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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Moduleskewkurt.wasp
Title produced by softwareSkewness and Kurtosis
Date of computationTue, 30 Nov 2010 14:54:27 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Nov/30/t1291128754eq866lrn2hh3iox.htm/, Retrieved Mon, 29 Apr 2024 09:40:29 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103562, Retrieved Mon, 29 Apr 2024 09:40:29 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact103

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Skewness and Kurtosis] [] [2010-11-30 14:54:27] [fff0a1ca5ad3b1801f382406d5a383a7] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
28.01
28.9
30.21
30.17
31.26
31.25
30.97
29.99
30.15
30.64
30.6
30.58
31.38
31.93
31.59
31.96
32.04
31.04
31.12
30.39
30.43
30.99
30.6
31.39
32.05
31.67
32.07
30.87
31.03
31.7
33.6
34.25
33.39
31.88
32.26
31.95
32.44
32.34
31.39
31.12
31.86
31.48
31.54
31.02
31.17
30.74
29.67
31.02
31.17
30.34
30.17
30.27
29.99
30.19
30.97
29.93
30.37
29.65
29.78
30.57
30.65
29.98
29.48
27.69
27.7
27.97
27.91
27.44
26.74
27.6
28.16
29.69
29.94
29.94
28.83
29.02
29.19
29.7
31.04
31.79
30.78
31.43
31.55
31.83
31.72
30.61
30.84
30.98
31.95
31.9
31.37
31.06
30.82
29.94
31.32
32.44
33.09
33.18
32.78
31.74
31.58
31.31
30.6
31.09
30.03
30.64
30.26
29.98
30.62
31.68
30.96
31.37
31.66
31.97
32.99
32.38
32.68
31.97
32.03
31.42

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-1.480374FISHER 4th Cent. Mom.12.092988
FISHER beta 10.393118FISHER beta 23.846392
FISHER gamma 1-0.626991FISHER gamma 20.846392
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-2.803990FISHER Test 21.892591
FISHER Test 1 Probability0.005000FISHER Test 2 Probability0.057400
Pearson 2-0.371867
Yule using Quartile definition:Weighted Average at Xnp-0.111111
Yule using Quartile definition:Weighted Average at X(n+1)p-0.100324
Yule using Quartile definition:Empirical Distribution Function-0.111111
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.103896
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.107492
Yule using Quartile definition:Closest Observation-0.111111
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.107492
Yule using Quartile definition:MS Excel (old versions)-0.096774
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.634956Kurtosis (small sample)0.934463
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-2.874684TEST 1 (small sample)2.131869
TEST 1 Prob. (small sample)0.004000TEST 1 Prob. (small sample)0.032400
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-1.480374 & FISHER 4th Cent. Mom.12.092988 \tabularnewline FISHER beta 10.393118 & FISHER beta 23.846392 \tabularnewline FISHER gamma 1-0.626991 & FISHER gamma 20.846392 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 1-2.803990 & FISHER Test 21.892591 \tabularnewline FISHER Test 1 Probability0.005000 & FISHER Test 2 Probability0.057400 \tabularnewline Pearson 2-0.371867 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.111111 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.100324 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.111111 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.103896 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.107492 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.111111 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.107492 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.096774 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.634956 & Kurtosis (small sample)0.934463 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)-2.874684 & TEST 1 (small sample)2.131869 \tabularnewline TEST 1 Prob. (small sample)0.004000 & TEST 1 Prob. (small sample)0.032400 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103562&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]-1.480374[/C][C]FISHER 4th Cent. Mom.[/C]12.092988[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.393118[/C][C]FISHER beta 2[/C]3.846392[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.626991[/C][C]FISHER gamma 2[/C]0.846392[/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]-2.803990[/C][C]FISHER Test 2[/C]1.892591[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.005000[/C][C]FISHER Test 2 Probability[/C]0.057400[/C][/ROW] [ROW][C]Pearson 2[/C]-0.371867[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.111111[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.100324[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.111111[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.103896[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.107492[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.111111[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.107492[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.096774[/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]-0.634956[/C][C]Kurtosis (small sample)[/C]0.934463[/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]-2.874684[/C][C]TEST 1 (small sample)[/C]2.131869[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.004000[/C][C]TEST 1 Prob. (small sample)[/C]0.032400[/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=103562&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103562&T=0

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

Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-1.480374FISHER 4th Cent. Mom.12.092988
FISHER beta 10.393118FISHER beta 23.846392
FISHER gamma 1-0.626991FISHER gamma 20.846392
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-2.803990FISHER Test 21.892591
FISHER Test 1 Probability0.005000FISHER Test 2 Probability0.057400
Pearson 2-0.371867
Yule using Quartile definition:Weighted Average at Xnp-0.111111
Yule using Quartile definition:Weighted Average at X(n+1)p-0.100324
Yule using Quartile definition:Empirical Distribution Function-0.111111
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.103896
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.107492
Yule using Quartile definition:Closest Observation-0.111111
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.107492
Yule using Quartile definition:MS Excel (old versions)-0.096774
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.634956Kurtosis (small sample)0.934463
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-2.874684TEST 1 (small sample)2.131869
TEST 1 Prob. (small sample)0.004000TEST 1 Prob. (small sample)0.032400
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.6350000.004000Trim. Kurtosis (0/120)0.9345000.032400
Trim. Skewness (1/120)-0.6619000.002800Trim. Kurtosis (1/120)0.6748000.126000
Trim. Skewness (2/120)-0.6891000.002200Trim. Kurtosis (2/120)0.6768000.128600
Trim. Skewness (3/120)-0.7093000.001600Trim. Kurtosis (3/120)0.6903000.123600
Trim. Skewness (4/120)-0.7114000.001800Trim. Kurtosis (4/120)0.6889000.126000
Trim. Skewness (5/120)-0.6920000.002600Trim. Kurtosis (5/120)0.6029000.186800
Trim. Skewness (6/120)-0.6763000.003600Trim. Kurtosis (6/120)0.5205000.258400
Trim. Skewness (7/120)-0.6215000.008000Trim. Kurtosis (7/120)0.3496000.447200
Trim. Skewness (8/120)-0.5221000.027200Trim. Kurtosis (8/120)-0.0014000.992000
Trim. Skewness (9/120)-0.3732000.116400Trim. Kurtosis (9/120)-0.4827000.307800
Trim. Skewness (10/120)-0.3361000.161600Trim. Kurtosis (10/120)-0.5929000.215000
Trim. Skewness (11/120)-0.2877000.234000Trim. Kurtosis (11/120)-0.7413000.123600
Trim. Skewness (12/120)-0.2394000.327000Trim. Kurtosis (12/120)-0.9052000.062800
Trim. Skewness (13/120)-0.1983000.423800Trim. Kurtosis (13/120)-1.0405000.034000
Trim. Skewness (14/120)-0.1764000.477600Trim. Kurtosis (14/120)-1.0698000.031600
Trim. Skewness (15/120)-0.1702000.496400Trim. Kurtosis (15/120)-1.0657000.034000
Trim. Skewness (16/120)-0.1629000.522200Trim. Kurtosis (16/120)-1.0657000.035800
Trim. Skewness (17/120)-0.1542000.548400Trim. Kurtosis (17/120)-1.0714000.036600
Trim. Skewness (18/120)-0.1364000.603000Trim. Kurtosis (18/120)-1.0829000.036600
Trim. Skewness (19/120)-0.1261000.631200Trim. Kurtosis (19/120)-1.0846000.038400
Trim. Skewness (20/120)-0.1327000.617000Trim. Kurtosis (20/120)-1.0606000.045600
Trim. Skewness (21/120)-0.1399000.603000Trim. Kurtosis (21/120)-1.0372000.053600
Trim. Skewness (22/120)-0.1481000.589200Trim. Kurtosis (22/120)-1.0195000.060200
Trim. Skewness (23/120)-0.1539000.575400Trim. Kurtosis (23/120)-1.0074000.067200
Trim. Skewness (24/120)-0.1617000.562000Trim. Kurtosis (24/120)-0.9896000.075000
Trim. Skewness (25/120)-0.1661000.562000Trim. Kurtosis (25/120)-0.9801000.081800
Trim. Skewness (26/120)-0.1677000.562000Trim. Kurtosis (26/120)-0.9807000.087200
Trim. Skewness (27/120)-0.1600000.582400Trim. Kurtosis (27/120)-1.0010000.085400
Trim. Skewness (28/120)-0.1486000.617000Trim. Kurtosis (28/120)-1.0231000.081800
Trim. Skewness (29/120)-0.1529000.610000Trim. Kurtosis (29/120)-0.9993000.095000
Trim. Skewness (30/120)-0.1569000.610000Trim. Kurtosis (30/120)-0.9750000.107400
Trim. Skewness (31/120)-0.1539000.617000Trim. Kurtosis (31/120)-0.9628000.118800
Trim. Skewness (32/120)-0.1474000.638400Trim. Kurtosis (32/120)-0.9592000.126000
Trim. Skewness (33/120)-0.1394000.667200Trim. Kurtosis (33/120)-0.9758000.126000
Trim. Skewness (34/120)-0.1439000.660000Trim. Kurtosis (34/120)-0.9977000.123600
Trim. Skewness (35/120)-0.1183000.718800Trim. Kurtosis (35/120)-1.0328000.116400
Trim. Skewness (36/120)-0.1129000.741400Trim. Kurtosis (36/120)-1.0508000.118800
Trim. Skewness (37/120)-0.1029000.764200Trim. Kurtosis (37/120)-1.0776000.116400
Trim. Skewness (38/120)-0.0912000.794800Trim. Kurtosis (38/120)-1.1522000.099000
Trim. Skewness (39/120)-0.0600000.865000Trim. Kurtosis (39/120)-1.2183000.087200
Trim. Skewness (40/120)-0.0748000.833600Trim. Kurtosis (40/120)-1.1641000.111800

\begin{tabular}{lllllllll}
\hline

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

Skewness Measure (small sample)
ValueProbabilityKurtosis Measure (small sample)ValueProbability \tabularnewline Trim. Skewness (0/120)-0.6350000.004000 & Trim. Kurtosis (0/120)0.9345000.032400 \tabularnewline Trim. Skewness (1/120)-0.6619000.002800 & Trim. Kurtosis (1/120)0.6748000.126000 \tabularnewline Trim. Skewness (2/120)-0.6891000.002200 & Trim. Kurtosis (2/120)0.6768000.128600 \tabularnewline Trim. Skewness (3/120)-0.7093000.001600 & Trim. Kurtosis (3/120)0.6903000.123600 \tabularnewline Trim. Skewness (4/120)-0.7114000.001800 & Trim. Kurtosis (4/120)0.6889000.126000 \tabularnewline Trim. Skewness (5/120)-0.6920000.002600 & Trim. Kurtosis (5/120)0.6029000.186800 \tabularnewline Trim. Skewness (6/120)-0.6763000.003600 & Trim. Kurtosis (6/120)0.5205000.258400 \tabularnewline Trim. Skewness (7/120)-0.6215000.008000 & Trim. Kurtosis (7/120)0.3496000.447200 \tabularnewline Trim. Skewness (8/120)-0.5221000.027200 & Trim. Kurtosis (8/120)-0.0014000.992000 \tabularnewline Trim. Skewness (9/120)-0.3732000.116400 & Trim. Kurtosis (9/120)-0.4827000.307800 \tabularnewline Trim. Skewness (10/120)-0.3361000.161600 & Trim. Kurtosis (10/120)-0.5929000.215000 \tabularnewline Trim. Skewness (11/120)-0.2877000.234000 & Trim. Kurtosis (11/120)-0.7413000.123600 \tabularnewline Trim. Skewness (12/120)-0.2394000.327000 & Trim. Kurtosis (12/120)-0.9052000.062800 \tabularnewline Trim. Skewness (13/120)-0.1983000.423800 & Trim. Kurtosis (13/120)-1.0405000.034000 \tabularnewline Trim. Skewness (14/120)-0.1764000.477600 & Trim. Kurtosis (14/120)-1.0698000.031600 \tabularnewline Trim. Skewness (15/120)-0.1702000.496400 & Trim. Kurtosis (15/120)-1.0657000.034000 \tabularnewline Trim. Skewness (16/120)-0.1629000.522200 & Trim. Kurtosis (16/120)-1.0657000.035800 \tabularnewline Trim. Skewness (17/120)-0.1542000.548400 & Trim. Kurtosis (17/120)-1.0714000.036600 \tabularnewline Trim. Skewness (18/120)-0.1364000.603000 & Trim. Kurtosis (18/120)-1.0829000.036600 \tabularnewline Trim. Skewness (19/120)-0.1261000.631200 & Trim. Kurtosis (19/120)-1.0846000.038400 \tabularnewline Trim. Skewness (20/120)-0.1327000.617000 & Trim. Kurtosis (20/120)-1.0606000.045600 \tabularnewline Trim. Skewness (21/120)-0.1399000.603000 & Trim. Kurtosis (21/120)-1.0372000.053600 \tabularnewline Trim. Skewness (22/120)-0.1481000.589200 & Trim. Kurtosis (22/120)-1.0195000.060200 \tabularnewline Trim. Skewness (23/120)-0.1539000.575400 & Trim. Kurtosis (23/120)-1.0074000.067200 \tabularnewline Trim. Skewness (24/120)-0.1617000.562000 & Trim. Kurtosis (24/120)-0.9896000.075000 \tabularnewline Trim. Skewness (25/120)-0.1661000.562000 & Trim. Kurtosis (25/120)-0.9801000.081800 \tabularnewline Trim. Skewness (26/120)-0.1677000.562000 & Trim. Kurtosis (26/120)-0.9807000.087200 \tabularnewline Trim. Skewness (27/120)-0.1600000.582400 & Trim. Kurtosis (27/120)-1.0010000.085400 \tabularnewline Trim. Skewness (28/120)-0.1486000.617000 & Trim. Kurtosis (28/120)-1.0231000.081800 \tabularnewline Trim. Skewness (29/120)-0.1529000.610000 & Trim. Kurtosis (29/120)-0.9993000.095000 \tabularnewline Trim. Skewness (30/120)-0.1569000.610000 & Trim. Kurtosis (30/120)-0.9750000.107400 \tabularnewline Trim. Skewness (31/120)-0.1539000.617000 & Trim. Kurtosis (31/120)-0.9628000.118800 \tabularnewline Trim. Skewness (32/120)-0.1474000.638400 & Trim. Kurtosis (32/120)-0.9592000.126000 \tabularnewline Trim. Skewness (33/120)-0.1394000.667200 & Trim. Kurtosis (33/120)-0.9758000.126000 \tabularnewline Trim. Skewness (34/120)-0.1439000.660000 & Trim. Kurtosis (34/120)-0.9977000.123600 \tabularnewline Trim. Skewness (35/120)-0.1183000.718800 & Trim. Kurtosis (35/120)-1.0328000.116400 \tabularnewline Trim. Skewness (36/120)-0.1129000.741400 & Trim. Kurtosis (36/120)-1.0508000.118800 \tabularnewline Trim. Skewness (37/120)-0.1029000.764200 & Trim. Kurtosis (37/120)-1.0776000.116400 \tabularnewline Trim. Skewness (38/120)-0.0912000.794800 & Trim. Kurtosis (38/120)-1.1522000.099000 \tabularnewline Trim. Skewness (39/120)-0.0600000.865000 & Trim. Kurtosis (39/120)-1.2183000.087200 \tabularnewline Trim. Skewness (40/120)-0.0748000.833600 & Trim. Kurtosis (40/120)-1.1641000.111800 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103562&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]-0.635000[/C]0.004000[/C][C]Trim. Kurtosis (0/120)[/C]0.934500[/C]0.032400[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]-0.661900[/C]0.002800[/C][C]Trim. Kurtosis (1/120)[/C]0.674800[/C]0.126000[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]-0.689100[/C]0.002200[/C][C]Trim. Kurtosis (2/120)[/C]0.676800[/C]0.128600[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]-0.709300[/C]0.001600[/C][C]Trim. Kurtosis (3/120)[/C]0.690300[/C]0.123600[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]-0.711400[/C]0.001800[/C][C]Trim. Kurtosis (4/120)[/C]0.688900[/C]0.126000[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]-0.692000[/C]0.002600[/C][C]Trim. Kurtosis (5/120)[/C]0.602900[/C]0.186800[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]-0.676300[/C]0.003600[/C][C]Trim. Kurtosis (6/120)[/C]0.520500[/C]0.258400[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]-0.621500[/C]0.008000[/C][C]Trim. Kurtosis (7/120)[/C]0.349600[/C]0.447200[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]-0.522100[/C]0.027200[/C][C]Trim. Kurtosis (8/120)[/C]-0.001400[/C]0.992000[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]-0.373200[/C]0.116400[/C][C]Trim. Kurtosis (9/120)[/C]-0.482700[/C]0.307800[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]-0.336100[/C]0.161600[/C][C]Trim. Kurtosis (10/120)[/C]-0.592900[/C]0.215000[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]-0.287700[/C]0.234000[/C][C]Trim. Kurtosis (11/120)[/C]-0.741300[/C]0.123600[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]-0.239400[/C]0.327000[/C][C]Trim. Kurtosis (12/120)[/C]-0.905200[/C]0.062800[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]-0.198300[/C]0.423800[/C][C]Trim. Kurtosis (13/120)[/C]-1.040500[/C]0.034000[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]-0.176400[/C]0.477600[/C][C]Trim. Kurtosis (14/120)[/C]-1.069800[/C]0.031600[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]-0.170200[/C]0.496400[/C][C]Trim. Kurtosis (15/120)[/C]-1.065700[/C]0.034000[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]-0.162900[/C]0.522200[/C][C]Trim. Kurtosis (16/120)[/C]-1.065700[/C]0.035800[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]-0.154200[/C]0.548400[/C][C]Trim. Kurtosis (17/120)[/C]-1.071400[/C]0.036600[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]-0.136400[/C]0.603000[/C][C]Trim. Kurtosis (18/120)[/C]-1.082900[/C]0.036600[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]-0.126100[/C]0.631200[/C][C]Trim. Kurtosis (19/120)[/C]-1.084600[/C]0.038400[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]-0.132700[/C]0.617000[/C][C]Trim. Kurtosis (20/120)[/C]-1.060600[/C]0.045600[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]-0.139900[/C]0.603000[/C][C]Trim. Kurtosis (21/120)[/C]-1.037200[/C]0.053600[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]-0.148100[/C]0.589200[/C][C]Trim. Kurtosis (22/120)[/C]-1.019500[/C]0.060200[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]-0.153900[/C]0.575400[/C][C]Trim. Kurtosis (23/120)[/C]-1.007400[/C]0.067200[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]-0.161700[/C]0.562000[/C][C]Trim. Kurtosis (24/120)[/C]-0.989600[/C]0.075000[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]-0.166100[/C]0.562000[/C][C]Trim. Kurtosis (25/120)[/C]-0.980100[/C]0.081800[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]-0.167700[/C]0.562000[/C][C]Trim. Kurtosis (26/120)[/C]-0.980700[/C]0.087200[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]-0.160000[/C]0.582400[/C][C]Trim. Kurtosis (27/120)[/C]-1.001000[/C]0.085400[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]-0.148600[/C]0.617000[/C][C]Trim. Kurtosis (28/120)[/C]-1.023100[/C]0.081800[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]-0.152900[/C]0.610000[/C][C]Trim. Kurtosis (29/120)[/C]-0.999300[/C]0.095000[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]-0.156900[/C]0.610000[/C][C]Trim. Kurtosis (30/120)[/C]-0.975000[/C]0.107400[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]-0.153900[/C]0.617000[/C][C]Trim. Kurtosis (31/120)[/C]-0.962800[/C]0.118800[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]-0.147400[/C]0.638400[/C][C]Trim. Kurtosis (32/120)[/C]-0.959200[/C]0.126000[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]-0.139400[/C]0.667200[/C][C]Trim. Kurtosis (33/120)[/C]-0.975800[/C]0.126000[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]-0.143900[/C]0.660000[/C][C]Trim. Kurtosis (34/120)[/C]-0.997700[/C]0.123600[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]-0.118300[/C]0.718800[/C][C]Trim. Kurtosis (35/120)[/C]-1.032800[/C]0.116400[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]-0.112900[/C]0.741400[/C][C]Trim. Kurtosis (36/120)[/C]-1.050800[/C]0.118800[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]-0.102900[/C]0.764200[/C][C]Trim. Kurtosis (37/120)[/C]-1.077600[/C]0.116400[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]-0.091200[/C]0.794800[/C][C]Trim. Kurtosis (38/120)[/C]-1.152200[/C]0.099000[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]-0.060000[/C]0.865000[/C][C]Trim. Kurtosis (39/120)[/C]-1.218300[/C]0.087200[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]-0.074800[/C]0.833600[/C][C]Trim. Kurtosis (40/120)[/C]-1.164100[/C]0.111800[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103562&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103562&T=1

As an alternative you can also use a QR Code:  
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)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.6350000.004000Trim. Kurtosis (0/120)0.9345000.032400
Trim. Skewness (1/120)-0.6619000.002800Trim. Kurtosis (1/120)0.6748000.126000
Trim. Skewness (2/120)-0.6891000.002200Trim. Kurtosis (2/120)0.6768000.128600
Trim. Skewness (3/120)-0.7093000.001600Trim. Kurtosis (3/120)0.6903000.123600
Trim. Skewness (4/120)-0.7114000.001800Trim. Kurtosis (4/120)0.6889000.126000
Trim. Skewness (5/120)-0.6920000.002600Trim. Kurtosis (5/120)0.6029000.186800
Trim. Skewness (6/120)-0.6763000.003600Trim. Kurtosis (6/120)0.5205000.258400
Trim. Skewness (7/120)-0.6215000.008000Trim. Kurtosis (7/120)0.3496000.447200
Trim. Skewness (8/120)-0.5221000.027200Trim. Kurtosis (8/120)-0.0014000.992000
Trim. Skewness (9/120)-0.3732000.116400Trim. Kurtosis (9/120)-0.4827000.307800
Trim. Skewness (10/120)-0.3361000.161600Trim. Kurtosis (10/120)-0.5929000.215000
Trim. Skewness (11/120)-0.2877000.234000Trim. Kurtosis (11/120)-0.7413000.123600
Trim. Skewness (12/120)-0.2394000.327000Trim. Kurtosis (12/120)-0.9052000.062800
Trim. Skewness (13/120)-0.1983000.423800Trim. Kurtosis (13/120)-1.0405000.034000
Trim. Skewness (14/120)-0.1764000.477600Trim. Kurtosis (14/120)-1.0698000.031600
Trim. Skewness (15/120)-0.1702000.496400Trim. Kurtosis (15/120)-1.0657000.034000
Trim. Skewness (16/120)-0.1629000.522200Trim. Kurtosis (16/120)-1.0657000.035800
Trim. Skewness (17/120)-0.1542000.548400Trim. Kurtosis (17/120)-1.0714000.036600
Trim. Skewness (18/120)-0.1364000.603000Trim. Kurtosis (18/120)-1.0829000.036600
Trim. Skewness (19/120)-0.1261000.631200Trim. Kurtosis (19/120)-1.0846000.038400
Trim. Skewness (20/120)-0.1327000.617000Trim. Kurtosis (20/120)-1.0606000.045600
Trim. Skewness (21/120)-0.1399000.603000Trim. Kurtosis (21/120)-1.0372000.053600
Trim. Skewness (22/120)-0.1481000.589200Trim. Kurtosis (22/120)-1.0195000.060200
Trim. Skewness (23/120)-0.1539000.575400Trim. Kurtosis (23/120)-1.0074000.067200
Trim. Skewness (24/120)-0.1617000.562000Trim. Kurtosis (24/120)-0.9896000.075000
Trim. Skewness (25/120)-0.1661000.562000Trim. Kurtosis (25/120)-0.9801000.081800
Trim. Skewness (26/120)-0.1677000.562000Trim. Kurtosis (26/120)-0.9807000.087200
Trim. Skewness (27/120)-0.1600000.582400Trim. Kurtosis (27/120)-1.0010000.085400
Trim. Skewness (28/120)-0.1486000.617000Trim. Kurtosis (28/120)-1.0231000.081800
Trim. Skewness (29/120)-0.1529000.610000Trim. Kurtosis (29/120)-0.9993000.095000
Trim. Skewness (30/120)-0.1569000.610000Trim. Kurtosis (30/120)-0.9750000.107400
Trim. Skewness (31/120)-0.1539000.617000Trim. Kurtosis (31/120)-0.9628000.118800
Trim. Skewness (32/120)-0.1474000.638400Trim. Kurtosis (32/120)-0.9592000.126000
Trim. Skewness (33/120)-0.1394000.667200Trim. Kurtosis (33/120)-0.9758000.126000
Trim. Skewness (34/120)-0.1439000.660000Trim. Kurtosis (34/120)-0.9977000.123600
Trim. Skewness (35/120)-0.1183000.718800Trim. Kurtosis (35/120)-1.0328000.116400
Trim. Skewness (36/120)-0.1129000.741400Trim. Kurtosis (36/120)-1.0508000.118800
Trim. Skewness (37/120)-0.1029000.764200Trim. Kurtosis (37/120)-1.0776000.116400
Trim. Skewness (38/120)-0.0912000.794800Trim. Kurtosis (38/120)-1.1522000.099000
Trim. Skewness (39/120)-0.0600000.865000Trim. Kurtosis (39/120)-1.2183000.087200
Trim. Skewness (40/120)-0.0748000.833600Trim. Kurtosis (40/120)-1.1641000.111800


Figures (Output of Computation)

Input Parameters & R Code

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