Variability - Ungrouped Data
Absolute range
17696
Relative range (unbiased)
3.62369618698523
Relative range (biased)
3.64912594589856
Variance (unbiased)
23847708.8701095
Variance (biased)
23516490.6913580
Standard Deviation (unbiased)
4883.41160154554
Standard Deviation (biased)
4849.38044407304
Coefficient of Variation (unbiased)
0.579843720622842
Coefficient of Variation (biased)
0.575802948601964
Mean Squared Error (MSE versus 0)
94445638.9166667
Mean Squared Error (MSE versus Mean)
23516490.691358
Mean Absolute Deviation from Mean (MAD Mean)
4282.52006172840
Mean Absolute Deviation from Median (MAD Median)
4060.66666666667
Median Absolute Deviation from Mean
3978.94444444445
Median Absolute Deviation from Median
2749
Mean Squared Deviation from Mean
23516490.691358
Mean Squared Deviation from Median
29329143.8055556
Interquartile Difference
(Weighted Average at Xnp)
7970
Interquartile Difference
(Weighted Average at X(n+1)p)
7995.75
Interquartile Difference
(Empirical Distribution Function)
7970
Interquartile Difference
(Empirical Distribution Function - Averaging)
7949.5
Interquartile Difference
(Empirical Distribution Function - Interpolation)
7903.25
Interquartile Difference
(Closest Observation)
7970
Interquartile Difference
(True Basic - Statistics Graphics Toolkit)
7903.25
Interquartile Difference
(MS Excel (old versions))
8042
Semi Interquartile Difference
(Weighted Average at Xnp)
3985
Semi Interquartile Difference
(Weighted Average at X(n+1)p)
3997.875
Semi Interquartile Difference
(Empirical Distribution Function)
3985
Semi Interquartile Difference
(Empirical Distribution Function - Averaging)
3974.75
Semi Interquartile Difference
(Empirical Distribution Function - Interpolation)
3951.625
Semi Interquartile Difference
(Closest Observation)
3985
Semi Interquartile Difference
(True Basic - Statistics Graphics Toolkit)
3951.625
Semi Interquartile Difference
(MS Excel (old versions))
4021
Coefficient of Quartile Variation
(Weighted Average at Xnp)
0.468547912992357
Coefficient of Quartile Variation
(Weighted Average at X(n+1)p)
0.467799733797481
Coefficient of Quartile Variation
(Empirical Distribution Function)
0.468547912992357
Coefficient of Quartile Variation
(Empirical Distribution Function - Averaging)
0.464815085513814
Coefficient of Quartile Variation
(Empirical Distribution Function - Interpolation)
0.461834012651386
Coefficient of Quartile Variation
(Closest Observation)
0.468547912992357
Coefficient of Quartile Variation
(True Basic - Statistics Graphics Toolkit)
0.461834012651386
Coefficient of Quartile Variation
(MS Excel (old versions))
0.470787963938649
Number of all Pairs of Observations
2556
Squared Differences between all Pairs of Observations
47695417.7402191
Mean Absolute Differences between all Pairs of Observations
5452.1220657277
Gini Mean Difference
5452.1220657277
Leik Measure of Dispersion
0.507095536708493
Index of Diversity
0.981506263394184
Index of Qualitative Variation
0.995330295272976
Coefficient of Dispersion
0.712447190438928
Observations
72