Variability - Ungrouped Data
Absolute range
78
Relative range (unbiased)
4.36283339950872
Relative range (biased)
4.38903683870731
Variance (unbiased)
319.633247274814
Variance (biased)
315.828089569161
Standard Deviation (unbiased)
17.8782898308203
Standard Deviation (biased)
17.7715528181744
Coefficient of Variation (unbiased)
0.312544504846807
Coefficient of Variation (biased)
0.310678550827606
Mean Squared Error (MSE versus 0)
3587.94047619048
Mean Squared Error (MSE versus Mean)
315.828089569161
Mean Absolute Deviation from Mean (MAD Mean)
15.6074263038549
Mean Absolute Deviation from Median (MAD Median)
15.25
Median Absolute Deviation from Mean
15.7976190476191
Median Absolute Deviation from Median
14.5
Mean Squared Deviation from Mean
315.828089569161
Mean Squared Deviation from Median
337.940476190476
Interquartile Difference
(Weighted Average at Xnp)
30
Interquartile Difference
(Weighted Average at X(n+1)p)
29.75
Interquartile Difference
(Empirical Distribution Function)
30
Interquartile Difference
(Empirical Distribution Function - Averaging)
29.5
Interquartile Difference
(Empirical Distribution Function - Interpolation)
29.25
Interquartile Difference
(Closest Observation)
30
Interquartile Difference
(True Basic - Statistics Graphics Toolkit)
29.25
Interquartile Difference
(MS Excel (old versions))
30
Semi Interquartile Difference
(Weighted Average at Xnp)
15
Semi Interquartile Difference
(Weighted Average at X(n+1)p)
14.875
Semi Interquartile Difference
(Empirical Distribution Function)
15
Semi Interquartile Difference
(Empirical Distribution Function - Averaging)
14.75
Semi Interquartile Difference
(Empirical Distribution Function - Interpolation)
14.625
Semi Interquartile Difference
(Closest Observation)
15
Semi Interquartile Difference
(True Basic - Statistics Graphics Toolkit)
14.625
Semi Interquartile Difference
(MS Excel (old versions))
15
Coefficient of Quartile Variation
(Weighted Average at Xnp)
0.258620689655172
Coefficient of Quartile Variation
(Weighted Average at X(n+1)p)
0.255913978494624
Coefficient of Quartile Variation
(Empirical Distribution Function)
0.258620689655172
Coefficient of Quartile Variation
(Empirical Distribution Function - Averaging)
0.253218884120172
Coefficient of Quartile Variation
(Empirical Distribution Function - Interpolation)
0.250535331905782
Coefficient of Quartile Variation
(Closest Observation)
0.258620689655172
Coefficient of Quartile Variation
(True Basic - Statistics Graphics Toolkit)
0.250535331905782
Coefficient of Quartile Variation
(MS Excel (old versions))
0.258620689655172
Number of all Pairs of Observations
3486
Squared Differences between all Pairs of Observations
639.266494549627
Mean Absolute Differences between all Pairs of Observations
20.4931153184165
Gini Mean Difference
20.4931153184165
Leik Measure of Dispersion
0.46103581861264
Index of Diversity
0.98694617664352
Index of Qualitative Variation
0.998837094434405
Coefficient of Dispersion
0.297284310549617
Observations
84