Variability - Ungrouped Data
Absolute range
90
Relative range (unbiased)
3.70291465222557
Relative range (biased)
3.72515457982815
Variance (unbiased)
590.741681009753
Variance (biased)
583.709041950113
Standard Deviation (unbiased)
24.3051780699042
Standard Deviation (biased)
24.1600712323063
Coefficient of Variation (unbiased)
0.173978266542135
Coefficient of Variation (biased)
0.172939581040795
Mean Squared Error (MSE versus 0)
20100.4642857143
Mean Squared Error (MSE versus Mean)
583.709041950113
Mean Absolute Deviation from Mean (MAD Mean)
22.0357142857143
Mean Absolute Deviation from Median (MAD Median)
22.0357142857143
Median Absolute Deviation from Mean
22.5
Median Absolute Deviation from Median
22.5
Mean Squared Deviation from Mean
583.709041950113
Mean Squared Deviation from Median
583.797619047619
Interquartile Difference
(Weighted Average at Xnp)
43
Interquartile Difference
(Weighted Average at X(n+1)p)
42.75
Interquartile Difference
(Empirical Distribution Function)
43
Interquartile Difference
(Empirical Distribution Function - Averaging)
42.5
Interquartile Difference
(Empirical Distribution Function - Interpolation)
42.25
Interquartile Difference
(Closest Observation)
43
Interquartile Difference
(True Basic - Statistics Graphics Toolkit)
42.25
Interquartile Difference
(MS Excel (old versions))
43
Semi Interquartile Difference
(Weighted Average at Xnp)
21.5
Semi Interquartile Difference
(Weighted Average at X(n+1)p)
21.375
Semi Interquartile Difference
(Empirical Distribution Function)
21.5
Semi Interquartile Difference
(Empirical Distribution Function - Averaging)
21.25
Semi Interquartile Difference
(Empirical Distribution Function - Interpolation)
21.125
Semi Interquartile Difference
(Closest Observation)
21.5
Semi Interquartile Difference
(True Basic - Statistics Graphics Toolkit)
21.125
Semi Interquartile Difference
(MS Excel (old versions))
21.5
Coefficient of Quartile Variation
(Weighted Average at Xnp)
0.151943462897526
Coefficient of Quartile Variation
(Weighted Average at X(n+1)p)
0.150926743159753
Coefficient of Quartile Variation
(Empirical Distribution Function)
0.151943462897526
Coefficient of Quartile Variation
(Empirical Distribution Function - Averaging)
0.149911816578483
Coefficient of Quartile Variation
(Empirical Distribution Function - Interpolation)
0.148898678414097
Coefficient of Quartile Variation
(Closest Observation)
0.151943462897526
Coefficient of Quartile Variation
(True Basic - Statistics Graphics Toolkit)
0.148898678414097
Coefficient of Quartile Variation
(MS Excel (old versions))
0.151943462897526
Number of all Pairs of Observations
3486
Squared Differences between all Pairs of Observations
1181.48336201951
Mean Absolute Differences between all Pairs of Observations
27.8694779116466
Gini Mean Difference
27.8694779116466
Leik Measure of Dispersion
0.498794154034116
Index of Diversity
0.987739189301303
Index of Qualitative Variation
0.99963966146156
Coefficient of Dispersion
0.157397959183673
Observations
84