Variability - Ungrouped Data
Absolute range
70.327
Relative range (unbiased)
3.85317019361422
Relative range (biased)
3.88514725803793
Variance (unbiased)
333.125439403825
Variance (biased)
327.664366626713
Standard Deviation (unbiased)
18.2517242857716
Standard Deviation (biased)
18.1015017782148
Coefficient of Variation (unbiased)
0.0683894563115473
Coefficient of Variation (biased)
0.0678265705558395
Mean Squared Error (MSE versus 0)
71552.178759377
Mean Squared Error (MSE versus Mean)
327.664366626713
Mean Absolute Deviation from Mean (MAD Mean)
15.2015915076592
Mean Absolute Deviation from Median (MAD Median)
15.0079016393443
Median Absolute Deviation from Mean
13.5287868852459
Median Absolute Deviation from Median
14.628
Mean Squared Deviation from Mean
327.664366626713
Mean Squared Deviation from Median
336.347919573771
Interquartile Difference
(Weighted Average at Xnp)
30.7025
Interquartile Difference
(Weighted Average at X(n+1)p)
30.707
Interquartile Difference
(Empirical Distribution Function)
29.547
Interquartile Difference
(Empirical Distribution Function - Averaging)
29.547
Interquartile Difference
(Empirical Distribution Function - Interpolation)
29.547
Interquartile Difference
(Closest Observation)
31.649
Interquartile Difference
(True Basic - Statistics Graphics Toolkit)
30.707
Interquartile Difference
(MS Excel (old versions))
30.707
Semi Interquartile Difference
(Weighted Average at Xnp)
15.35125
Semi Interquartile Difference
(Weighted Average at X(n+1)p)
15.3535
Semi Interquartile Difference
(Empirical Distribution Function)
14.7735
Semi Interquartile Difference
(Empirical Distribution Function - Averaging)
14.7735
Semi Interquartile Difference
(Empirical Distribution Function - Interpolation)
14.7735
Semi Interquartile Difference
(Closest Observation)
15.8245
Semi Interquartile Difference
(True Basic - Statistics Graphics Toolkit)
15.3535
Semi Interquartile Difference
(MS Excel (old versions))
15.3535
Coefficient of Quartile Variation
(Weighted Average at Xnp)
0.0580568059443815
Coefficient of Quartile Variation
(Weighted Average at X(n+1)p)
0.0579496537967242
Coefficient of Quartile Variation
(Empirical Distribution Function)
0.0556615734138609
Coefficient of Quartile Variation
(Empirical Distribution Function - Averaging)
0.0556615734138609
Coefficient of Quartile Variation
(Empirical Distribution Function - Interpolation)
0.0556615734138609
Coefficient of Quartile Variation
(Closest Observation)
0.0598584157161203
Coefficient of Quartile Variation
(True Basic - Statistics Graphics Toolkit)
0.0579496537967242
Coefficient of Quartile Variation
(MS Excel (old versions))
0.0579496537967242
Number of all Pairs of Observations
1830
Squared Differences between all Pairs of Observations
666.25087880765
Mean Absolute Differences between all Pairs of Observations
20.9608907103825
Gini Mean Difference
20.9608907103825
Leik Measure of Dispersion
0.517586462232889
Index of Diversity
0.98353114026765
Index of Qualitative Variation
0.999923325938777
Coefficient of Dispersion
0.0563384978010245
Observations
61