Variability - Ungrouped Data
Absolute range
80
Relative range (unbiased)
3.72726884380339
Relative range (biased)
3.7446454827279
Variance (unbiased)
460.679127725857
Variance (biased)
456.413580246914
Standard Deviation (unbiased)
21.4634369970389
Standard Deviation (biased)
21.3638381440909
Coefficient of Variation (unbiased)
0.760515484147046
Coefficient of Variation (biased)
0.756986390932355
Mean Squared Error (MSE versus 0)
1252.90740740741
Mean Squared Error (MSE versus Mean)
456.413580246914
Mean Absolute Deviation from Mean (MAD Mean)
17.8765432098765
Mean Absolute Deviation from Median (MAD Median)
17.7037037037037
Median Absolute Deviation from Mean
17.2222222222222
Median Absolute Deviation from Median
18.5
Mean Squared Deviation from Mean
456.413580246914
Mean Squared Deviation from Median
461.351851851852
Interquartile Difference
(Weighted Average at Xnp)
34
Interquartile Difference
(Weighted Average at X(n+1)p)
35.5
Interquartile Difference
(Empirical Distribution Function)
34
Interquartile Difference
(Empirical Distribution Function - Averaging)
35
Interquartile Difference
(Empirical Distribution Function - Interpolation)
34.5
Interquartile Difference
(Closest Observation)
34
Interquartile Difference
(True Basic - Statistics Graphics Toolkit)
34.5
Interquartile Difference
(MS Excel (old versions))
36
Semi Interquartile Difference
(Weighted Average at Xnp)
17
Semi Interquartile Difference
(Weighted Average at X(n+1)p)
17.75
Semi Interquartile Difference
(Empirical Distribution Function)
17
Semi Interquartile Difference
(Empirical Distribution Function - Averaging)
17.5
Semi Interquartile Difference
(Empirical Distribution Function - Interpolation)
17.25
Semi Interquartile Difference
(Closest Observation)
17
Semi Interquartile Difference
(True Basic - Statistics Graphics Toolkit)
17.25
Semi Interquartile Difference
(MS Excel (old versions))
18
Coefficient of Quartile Variation
(Weighted Average at Xnp)
0.607142857142857
Coefficient of Quartile Variation
(Weighted Average at X(n+1)p)
0.617391304347826
Coefficient of Quartile Variation
(Empirical Distribution Function)
0.607142857142857
Coefficient of Quartile Variation
(Empirical Distribution Function - Averaging)
0.614035087719298
Coefficient of Quartile Variation
(Empirical Distribution Function - Interpolation)
0.610619469026549
Coefficient of Quartile Variation
(Closest Observation)
0.607142857142857
Coefficient of Quartile Variation
(True Basic - Statistics Graphics Toolkit)
0.610619469026549
Coefficient of Quartile Variation
(MS Excel (old versions))
0.620689655172414
Number of all Pairs of Observations
5778
Squared Differences between all Pairs of Observations
921.358255451713
Mean Absolute Differences between all Pairs of Observations
24.7192800276912
Gini Mean Difference
24.7192800276912
Leik Measure of Dispersion
0.460360095175019
Index of Diversity
0.985434922258733
Index of Qualitative Variation
0.994644594429376
Coefficient of Dispersion
0.687559354226021
Observations
108