::Free Statistics and Forecasting Software::

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:: Skewness and Kurtosis - Free Statistics Software (Calculator) ::

All rights reserved. The non-commercial (academic) use of this software is free of charge. The only thing that is asked in return is to cite this software when results are used in publications.

This free online software (calculator) computes the following Skewness and Kurtosis statistics: Fisher beta, Fisher gamma, Pearson, Yule, small sample skewness test, and small sample kurtosis test.

Enter (or paste) your data delimited by hard returns.

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Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-293282.319061FISHER 4th Cent. Mom.9.721278e+7
FISHER beta 10.308633FISHER beta 22.278436
FISHER gamma 1-0.555547FISHER gamma 2-0.721564
FISHER gamma 1 (S.E.)0.211604FISHER gamma 2 (S.E.)0.423207
FISHER Test 1-2.625414FISHER Test 2-1.704989
FISHER Test 1 Probability0.008600FISHER Test 2 Probability0.087200
Pearson 2-0.756279
Yule using Quartile definition:
Weighted Average at Xnp
-0.422819
Yule using Quartile definition:
Weighted Average at X(n+1)p
-0.415961
Yule using Quartile definition:
Empirical Distribution Function
-0.418052
Yule using Quartile definition:
Empirical Distribution Function - Averaging
-0.418052
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
-0.417907
Yule using Quartile definition:
Closest Observation
-0.418052
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
-0.411834
Yule using Quartile definition:
MS Excel (old versions)
-0.418052
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.561856Kurtosis (small sample)-0.703081
Skewness S.E. (small sample)0.209286Kurtosis S.E. (small sample)0.415642
TEST 1 (small sample)-2.684637TEST 1 (small sample)-1.691555
TEST 1 Prob. (small sample)0.007200TEST 1 Prob. (small sample)0.089200
Observations134

Normal Distribution Probability
(mathematical equation plotter)
Parameter
H0
S.E.
Tails (1 or 2)
Normal Distribution Probability
(mathematical equation plotter)
Parameter
H0
S.E.
Tails (1 or 2)
Normal Distribution Probability
(mathematical equation plotter)
Parameter
H0
S.E.
Tails (1 or 2)
Normal Distribution Probability
(mathematical equation plotter)
Parameter
H0
S.E.
Tails (1 or 2)


Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/134)-0.5619000.007200Trim. Kurtosis (0/134)-0.7031000.089200
Trim. Skewness (1/134)-0.5593000.007800Trim. Kurtosis (1/134)-0.7610000.068800
Trim. Skewness (2/134)-0.5578000.008600Trim. Kurtosis (2/134)-0.7963000.058800
Trim. Skewness (3/134)-0.5726000.007400Trim. Kurtosis (3/134)-0.7909000.061400
Trim. Skewness (4/134)-0.5890000.006200Trim. Kurtosis (4/134)-0.7828000.067200
Trim. Skewness (5/134)-0.6050000.005200Trim. Kurtosis (5/134)-0.7819000.068800
Trim. Skewness (6/134)-0.6122000.005200Trim. Kurtosis (6/134)-0.7853000.070200
Trim. Skewness (7/134)-0.6161000.005200Trim. Kurtosis (7/134)-0.7852000.071800
Trim. Skewness (8/134)-0.6209000.005200Trim. Kurtosis (8/134)-0.7878000.073400
Trim. Skewness (9/134)-0.6230000.005400Trim. Kurtosis (9/134)-0.8016000.071800
Trim. Skewness (10/134)-0.6364000.004800Trim. Kurtosis (10/134)-0.7838000.080200
Trim. Skewness (11/134)-0.6510000.004400Trim. Kurtosis (11/134)-0.7649000.091000
Trim. Skewness (12/134)-0.6697000.003600Trim. Kurtosis (12/134)-0.7417000.103200
Trim. Skewness (13/134)-0.6877000.003000Trim. Kurtosis (13/134)-0.7194000.116400
Trim. Skewness (14/134)-0.7022000.002600Trim. Kurtosis (14/134)-0.6899000.136200
Trim. Skewness (15/134)-0.7138000.002600Trim. Kurtosis (15/134)-0.6606000.158600
Trim. Skewness (16/134)-0.7237000.002400Trim. Kurtosis (16/134)-0.6367000.177000
Trim. Skewness (17/134)-0.7315000.002400Trim. Kurtosis (17/134)-0.6224000.190200
Trim. Skewness (18/134)-0.7402000.002400Trim. Kurtosis (18/134)-0.6080000.207600
Trim. Skewness (19/134)-0.7463000.002400Trim. Kurtosis (19/134)-0.6075000.211200
Trim. Skewness (20/134)-0.7553000.002400Trim. Kurtosis (20/134)-0.6019000.218600
Trim. Skewness (21/134)-0.7668000.002200Trim. Kurtosis (21/134)-0.5922000.234000
Trim. Skewness (22/134)-0.7885000.001800Trim. Kurtosis (22/134)-0.5582000.267000
Trim. Skewness (23/134)-0.8128000.001600Trim. Kurtosis (23/134)-0.5207000.303000
Trim. Skewness (24/134)-0.8375000.001200Trim. Kurtosis (24/134)-0.4790000.347200
Trim. Skewness (25/134)-0.8499000.001200Trim. Kurtosis (25/134)-0.4422000.389800
Trim. Skewness (26/134)-0.8555000.001200Trim. Kurtosis (26/134)-0.4191000.423800
Trim. Skewness (27/134)-0.8570000.001400Trim. Kurtosis (27/134)-0.3955000.453200
Trim. Skewness (28/134)-0.8622000.001600Trim. Kurtosis (28/134)-0.3585000.502800
Trim. Skewness (29/134)-0.8700000.001600Trim. Kurtosis (29/134)-0.3097000.568600
Trim. Skewness (30/134)-0.8781000.001600Trim. Kurtosis (30/134)-0.2552000.638400
Trim. Skewness (31/134)-0.8789000.001800Trim. Kurtosis (31/134)-0.2219000.689200
Trim. Skewness (32/134)-0.8783000.002200Trim. Kurtosis (32/134)-0.1886000.733800
Trim. Skewness (33/134)-0.8774000.002600Trim. Kurtosis (33/134)-0.1519000.787200
Trim. Skewness (34/134)-0.8626000.003400Trim. Kurtosis (34/134)-0.1561000.787200
Trim. Skewness (35/134)-0.8270000.005600Trim. Kurtosis (35/134)-0.2391000.681800
Trim. Skewness (36/134)-0.8275000.006400Trim. Kurtosis (36/134)-0.1877000.749000
Trim. Skewness (37/134)-0.8277000.007200Trim. Kurtosis (37/134)-0.1289000.825800
Trim. Skewness (38/134)-0.8399000.007400Trim. Kurtosis (38/134)-0.0278000.960200
Trim. Skewness (39/134)-0.8369000.008600Trim. Kurtosis (39/134)0.0366000.952200
Trim. Skewness (40/134)-0.8004000.013600Trim. Kurtosis (40/134)-0.0113000.984000




Trimmed Skewness

Trimmed Kurtosis

Top | Output | Charts | References | History | Feedback
Last computationDelete history
Server DateModuleCommand
Sat, 01 Nov 2014 00:48:11 +0000Skewness and KurtosisPrint | Word | Excel | Blog this | Delete
Sat, 01 Nov 2014 00:48:11 +0000Start of session-
Top | Output | Charts | References | History | Feedback

To cite Wessa.net in publications use:
Wessa, P. (2014), Free Statistics Software, Office for Research Development and Education,
version 1.1.23-r7, URL http://www.wessa.net/

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Software Version : 1.1.23-r7
Algorithms & Software : Patrick Wessa, PhD
Server : www.wessa.net

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