Variability - Ungrouped Data
Absolute range
27.047
Relative range (unbiased)
3.45912757972913
Relative range (biased)
3.48340245705436
Variance (unbiased)
61.1371292376761
Variance (biased)
60.2880024427083
Standard Deviation (unbiased)
7.81902354758419
Standard Deviation (biased)
7.76453491477167
Coefficient of Variation (unbiased)
0.336512559184903
Coefficient of Variation (biased)
0.334167495359141
Mean Squared Error (MSE versus 0)
600.174526402778
Mean Squared Error (MSE versus Mean)
60.2880024427083
Mean Absolute Deviation from Mean (MAD Mean)
6.61215625
Mean Absolute Deviation from Median (MAD Median)
6.27184722222222
Median Absolute Deviation from Mean
7.0325
Median Absolute Deviation from Median
4.6825
Mean Squared Deviation from Mean
60.2880024427083
Mean Squared Deviation from Median
67.8310358194445
Interquartile Difference
(Weighted Average at Xnp)
14.065
Interquartile Difference
(Weighted Average at X(n+1)p)
14.365
Interquartile Difference
(Empirical Distribution Function)
14.065
Interquartile Difference
(Empirical Distribution Function - Averaging)
14.206
Interquartile Difference
(Empirical Distribution Function - Interpolation)
14.047
Interquartile Difference
(Closest Observation)
14.065
Interquartile Difference
(True Basic - Statistics Graphics Toolkit)
14.047
Interquartile Difference
(MS Excel (old versions))
14.524
Semi Interquartile Difference
(Weighted Average at Xnp)
7.0325
Semi Interquartile Difference
(Weighted Average at X(n+1)p)
7.1825
Semi Interquartile Difference
(Empirical Distribution Function)
7.0325
Semi Interquartile Difference
(Empirical Distribution Function - Averaging)
7.103
Semi Interquartile Difference
(Empirical Distribution Function - Interpolation)
7.0235
Semi Interquartile Difference
(Closest Observation)
7.0325
Semi Interquartile Difference
(True Basic - Statistics Graphics Toolkit)
7.0235
Semi Interquartile Difference
(MS Excel (old versions))
7.262
Coefficient of Quartile Variation
(Weighted Average at Xnp)
0.303079276833236
Coefficient of Quartile Variation
(Weighted Average at X(n+1)p)
0.30697396117148
Coefficient of Quartile Variation
(Empirical Distribution Function)
0.303079276833236
Coefficient of Quartile Variation
(Empirical Distribution Function - Averaging)
0.304034242910647
Coefficient of Quartile Variation
(Empirical Distribution Function - Interpolation)
0.301085640184762
Coefficient of Quartile Variation
(Closest Observation)
0.303079276833236
Coefficient of Quartile Variation
(True Basic - Statistics Graphics Toolkit)
0.301085640184762
Coefficient of Quartile Variation
(MS Excel (old versions))
0.309904835061665
Number of all Pairs of Observations
2556
Squared Differences between all Pairs of Observations
122.274258475352
Mean Absolute Differences between all Pairs of Observations
8.64083215962443
Gini Mean Difference
8.64083215962446
Leik Measure of Dispersion
0.496778712025812
Index of Diversity
0.984560167847853
Index of Qualitative Variation
0.998427212465428
Coefficient of Dispersion
0.32271737273659
Observations
72