Variability - Ungrouped Data
Absolute range129
Relative range (unbiased)6.13965659667948
Relative range (biased)6.18274243473205
Variance (unbiased)441.45989827856
Variance (biased)435.328510802469
Standard Deviation (unbiased)21.0109471057009
Standard Deviation (biased)20.8645275719933
Coefficient of Variation (unbiased)0.227316031797215
Coefficient of Variation (biased)0.22573192865267
Mean Squared Error (MSE versus 0)8978.73611111111
Mean Squared Error (MSE versus Mean)435.328510802469
Mean Absolute Deviation from Mean (MAD Mean)17.2280092592593
Mean Absolute Deviation from Median (MAD Median)17.0694444444444
Median Absolute Deviation from Mean15.5694444444444
Median Absolute Deviation from Median15
Mean Squared Deviation from Mean435.328510802469
Mean Squared Deviation from Median444.75
Interquartile Difference (Weighted Average at Xnp)32
Interquartile Difference (Weighted Average at X(n+1)p)31.75
Interquartile Difference (Empirical Distribution Function)32
Interquartile Difference (Empirical Distribution Function - Averaging)31.5
Interquartile Difference (Empirical Distribution Function - Interpolation)31.25
Interquartile Difference (Closest Observation)32
Interquartile Difference (True Basic - Statistics Graphics Toolkit)31.25
Interquartile Difference (MS Excel (old versions))32
Semi Interquartile Difference (Weighted Average at Xnp)16
Semi Interquartile Difference (Weighted Average at X(n+1)p)15.875
Semi Interquartile Difference (Empirical Distribution Function)16
Semi Interquartile Difference (Empirical Distribution Function - Averaging)15.75
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)15.625
Semi Interquartile Difference (Closest Observation)16
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)15.625
Semi Interquartile Difference (MS Excel (old versions))16
Coefficient of Quartile Variation (Weighted Average at Xnp)0.173913043478261
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.172320217096336
Coefficient of Quartile Variation (Empirical Distribution Function)0.173913043478261
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.170731707317073
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.16914749661705
Coefficient of Quartile Variation (Closest Observation)0.173913043478261
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.16914749661705
Coefficient of Quartile Variation (MS Excel (old versions))0.173913043478261
Number of all Pairs of Observations2556
Squared Differences between all Pairs of Observations882.91979655712
Mean Absolute Differences between all Pairs of Observations23.1412363067293
Gini Mean Difference23.1412363067293
Leik Measure of Dispersion0.495770415127882
Index of Diversity0.985403404116483
Index of Qualitative Variation0.999282325301222
Coefficient of Dispersion0.180398002714757
Observations72