Variability - Ungrouped Data
Absolute range55
Relative range (unbiased)4.15562745140194
Relative range (biased)4.19069665922902
Variance (unbiased)175.166949152542
Variance (biased)172.2475
Standard Deviation (unbiased)13.2350651359388
Standard Deviation (biased)13.1243095056464
Coefficient of Variation (unbiased)0.53910652284883
Coefficient of Variation (biased)0.53459509187969
Mean Squared Error (MSE versus 0)774.95
Mean Squared Error (MSE versus Mean)172.2475
Mean Absolute Deviation from Mean (MAD Mean)10.415
Mean Absolute Deviation from Median (MAD Median)9.85
Median Absolute Deviation from Mean9.55
Median Absolute Deviation from Median7
Mean Squared Deviation from Mean172.2475
Mean Squared Deviation from Median184.85
Interquartile Difference (Weighted Average at Xnp)15
Interquartile Difference (Weighted Average at X(n+1)p)15.75
Interquartile Difference (Empirical Distribution Function)15
Interquartile Difference (Empirical Distribution Function - Averaging)15.5
Interquartile Difference (Empirical Distribution Function - Interpolation)15.25
Interquartile Difference (Closest Observation)15
Interquartile Difference (True Basic - Statistics Graphics Toolkit)15.25
Interquartile Difference (MS Excel (old versions))16
Semi Interquartile Difference (Weighted Average at Xnp)7.5
Semi Interquartile Difference (Weighted Average at X(n+1)p)7.875
Semi Interquartile Difference (Empirical Distribution Function)7.5
Semi Interquartile Difference (Empirical Distribution Function - Averaging)7.75
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)7.625
Semi Interquartile Difference (Closest Observation)7.5
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)7.625
Semi Interquartile Difference (MS Excel (old versions))8
Coefficient of Quartile Variation (Weighted Average at Xnp)0.348837209302326
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.36
Coefficient of Quartile Variation (Empirical Distribution Function)0.348837209302326
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.35632183908046
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.352601156069364
Coefficient of Quartile Variation (Closest Observation)0.348837209302326
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.352601156069364
Coefficient of Quartile Variation (MS Excel (old versions))0.363636363636364
Number of all Pairs of Observations1770
Squared Differences between all Pairs of Observations350.333898305085
Mean Absolute Differences between all Pairs of Observations14.5519774011299
Gini Mean Difference14.5519774011299
Leik Measure of Dispersion0.507231868549139
Index of Diversity0.978570134795636
Index of Qualitative Variation0.995156069283697
Coefficient of Dispersion0.495952380952381
Observations60