Variability - Ungrouped Data
Absolute range
20.84
Relative range (unbiased)
4.07258643212725
Relative range (biased)
4.10116633667186
Variance (unbiased)
26.1851345070423
Variance (biased)
25.8214520833333
Standard Deviation (unbiased)
5.1171412436088
Standard Deviation (biased)
5.08148128829905
Coefficient of Variation (unbiased)
0.0774395547301919
Coefficient of Variation (biased)
0.0768998996905083
Mean Squared Error (MSE versus 0)
4392.27771944444
Mean Squared Error (MSE versus Mean)
25.8214520833333
Mean Absolute Deviation from Mean (MAD Mean)
4.09678240740741
Mean Absolute Deviation from Median (MAD Median)
3.98361111111111
Median Absolute Deviation from Mean
3.95416666666667
Median Absolute Deviation from Median
3.55
Mean Squared Deviation from Mean
25.8214520833333
Mean Squared Deviation from Median
27.0406361111111
Interquartile Difference
(Weighted Average at Xnp)
8.06
Interquartile Difference
(Weighted Average at X(n+1)p)
7.9875
Interquartile Difference
(Empirical Distribution Function)
8.06
Interquartile Difference
(Empirical Distribution Function - Averaging)
7.91500000000001
Interquartile Difference
(Empirical Distribution Function - Interpolation)
7.8425
Interquartile Difference
(Closest Observation)
8.06
Interquartile Difference
(True Basic - Statistics Graphics Toolkit)
7.8425
Interquartile Difference
(MS Excel (old versions))
8.06
Semi Interquartile Difference
(Weighted Average at Xnp)
4.03
Semi Interquartile Difference
(Weighted Average at X(n+1)p)
3.99375
Semi Interquartile Difference
(Empirical Distribution Function)
4.03
Semi Interquartile Difference
(Empirical Distribution Function - Averaging)
3.9575
Semi Interquartile Difference
(Empirical Distribution Function - Interpolation)
3.92125
Semi Interquartile Difference
(Closest Observation)
4.03
Semi Interquartile Difference
(True Basic - Statistics Graphics Toolkit)
3.92125
Semi Interquartile Difference
(MS Excel (old versions))
4.03
Coefficient of Quartile Variation
(Weighted Average at Xnp)
0.0612089914945322
Coefficient of Quartile Variation
(Weighted Average at X(n+1)p)
0.0606250355780726
Coefficient of Quartile Variation
(Empirical Distribution Function)
0.0612089914945322
Coefficient of Quartile Variation
(Empirical Distribution Function - Averaging)
0.0600417219798976
Coefficient of Quartile Variation
(Empirical Distribution Function - Interpolation)
0.0594590496408196
Coefficient of Quartile Variation
(Closest Observation)
0.0612089914945322
Coefficient of Quartile Variation
(True Basic - Statistics Graphics Toolkit)
0.0594590496408196
Coefficient of Quartile Variation
(MS Excel (old versions))
0.0612089914945322
Number of all Pairs of Observations
2556
Squared Differences between all Pairs of Observations
52.3702690140845
Mean Absolute Differences between all Pairs of Observations
5.77809076682318
Gini Mean Difference
5.7780907668232
Leik Measure of Dispersion
0.508901300693583
Index of Diversity
0.986028977853161
Index of Qualitative Variation
0.9999167099356
Coefficient of Dispersion
0.0630516722956123
Observations
72