Variability - Ungrouped Data
Absolute range
153
Relative range (unbiased)
4.53484836463089
Relative range (biased)
4.53961937948501
Variance (unbiased)
1138.30153648828
Variance (biased)
1135.91014670574
Standard Deviation (unbiased)
33.7387245830111
Standard Deviation (biased)
33.7032661133271
Coefficient of Variation (unbiased)
0.247359734914151
Coefficient of Variation (biased)
0.247099766650089
Mean Squared Error (MSE versus 0)
19739.6093277311
Mean Squared Error (MSE versus Mean)
1135.91014670574
Mean Absolute Deviation from Mean (MAD Mean)
27.5238595438175
Mean Absolute Deviation from Median (MAD Median)
27.4268907563025
Median Absolute Deviation from Mean
22.9546218487395
Median Absolute Deviation from Median
22.9
Mean Squared Deviation from Mean
1135.91014670574
Mean Squared Deviation from Median
1143.49808823529
Interquartile Difference
(Weighted Average at Xnp)
46.1
Interquartile Difference
(Weighted Average at X(n+1)p)
46.375
Interquartile Difference
(Empirical Distribution Function)
46.1
Interquartile Difference
(Empirical Distribution Function - Averaging)
46.15
Interquartile Difference
(Empirical Distribution Function - Interpolation)
45.925
Interquartile Difference
(Closest Observation)
46.1
Interquartile Difference
(True Basic - Statistics Graphics Toolkit)
45.925
Interquartile Difference
(MS Excel (old versions))
46.6
Semi Interquartile Difference
(Weighted Average at Xnp)
23.05
Semi Interquartile Difference
(Weighted Average at X(n+1)p)
23.1875
Semi Interquartile Difference
(Empirical Distribution Function)
23.05
Semi Interquartile Difference
(Empirical Distribution Function - Averaging)
23.075
Semi Interquartile Difference
(Empirical Distribution Function - Interpolation)
22.9625
Semi Interquartile Difference
(Closest Observation)
23.05
Semi Interquartile Difference
(True Basic - Statistics Graphics Toolkit)
22.9625
Semi Interquartile Difference
(MS Excel (old versions))
23.3
Coefficient of Quartile Variation
(Weighted Average at Xnp)
0.16992259491338
Coefficient of Quartile Variation
(Weighted Average at X(n+1)p)
0.170637475853187
Coefficient of Quartile Variation
(Empirical Distribution Function)
0.16992259491338
Coefficient of Quartile Variation
(Empirical Distribution Function - Averaging)
0.16982520699172
Coefficient of Quartile Variation
(Empirical Distribution Function - Interpolation)
0.169012788665011
Coefficient of Quartile Variation
(Closest Observation)
0.16992259491338
Coefficient of Quartile Variation
(True Basic - Statistics Graphics Toolkit)
0.169012788665011
Coefficient of Quartile Variation
(MS Excel (old versions))
0.171449595290655
Number of all Pairs of Observations
113050
Squared Differences between all Pairs of Observations
2276.60307297661
Mean Absolute Differences between all Pairs of Observations
38.5194161875275
Gini Mean Difference
38.5194161875272
Leik Measure of Dispersion
0.460027753822717
Index of Diversity
0.99777088593555
Index of Qualitative Variation
0.99987145622173
Coefficient of Dispersion
0.197799924856755
Observations
476