/120)	0.016100	0.944200	Trim. Kurtosis (14/120)	-0.958100	0.053600
Trim. Skewness (15/120)	0.025700	0.912400	Trim. Kurtosis (15/120)	-0.953300	0.057400
Trim. Skewness (16/120)	0.037700	0.880800	Trim. Kurtosis (16/120)	-0.957900	0.058800
Trim. Skewness (17/120)	0.038800	0.880800	Trim. Kurtosis (17/120)	-0.948200	0.064400
Trim. Skewness (18/120)	0.042300	0.865000	Trim. Kurtosis (18/120)	-0.940200	0.070200
Trim. Skewness (19/120)	0.048300	0.849200	Trim. Kurtosis (19/120)	-0.938300	0.073400
Trim. Skewness (20/120)	0.057600	0.825800	Trim. Kurtosis (20/120)	-0.936400	0.076800
Trim. Skewness (21/120)	0.067600	0.802600	Trim. Kurtosis (21/120)	-0.949500	0.076800
Trim. Skewness (22/120)	0.081900	0.764200	Trim. Kurtosis (22/120)	-0.987800	0.068800
Trim. Skewness (23/120)	0.068400	0.802600	Trim. Kurtosis (23/120)	-1.007800	0.067200
Trim. Skewness (24/120)	0.050000	0.857200	Trim. Kurtosis (24/120)	-1.042100	0.061400
Trim. Skewness (25/120)	0.047500	0.865000	Trim. Kurtosis (25/120)	-1.030000	0.068800
Trim. Skewness (26/120)	0.047000	0.865000	Trim. Kurtosis (26/120)	-1.022600	0.073400
Trim. Skewness (27/120)	0.044300	0.872800	Trim. Kurtosis (27/120)	-1.023200	0.078400
Trim. Skewness (28/120)	0.035700	0.904400	Trim. Kurtosis (28/120)	-1.021200	0.083600
Trim. Skewness (29/120)	0.029600	0.920400	Trim. Kurtosis (29/120)	-1.032100	0.083600
Trim. Skewness (30/120)	0.034500	0.904400	Trim. Kurtosis (30/120)	-1.045900	0.085400
Trim. Skewness (31/120)	0.045900	0.880800	Trim. Kurtosis (31/120)	-1.046400	0.089200
Trim. Skewness (32/120)	0.065500	0.833600	Trim. Kurtosis (32/120)	-1.065700	0.089200
Trim. Skewness (33/120)	0.061800	0.841400	Trim. Kurtosis (33/120)	-1.043800	0.101000
Trim. Skewness (34/120)	0.055400	0.865000	Trim. Kurtosis (34/120)	-1.030100	0.111800
Trim. Skewness (35/120)	0.047000	0.888600	Trim. Kurtosis (35/120)	-1.008400	0.126000
Trim. Skewness (36/120)	0.052500	0.872800	Trim. Kurtosis (36/120)	-0.967900	0.149800
Trim. Skewness (37/120)	0.060400	0.857200	Trim. Kurtosis (37/120)	-0.940600	0.170600
Trim. Skewness (38/120)	0.055600	0.872800	Trim. Kurtosis (38/120)	-0.905200	0.193600
Trim. Skewness (39/120)	0.052200	0.880800	Trim. Kurtosis (39/120)	-0.879000	0.218600
Trim. Skewness (40/120)	0.063400	0.865000	Trim. Kurtosis (40/120)	-0.862000	0.238000

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