Variability - Ungrouped Data
Absolute range
20531
Relative range (unbiased)
4.53702308756518
Relative range (biased)
4.55817482501386
Variance (unbiased)
20477560.9595016
Variance (biased)
20287953.9135802
Standard Deviation (unbiased)
4525.21391312074
Standard Deviation (biased)
4504.21512736462
Coefficient of Variation (unbiased)
0.310049980344154
Coefficient of Variation (biased)
0.308611225572349
Mean Squared Error (MSE versus 0)
233305222.259259
Mean Squared Error (MSE versus Mean)
20287953.9135802
Mean Absolute Deviation from Mean (MAD Mean)
3665.88477366255
Mean Absolute Deviation from Median (MAD Median)
3640.96296296296
Median Absolute Deviation from Mean
3111.5
Median Absolute Deviation from Median
3111
Mean Squared Deviation from Mean
20287953.9135802
Mean Squared Deviation from Median
20557430.2592593
Interquartile Difference
(Weighted Average at Xnp)
6419
Interquartile Difference
(Weighted Average at X(n+1)p)
6437.5
Interquartile Difference
(Empirical Distribution Function)
6419
Interquartile Difference
(Empirical Distribution Function - Averaging)
6321
Interquartile Difference
(Empirical Distribution Function - Interpolation)
6204.5
Interquartile Difference
(Closest Observation)
6419
Interquartile Difference
(True Basic - Statistics Graphics Toolkit)
6204.5
Interquartile Difference
(MS Excel (old versions))
6554
Semi Interquartile Difference
(Weighted Average at Xnp)
3209.5
Semi Interquartile Difference
(Weighted Average at X(n+1)p)
3218.75
Semi Interquartile Difference
(Empirical Distribution Function)
3209.5
Semi Interquartile Difference
(Empirical Distribution Function - Averaging)
3160.5
Semi Interquartile Difference
(Empirical Distribution Function - Interpolation)
3102.25
Semi Interquartile Difference
(Closest Observation)
3209.5
Semi Interquartile Difference
(True Basic - Statistics Graphics Toolkit)
3102.25
Semi Interquartile Difference
(MS Excel (old versions))
3277
Coefficient of Quartile Variation
(Weighted Average at Xnp)
0.223619578470650
Coefficient of Quartile Variation
(Weighted Average at X(n+1)p)
0.222835681401225
Coefficient of Quartile Variation
(Empirical Distribution Function)
0.223619578470650
Coefficient of Quartile Variation
(Empirical Distribution Function - Averaging)
0.218432510885341
Coefficient of Quartile Variation
(Empirical Distribution Function - Interpolation)
0.214044226722324
Coefficient of Quartile Variation
(Closest Observation)
0.223619578470650
Coefficient of Quartile Variation
(True Basic - Statistics Graphics Toolkit)
0.214044226722324
Coefficient of Quartile Variation
(MS Excel (old versions))
0.227253814147018
Number of all Pairs of Observations
5778
Squared Differences between all Pairs of Observations
40955121.9190031
Mean Absolute Differences between all Pairs of Observations
5168.81031498789
Gini Mean Difference
5168.81031498789
Leik Measure of Dispersion
0.482929116840122
Index of Diversity
0.98985888066158
Index of Qualitative Variation
0.999109898237857
Coefficient of Dispersion
0.260435121743574
Observations
108