::Free Statistics and Forecasting Software::

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

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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Data:
2443.6 2460.2 2448.2 2470.4 2484.7 2466.8 2487.9 2508.4 2510.5 2497.4 2532.5 2556.8 2561 2547.3 2541.5 2558.5 2587.9 2580.5 2579.6 2589.3 2595 2595.6 2588.8 2591.7 2601.7 2585.4 2573.3 2597.4 2600.6 2570.6 2569.4 2584.9 2608.8 2617.2 2621 2540.5 2554.5 2601.9 2623 2640.7 2640.7 2619.8 2624.2 2638.2 2645.7 2679.6 2669 2664.6 2663.3 2667.4 2653.2 2630.8 2626.6 2641.9 2625.8 2606 2594.4 2583.6 2588.7 2600.3 2579.5 2576.6 2597.8 2595.6 2599 2621.7 2645.6 2644.2 2625.6 2624.6 2596.2 2599.5 2584.1 2570.8 2555 2574.5 2576.7 2579 2588.7 2601.1 2575.7 2559.5 2561.1 2528.3 2514.7 2558.5 2553.3 2577.1 2566 2549.5 2527.8 2540.9 2534.2 2538 2559 2554.9 2575.5 2546.5 2561.6 2546.6 2502.9 2463.1 2472.6 2463.5 2446.3 2456.2 2471.5 2447.5 2428.6 2420.2 2414.9 2420.2 2423.8 2407 2388.7 2409.6 2392 2380.2 2423.3 2451.6 2440.8 2432.9 2413.6 2391.6 2358.1 2345.4 2384.4 2384.4 2384.4 2418.7 2420 2493.1 2493.1 2492.8
Sample Range: (leave blank to include all observations)
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Skewness and Kurtosis - Ungrouped Data
Skewness Measure	Value	Kurtosis Measure	Value
FISHER 3rd Cent. Mom.	-293282.319061	FISHER 4th Cent. Mom.	9.721278e+7
FISHER beta 1	0.308633	FISHER beta 2	2.278436
FISHER gamma 1	-0.555547	FISHER gamma 2	-0.721564
FISHER gamma 1 (S.E.)	0.211604	FISHER gamma 2 (S.E.)	0.423207
FISHER Test 1	-2.625414	FISHER Test 2	-1.704989
FISHER Test 1 Probability	0.008600	FISHER Test 2 Probability	0.087200
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)	Value	Kurtosis Measure (small sample)	Value
Skewness (small sample)	-0.561856	Kurtosis (small sample)	-0.703081
Skewness S.E. (small sample)	0.209286	Kurtosis S.E. (small sample)	0.415642
TEST 1 (small sample)	-2.684637	TEST 1 (small sample)	-1.691555
TEST 1 Prob. (small sample)	0.007200	TEST 1 Prob. (small sample)	0.089200
Observations	134

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)	Value	Probability	Kurtosis Measure (small sample)	Value	Probability
Trimmed Skewness (0/134)	-0.561900	0.007200	Trimmed Kurtosis (0/134)	-0.703100	0.089200
Trimmed Skewness (1/134)	-0.559300	0.007800	Trimmed Kurtosis (1/134)	-0.761000	0.068800
Trimmed Skewness (2/134)	-0.557800	0.008600	Trimmed Kurtosis (2/134)	-0.796300	0.058800
Trimmed Skewness (3/134)	-0.572600	0.007400	Trimmed Kurtosis (3/134)	-0.790900	0.061400
Trimmed Skewness (4/134)	-0.589000	0.006200	Trimmed Kurtosis (4/134)	-0.782800	0.067200
Trimmed Skewness (5/134)	-0.605000	0.005200	Trimmed Kurtosis (5/134)	-0.781900	0.068800
Trimmed Skewness (6/134)	-0.612200	0.005200	Trimmed Kurtosis (6/134)	-0.785300	0.070200
Trimmed Skewness (7/134)	-0.616100	0.005200	Trimmed Kurtosis (7/134)	-0.785200	0.071800
Trimmed Skewness (8/134)	-0.620900	0.005200	Trimmed Kurtosis (8/134)	-0.787800	0.073400
Trimmed Skewness (9/134)	-0.623000	0.005400	Trimmed Kurtosis (9/134)	-0.801600	0.071800
Trimmed Skewness (10/134)	-0.636400	0.004800	Trimmed Kurtosis (10/134)	-0.783800	0.080200
Trimmed Skewness (11/134)	-0.651000	0.004400	Trimmed Kurtosis (11/134)	-0.764900	0.091000
Trimmed Skewness (12/134)	-0.669700	0.003600	Trimmed Kurtosis (12/134)	-0.741700	0.103200
Trimmed Skewness (13/134)	-0.687700	0.003000	Trimmed Kurtosis (13/134)	-0.719400	0.116400
Trimmed Skewness (14/134)	-0.702200	0.002600	Trimmed Kurtosis (14/134)	-0.689900	0.136200
Trimmed Skewness (15/134)	-0.713800	0.002600	Trimmed Kurtosis (15/134)	-0.660600	0.158600
Trimmed Skewness (16/134)	-0.723700	0.002400	Trimmed Kurtosis (16/134)	-0.636700	0.177000
Trimmed Skewness (17/134)	-0.731500	0.002400	Trimmed Kurtosis (17/134)	-0.622400	0.190200
Trimmed Skewness (18/134)	-0.740200	0.002400	Trimmed Kurtosis (18/134)	-0.608000	0.207600
Trimmed Skewness (19/134)	-0.746300	0.002400	Trimmed Kurtosis (19/134)	-0.607500	0.211200
Trimmed Skewness (20/134)	-0.755300	0.002400	Trimmed Kurtosis (20/134)	-0.601900	0.218600
Trimmed Skewness (21/134)	-0.766800	0.002200	Trimmed Kurtosis (21/134)	-0.592200	0.234000
Trimmed Skewness (22/134)	-0.788500	0.001800	Trimmed Kurtosis (22/134)	-0.558200	0.267000
Trimmed Skewness (23/134)	-0.812800	0.001600	Trimmed Kurtosis (23/134)	-0.520700	0.303000
Trimmed Skewness (24/134)	-0.837500	0.001200	Trimmed Kurtosis (24/134)	-0.479000	0.347200
Trimmed Skewness (25/134)	-0.849900	0.001200	Trimmed Kurtosis (25/134)	-0.442200	0.389800
Trimmed Skewness (26/134)	-0.855500	0.001200	Trimmed Kurtosis (26/134)	-0.419100	0.423800
Trimmed Skewness (27/134)	-0.857000	0.001400	Trimmed Kurtosis (27/134)	-0.395500	0.453200
Trimmed Skewness (28/134)	-0.862200	0.001600	Trimmed Kurtosis (28/134)	-0.358500	0.502800
Trimmed Skewness (29/134)	-0.870000	0.001600	Trimmed Kurtosis (29/134)	-0.309700	0.568600
Trimmed Skewness (30/134)	-0.878100	0.001600	Trimmed Kurtosis (30/134)	-0.255200	0.638400
Trimmed Skewness (31/134)	-0.878900	0.001800	Trimmed Kurtosis (31/134)	-0.221900	0.689200
Trimmed Skewness (32/134)	-0.878300	0.002200	Trimmed Kurtosis (32/134)	-0.188600	0.733800
Trimmed Skewness (33/134)	-0.877400	0.002600	Trimmed Kurtosis (33/134)	-0.151900	0.787200
Trimmed Skewness (34/134)	-0.862600	0.003400	Trimmed Kurtosis (34/134)	-0.156100	0.787200
Trimmed Skewness (35/134)	-0.827000	0.005600	Trimmed Kurtosis (35/134)	-0.239100	0.681800
Trimmed Skewness (36/134)	-0.827500	0.006400	Trimmed Kurtosis (36/134)	-0.187700	0.749000
Trimmed Skewness (37/134)	-0.827700	0.007200	Trimmed Kurtosis (37/134)	-0.128900	0.825800
Trimmed Skewness (38/134)	-0.839900	0.007400	Trimmed Kurtosis (38/134)	-0.027800	0.960200
Trimmed Skewness (39/134)	-0.836900	0.008600	Trimmed Kurtosis (39/134)	0.036600	0.952200
Trimmed Skewness (40/134)	-0.800400	0.013600	Trimmed Kurtosis (40/134)	-0.011300	0.984000

To cite Wessa.net in publications use:
Wessa, P. (2009), Free Statistics Software, Office for Research Development and Education,
version 1.1.19, URL http://www.wessa.net/

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