Variability - Ungrouped Data
Absolute range
19139
Relative range (unbiased)
4.31268124056773
Relative range (biased)
4.33858346289024
Variance (unbiased)
19694445.8524096
Variance (biased)
19459988.1636905
Standard Deviation (unbiased)
4437.84247719651
Standard Deviation (biased)
4411.34765844753
Coefficient of Variation (unbiased)
0.376239797986182
Coefficient of Variation (biased)
0.373993570161508
Mean Squared Error (MSE versus 0)
158587910.726190
Mean Squared Error (MSE versus Mean)
19459988.1636905
Mean Absolute Deviation from Mean (MAD Mean)
3642.84523809524
Mean Absolute Deviation from Median (MAD Median)
3642.84523809524
Median Absolute Deviation from Mean
3611.75
Median Absolute Deviation from Median
3620.5
Mean Squared Deviation from Mean
19459988.1636905
Mean Squared Deviation from Median
19460064.7261905
Interquartile Difference
(Weighted Average at Xnp)
6964
Interquartile Difference
(Weighted Average at X(n+1)p)
7270.25
Interquartile Difference
(Empirical Distribution Function)
6964
Interquartile Difference
(Empirical Distribution Function - Averaging)
7156.5
Interquartile Difference
(Empirical Distribution Function - Interpolation)
7042.75
Interquartile Difference
(Closest Observation)
6964
Interquartile Difference
(True Basic - Statistics Graphics Toolkit)
7042.75
Interquartile Difference
(MS Excel (old versions))
7384
Semi Interquartile Difference
(Weighted Average at Xnp)
3482
Semi Interquartile Difference
(Weighted Average at X(n+1)p)
3635.125
Semi Interquartile Difference
(Empirical Distribution Function)
3482
Semi Interquartile Difference
(Empirical Distribution Function - Averaging)
3578.25
Semi Interquartile Difference
(Empirical Distribution Function - Interpolation)
3521.375
Semi Interquartile Difference
(Closest Observation)
3482
Semi Interquartile Difference
(True Basic - Statistics Graphics Toolkit)
3521.375
Semi Interquartile Difference
(MS Excel (old versions))
3692
Coefficient of Quartile Variation
(Weighted Average at Xnp)
0.298935439560440
Coefficient of Quartile Variation
(Weighted Average at X(n+1)p)
0.307803850591137
Coefficient of Quartile Variation
(Empirical Distribution Function)
0.298935439560440
Coefficient of Quartile Variation
(Empirical Distribution Function - Averaging)
0.304227687206411
Coefficient of Quartile Variation
(Empirical Distribution Function - Interpolation)
0.300622138748679
Coefficient of Quartile Variation
(Closest Observation)
0.298935439560440
Coefficient of Quartile Variation
(True Basic - Statistics Graphics Toolkit)
0.300622138748679
Coefficient of Quartile Variation
(MS Excel (old versions))
0.311350986675662
Number of all Pairs of Observations
3486
Squared Differences between all Pairs of Observations
39388891.7048193
Mean Absolute Differences between all Pairs of Observations
5110.62220309811
Gini Mean Difference
5110.62220309811
Leik Measure of Dispersion
0.465601258750329
Index of Diversity
0.986430104874736
Index of Qualitative Variation
0.998314804933468
Coefficient of Dispersion
0.308611084216811
Observations
84