Variability - Ungrouped Data
Absolute range
5.36
Relative range (unbiased)
3.61108935180355
Relative range (biased)
3.62271929930971
Variance (unbiased)
2.20319587675765
Variance (biased)
2.18907282626561
Standard Deviation (unbiased)
1.48431663628676
Standard Deviation (biased)
1.47955156255726
Coefficient of Variation (unbiased)
0.35610998456044
Coefficient of Variation (biased)
0.354966771386943
Mean Squared Error (MSE versus 0)
19.5624724358974
Mean Squared Error (MSE versus Mean)
2.18907282626561
Mean Absolute Deviation from Mean (MAD Mean)
1.27722550953320
Mean Absolute Deviation from Median (MAD Median)
1.24980769230769
Median Absolute Deviation from Mean
1.19
Median Absolute Deviation from Median
1.02
Mean Squared Deviation from Mean
2.18907282626561
Mean Squared Deviation from Median
2.32001474358974
Interquartile Difference
(Weighted Average at Xnp)
2.55
Interquartile Difference
(Weighted Average at X(n+1)p)
2.5575
Interquartile Difference
(Empirical Distribution Function)
2.55
Interquartile Difference
(Empirical Distribution Function - Averaging)
2.555
Interquartile Difference
(Empirical Distribution Function - Interpolation)
2.5525
Interquartile Difference
(Closest Observation)
2.55
Interquartile Difference
(True Basic - Statistics Graphics Toolkit)
2.5525
Interquartile Difference
(MS Excel (old versions))
2.56
Semi Interquartile Difference
(Weighted Average at Xnp)
1.275
Semi Interquartile Difference
(Weighted Average at X(n+1)p)
1.27875
Semi Interquartile Difference
(Empirical Distribution Function)
1.275
Semi Interquartile Difference
(Empirical Distribution Function - Averaging)
1.2775
Semi Interquartile Difference
(Empirical Distribution Function - Interpolation)
1.27625
Semi Interquartile Difference
(Closest Observation)
1.275
Semi Interquartile Difference
(True Basic - Statistics Graphics Toolkit)
1.27625
Semi Interquartile Difference
(MS Excel (old versions))
1.28
Coefficient of Quartile Variation
(Weighted Average at Xnp)
0.32156368221942
Coefficient of Quartile Variation
(Weighted Average at X(n+1)p)
0.322204724409449
Coefficient of Quartile Variation
(Empirical Distribution Function)
0.32156368221942
Coefficient of Quartile Variation
(Empirical Distribution Function - Averaging)
0.321991178323882
Coefficient of Quartile Variation
(Empirical Distribution Function - Interpolation)
0.321777497636306
Coefficient of Quartile Variation
(Closest Observation)
0.32156368221942
Coefficient of Quartile Variation
(True Basic - Statistics Graphics Toolkit)
0.321777497636306
Coefficient of Quartile Variation
(MS Excel (old versions))
0.322418136020151
Number of all Pairs of Observations
12090
Squared Differences between all Pairs of Observations
4.40639175351529
Mean Absolute Differences between all Pairs of Observations
1.69286765922249
Gini Mean Difference
1.69286765922248
Leik Measure of Dispersion
0.481771958607203
Index of Diversity
0.992782042251353
Index of Qualitative Variation
0.999187087685233
Coefficient of Dispersion
0.281948236100045
Observations
156