Variability - Ungrouped Data
Absolute range23.03
Relative range (unbiased)4.0852541726867
Relative range (biased)4.10979045439226
Variance (unbiased)31.7796940189329
Variance (biased)31.4013643282313
Standard Deviation (unbiased)5.63734813710603
Standard Deviation (biased)5.60369202653316
Coefficient of Variation (unbiased)0.0869410084211225
Coefficient of Variation (biased)0.0864219529855572
Mean Squared Error (MSE versus 0)4235.76590833333
Mean Squared Error (MSE versus Mean)31.4013643282313
Mean Absolute Deviation from Mean (MAD Mean)4.4778656462585
Mean Absolute Deviation from Median (MAD Median)4.46869047619048
Median Absolute Deviation from Mean3.95
Median Absolute Deviation from Median3.93
Mean Squared Deviation from Mean31.4013643282313
Mean Squared Deviation from Median31.4185440476191
Interquartile Difference (Weighted Average at Xnp)7.72000000000001
Interquartile Difference (Weighted Average at X(n+1)p)7.88500000000001
Interquartile Difference (Empirical Distribution Function)7.72000000000001
Interquartile Difference (Empirical Distribution Function - Averaging)7.76000000000001
Interquartile Difference (Empirical Distribution Function - Interpolation)7.635
Interquartile Difference (Closest Observation)7.72000000000001
Interquartile Difference (True Basic - Statistics Graphics Toolkit)7.63499999999999
Interquartile Difference (MS Excel (old versions))8.01
Semi Interquartile Difference (Weighted Average at Xnp)3.86
Semi Interquartile Difference (Weighted Average at X(n+1)p)3.9425
Semi Interquartile Difference (Empirical Distribution Function)3.86
Semi Interquartile Difference (Empirical Distribution Function - Averaging)3.88
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)3.8175
Semi Interquartile Difference (Closest Observation)3.86
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)3.8175
Semi Interquartile Difference (MS Excel (old versions))4.005
Coefficient of Quartile Variation (Weighted Average at Xnp)0.060096528102133
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.061252233356638
Coefficient of Quartile Variation (Empirical Distribution Function)0.060096528102133
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.0602905757128429
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.0593286191623281
Coefficient of Quartile Variation (Closest Observation)0.060096528102133
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.059328619162328
Coefficient of Quartile Variation (MS Excel (old versions))0.0622135922330097
Number of all Pairs of Observations3486
Squared Differences between all Pairs of Observations63.5593880378655
Mean Absolute Differences between all Pairs of Observations6.40058806655194
Gini Mean Difference6.40058806655195
Leik Measure of Dispersion0.506812466466898
Index of Diversity0.988006324357645
Index of Qualitative Variation0.999910015012556
Coefficient of Dispersion0.0691989745983388
Observations84