Variability - Ungrouped Data
Absolute range
142
Relative range (unbiased)
3.38113768234959
Relative range (biased)
3.40144499816218
Variance (unbiased)
1763.80665519220
Variance (biased)
1742.8089569161
Standard Deviation (unbiased)
41.9976982130235
Standard Deviation (biased)
41.7469634454543
Coefficient of Variation (unbiased)
0.217631502152620
Coefficient of Variation (biased)
0.216332197990016
Mean Squared Error (MSE versus 0)
38982.6190476190
Mean Squared Error (MSE versus Mean)
1742.8089569161
Mean Absolute Deviation from Mean (MAD Mean)
36.9563492063492
Mean Absolute Deviation from Median (MAD Median)
36.3571428571429
Median Absolute Deviation from Mean
38.0238095238095
Median Absolute Deviation from Median
31.5
Mean Squared Deviation from Mean
1742.8089569161
Mean Squared Deviation from Median
1899.65476190476
Interquartile Difference
(Weighted Average at Xnp)
74
Interquartile Difference
(Weighted Average at X(n+1)p)
74.75
Interquartile Difference
(Empirical Distribution Function)
74
Interquartile Difference
(Empirical Distribution Function - Averaging)
74.5
Interquartile Difference
(Empirical Distribution Function - Interpolation)
74.25
Interquartile Difference
(Closest Observation)
74
Interquartile Difference
(True Basic - Statistics Graphics Toolkit)
74.25
Interquartile Difference
(MS Excel (old versions))
75
Semi Interquartile Difference
(Weighted Average at Xnp)
37
Semi Interquartile Difference
(Weighted Average at X(n+1)p)
37.375
Semi Interquartile Difference
(Empirical Distribution Function)
37
Semi Interquartile Difference
(Empirical Distribution Function - Averaging)
37.25
Semi Interquartile Difference
(Empirical Distribution Function - Interpolation)
37.125
Semi Interquartile Difference
(Closest Observation)
37
Semi Interquartile Difference
(True Basic - Statistics Graphics Toolkit)
37.125
Semi Interquartile Difference
(MS Excel (old versions))
37.5
Coefficient of Quartile Variation
(Weighted Average at Xnp)
0.190721649484536
Coefficient of Quartile Variation
(Weighted Average at X(n+1)p)
0.192282958199357
Coefficient of Quartile Variation
(Empirical Distribution Function)
0.190721649484536
Coefficient of Quartile Variation
(Empirical Distribution Function - Averaging)
0.191763191763192
Coefficient of Quartile Variation
(Empirical Distribution Function - Interpolation)
0.191242755956214
Coefficient of Quartile Variation
(Closest Observation)
0.190721649484536
Coefficient of Quartile Variation
(True Basic - Statistics Graphics Toolkit)
0.191242755956214
Coefficient of Quartile Variation
(MS Excel (old versions))
0.19280205655527
Number of all Pairs of Observations
3486
Squared Differences between all Pairs of Observations
3527.61331038439
Mean Absolute Differences between all Pairs of Observations
47.6328169822146
Gini Mean Difference
47.6328169822146
Leik Measure of Dispersion
0.478245616643006
Index of Diversity
0.987538099763248
Index of Qualitative Variation
0.999436149157986
Coefficient of Dispersion
0.179836249179315
Observations
84