Variability - Ungrouped Data
Absolute range
63884
Relative range (unbiased)
4.88812155403834
Relative range (biased)
4.91747990541408
Variance (unbiased)
170804853.764056
Variance (biased)
168771462.647817
Standard Deviation (unbiased)
13069.233097778
Standard Deviation (biased)
12991.2071282009
Coefficient of Variation (unbiased)
0.331968319281786
Coefficient of Variation (biased)
0.32998640115491
Mean Squared Error (MSE versus 0)
1718683062.15476
Mean Squared Error (MSE versus Mean)
168771462.647817
Mean Absolute Deviation from Mean (MAD Mean)
8558.32142857143
Mean Absolute Deviation from Median (MAD Median)
8558.32142857143
Median Absolute Deviation from Mean
5044.91666666666
Median Absolute Deviation from Median
5038
Mean Squared Deviation from Mean
168771462.647817
Mean Squared Deviation from Median
168771510.488095
Interquartile Difference
(Weighted Average at Xnp)
10149
Interquartile Difference
(Weighted Average at X(n+1)p)
10266.25
Interquartile Difference
(Empirical Distribution Function)
10149
Interquartile Difference
(Empirical Distribution Function - Averaging)
10150.5
Interquartile Difference
(Empirical Distribution Function - Interpolation)
10034.75
Interquartile Difference
(Closest Observation)
10149
Interquartile Difference
(True Basic - Statistics Graphics Toolkit)
10034.75
Interquartile Difference
(MS Excel (old versions))
10382
Semi Interquartile Difference
(Weighted Average at Xnp)
5074.5
Semi Interquartile Difference
(Weighted Average at X(n+1)p)
5133.125
Semi Interquartile Difference
(Empirical Distribution Function)
5074.5
Semi Interquartile Difference
(Empirical Distribution Function - Averaging)
5075.25
Semi Interquartile Difference
(Empirical Distribution Function - Interpolation)
5017.375
Semi Interquartile Difference
(Closest Observation)
5074.5
Semi Interquartile Difference
(True Basic - Statistics Graphics Toolkit)
5017.375
Semi Interquartile Difference
(MS Excel (old versions))
5191
Coefficient of Quartile Variation
(Weighted Average at Xnp)
0.127996872280587
Coefficient of Quartile Variation
(Weighted Average at X(n+1)p)
0.129097465206716
Coefficient of Quartile Variation
(Empirical Distribution Function)
0.127996872280587
Coefficient of Quartile Variation
(Empirical Distribution Function - Averaging)
0.127643119871734
Coefficient of Quartile Variation
(Empirical Distribution Function - Interpolation)
0.126188747103780
Coefficient of Quartile Variation
(Closest Observation)
0.127996872280587
Coefficient of Quartile Variation
(True Basic - Statistics Graphics Toolkit)
0.126188747103780
Coefficient of Quartile Variation
(MS Excel (old versions))
0.130551783109502
Number of all Pairs of Observations
3486
Squared Differences between all Pairs of Observations
341609707.528112
Mean Absolute Differences between all Pairs of Observations
13537.2837062536
Gini Mean Difference
13537.2837062536
Leik Measure of Dispersion
0.496472226781246
Index of Diversity
0.986798916369677
Index of Qualitative Variation
0.998688059940396
Coefficient of Dispersion
0.21742598009683
Observations
84