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:: Variability - Free Statistics Software (Calculator) ::
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The non-commercial (academic) use of this software is free of charge. The only thing that is asked in return is to cite this work when results are used in publications.
This free online software (calculator) computes the following statistics: absolute range, relative range, variance, standard error, coefficient of variation, mean squared error, mean absolute deviation, median absolute deviation, mean squared deviation, interquartile difference, semi interquartile difference, coefficient of quartile variation, number of pairs of observations, squared differences between observations, mean absolute differences between observations, Gini's mean difference, Leik's measure of dispersion, index of diversity, index of qualitative variation, and coefficient of dispersion.
Enter (or paste) your data delimited by hard returns.
| Variability - Ungrouped Data |
| Variability Measure | Value |
| Absolute Range | 334.200000 |
| Relative Range (unbiased) | 4.119630 |
| Relative Range (biased) | 4.135089 |
| Variance (unbiased) | 6581.068496 |
| Trimmed, Unbiased Variance (0/134) | 6581.068496 |
| Trimmed, Unbiased Variance (1/134) | 6243.192014 |
| Trimmed, Unbiased Variance (2/134) | 5953.995539 |
| Trimmed, Unbiased Variance (3/134) | 5718.575391 |
| Trimmed, Unbiased Variance (4/134) | 5491.877462 |
| Trimmed, Unbiased Variance (5/134) | 5260.414657 |
| Trimmed, Unbiased Variance (6/134) | 5040.941056 |
| Trimmed, Unbiased Variance (7/134) | 4838.943846 |
| Trimmed, Unbiased Variance (8/134) | 4637.678490 |
| Trimmed, Unbiased Variance (9/134) | 4432.987222 |
| Trimmed, Unbiased Variance (10/134) | 4262.680785 |
| Trimmed, Unbiased Variance (11/134) | 4094.612296 |
| Trimmed, Unbiased Variance (12/134) | 3929.843991 |
| Trimmed, Unbiased Variance (13/134) | 3766.605485 |
| Trimmed, Unbiased Variance (14/134) | 3619.344612 |
| Trimmed, Unbiased Variance (15/134) | 3476.610445 |
| Trimmed, Unbiased Variance (16/134) | 3330.056717 |
| Trimmed, Unbiased Variance (17/134) | 3177.925467 |
| Trimmed, Unbiased Variance (18/134) | 3028.859597 |
| Trimmed, Unbiased Variance (19/134) | 2875.455058 |
| Trimmed, Unbiased Variance (20/134) | 2729.403384 |
| Trimmed, Unbiased Variance (21/134) | 2589.648949 |
| Trimmed, Unbiased Variance (22/134) | 2463.302060 |
| Trimmed, Unbiased Variance (23/134) | 2339.681263 |
| Trimmed, Unbiased Variance (24/134) | 2221.085251 |
| Trimmed, Unbiased Variance (25/134) | 2114.137753 |
| Trimmed, Unbiased Variance (26/134) | 2008.130294 |
| Trimmed, Unbiased Variance (27/134) | 1911.138039 |
| Trimmed, Unbiased Variance (28/134) | 1819.784025 |
| Trimmed, Unbiased Variance (29/134) | 1733.319861 |
| Trimmed, Unbiased Variance (30/134) | 1649.215969 |
| Trimmed, Unbiased Variance (31/134) | 1561.750587 |
| Trimmed, Unbiased Variance (32/134) | 1477.806723 |
| Trimmed, Unbiased Variance (33/134) | 1397.463903 |
| Trimmed, Unbiased Variance (34/134) | 1316.668451 |
| Trimmed, Unbiased Variance (35/134) | 1233.860730 |
| Trimmed, Unbiased Variance (36/134) | 1172.410762 |
| Trimmed, Unbiased Variance (37/134) | 1113.809543 |
| Trimmed, Unbiased Variance (38/134) | 1059.735303 |
| Trimmed, Unbiased Variance (39/134) | 1003.441672 |
| Trimmed, Unbiased Variance (40/134) | 944.124388 |
| Variance (biased) | 6531.956044 |
| Standard Error (unbiased) | 81.123785 |
| Standard Error (biased) | 80.820517 |
| Coefficient of Variation (unbiased) | 0.031931 |
| Coefficient of Variation (biased) | 0.031812 |
| Mean Squared Error (MSE versus 0) | 6.461177e+6 |
| Mean Squared Error (MSE versus Mean) | 6531.956044 |
| Mean Absolute Deviation from Mean (MAD Mean) | 67.753163 |
| Mean Absolute Deviation from Median (MAD Median) | 64.861940 |
| Median Absolute Deviation from Mean | 58.650746 |
| Median Absolute Deviation from Median | 51.600000 |
| Mean Squared Deviation from Mean | 6531.956044 |
| Mean Squared Deviation from Median | 6950.189067 |
| Interquartile Difference (Weighted Average at Xnp) | 126.650000 |
| Interquartile Difference (Weighted Average at X(n+1)p) | 126.875000 |
| Interquartile Difference (Empirical Distribution Function) | 126.300000 |
| Interquartile Difference (Empirical Distribution Function - Averaging) | 126.300000 |
| Interquartile Difference (Empirical Distribution Function - Interpolation) | 125.925000 |
| Interquartile Difference (Closest Observation) | 126.300000 |
| Interquartile Difference (True Basic - Statistics Graphics Toolkit) | 128.025000 |
| Interquartile Difference (MS Excel (old versions)) | 126.300000 |
| Semi Interquartile Range (Weighted Average at Xnp) | 63.325000 |
| Semi Interquartile Range (Weighted Average at X(n+1)p) | 63.437500 |
| Semi Interquartile Range (Empirical Distribution Function) | 63.150000 |
| Semi Interquartile Range (Empirical Distribution Function - Averaging) | 63.150000 |
| Semi Interquartile Range (Empirical Distribution Function - Interpolation) | 62.962500 |
| Semi Interquartile Range (Closest Observation) | 63.150000 |
| Semi Interquartile Range (True Basic - Statistics Graphics Toolkit) | 64.012500 |
| Semi Interquartile Range (MS Excel (old versions)) | 63.150000 |
| Coefficent of Quartile Variation (Weighted Average at Xnp) | 0.024987 |
| Coefficent of Quartile Variation (Weighted Average at X(n+1)p) | 0.025028 |
| Coefficent of Quartile Variation (Empirical Distribution Function) | 0.024915 |
| Coefficent of Quartile Variation (Empirical Distribution Function - Averaging) | 0.024915 |
| Coefficent of Quartile Variation (Empirical Distribution Function - Interpolation) | 0.024840 |
| Coefficent of Quartile Variation (Closest Observation) | 0.024915 |
| Coefficent of Quartile Variation (True Basic - Statistics Graphics Toolkit) | 0.025255 |
| Coefficent of Quartile Variation (MS Excel (old versions)) | 0.024915 |
| Number of all Pairs of Observations | 8911.000000 |
| Squared Differences between all Pairs of Observations | 13162.136991 |
| Mean Absolute Differences between all Pairs of Observations | 91.391505 |
| Gini's Mean Difference | 91.391505 |
| Leik's Measure of Dispersion | 0.501548 |
| Index of Diversity | 0.992530 |
| Index of Qualitative Variation | 0.999992 |
| Coefficient of Dispersion | 0.025326 |
| Observations | 134 |
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To cite Wessa.net in publications use:
Wessa, P. (2008), Free Statistics Software, Office for Research Development and Education,
version 1.1.18, URL http://www.wessa.net/
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