Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean549.540225.314046705563121.7089036135511
Geometric Mean518.574081151879
Harmonic Mean485.176252361419
Quadratic Mean577.402527259796
Winsorized Mean ( 1 / 16 )549.83825.162566348138921.8514277277075
Winsorized Mean ( 2 / 16 )549.913625.079703970456221.9266383944482
Winsorized Mean ( 3 / 16 )551.023624.769051920524422.24645504269
Winsorized Mean ( 4 / 16 )547.151623.391867544363823.3906762237902
Winsorized Mean ( 5 / 16 )548.924621.971732155082724.9832191711393
Winsorized Mean ( 6 / 16 )547.068221.268237887324825.7223096195495
Winsorized Mean ( 7 / 16 )545.687820.448345692859726.6861587825438
Winsorized Mean ( 8 / 16 )548.871819.534500234284628.0975603889106
Winsorized Mean ( 9 / 16 )545.190818.040908022398830.2196984388544
Winsorized Mean ( 10 / 16 )547.366815.884491020322134.4591966654592
Winsorized Mean ( 11 / 16 )534.802613.015065477063341.0910418347486
Winsorized Mean ( 12 / 16 )542.13710.721864383452350.5636874904623
Winsorized Mean ( 13 / 16 )542.194210.047921836471353.9608297938762
Winsorized Mean ( 14 / 16 )546.67428.4367339366339564.796899381434
Winsorized Mean ( 15 / 16 )546.68928.0548231657707367.8710368618862
Winsorized Mean ( 16 / 16 )547.66527.7947363780480370.2609008743856
Trimmed Mean ( 1 / 16 )549.25604166666724.428505460934922.4842261654121
Trimmed Mean ( 2 / 16 )548.6234782608723.480694222710423.3648746948139
Trimmed Mean ( 3 / 16 )547.89045454545522.305538753549624.5629778594012
Trimmed Mean ( 4 / 16 )546.64714285714320.923256909668326.1262931109232
Trimmed Mean ( 5 / 16 )546.489519.728536201011427.7004585860752
Trimmed Mean ( 6 / 16 )545.84868421052618.706099005294629.1802520694470
Trimmed Mean ( 7 / 16 )545.56638888888917.576645458670631.0392782383717
Trimmed Mean ( 8 / 16 )545.54088235294116.311475474373733.4452197908164
Trimmed Mean ( 9 / 16 )544.890312514.854560377505236.6816855330938
Trimmed Mean ( 10 / 16 )544.83466666666713.330983819428740.8698018125729
Trimmed Mean ( 11 / 16 )544.382511.964338397380745.5004265107698
Trimmed Mean ( 12 / 16 )546.05730769230811.082739255363149.2709694878061
Trimmed Mean ( 13 / 16 )546.73791666666710.678514728371451.1998092032457
Trimmed Mean ( 14 / 16 )547.53227272727310.263450596768253.3477769064997
Trimmed Mean ( 15 / 16 )547.685510.219071939400053.5944460757127
Trimmed Mean ( 16 / 16 )547.8710.182599633453.8045312321747
Median544.41
Midrange556.36
Midmean - Weighted Average at Xnp542.7236
Midmean - Weighted Average at X(n+1)p546.057307692308
Midmean - Empirical Distribution Function546.057307692308
Midmean - Empirical Distribution Function - Averaging546.057307692308
Midmean - Empirical Distribution Function - Interpolation546.737916666667
Midmean - Closest Observation546.057307692308
Midmean - True Basic - Statistics Graphics Toolkit546.057307692308
Midmean - MS Excel (old versions)546.057307692308
Number of observations50


Variability - Ungrouped Data
Absolute range668.72
Relative range (unbiased)3.7359214211385
Relative range (biased)3.77385052981017
Variance (unbiased)32040.0480305714
Variance (biased)31399.24706996
Standard Deviation (unbiased)178.997340847766
Standard Deviation (biased)177.198326938942
Coefficient of Variation (unbiased)0.325722014236204
Coefficient of Variation (biased)0.322448343067425
Mean Squared Error (MSE versus 0)333393.678486
Mean Squared Error (MSE versus Mean)31399.24706996
Mean Absolute Deviation from Mean (MAD Mean)141.2178
Mean Absolute Deviation from Median (MAD Median)141.2178
Median Absolute Deviation from Mean92.785
Median Absolute Deviation from Median92.785
Mean Squared Deviation from Mean31399.24706996
Mean Squared Deviation from Median31425.566022
Interquartile Difference (Weighted Average at Xnp)199.685
Interquartile Difference (Weighted Average at X(n+1)p)195.745
Interquartile Difference (Empirical Distribution Function)183.02
Interquartile Difference (Empirical Distribution Function - Averaging)183.02
Interquartile Difference (Empirical Distribution Function - Interpolation)179.265
Interquartile Difference (Closest Observation)183.02
Interquartile Difference (True Basic - Statistics Graphics Toolkit)221.195
Interquartile Difference (MS Excel (old versions))183.02
Semi Interquartile Difference (Weighted Average at Xnp)99.8425
Semi Interquartile Difference (Weighted Average at X(n+1)p)97.8725
Semi Interquartile Difference (Empirical Distribution Function)91.51
Semi Interquartile Difference (Empirical Distribution Function - Averaging)91.51
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)89.6325
Semi Interquartile Difference (Closest Observation)91.51
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)110.5975
Semi Interquartile Difference (MS Excel (old versions))91.51
Coefficient of Quartile Variation (Weighted Average at Xnp)0.189866075885577
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.183257812646282
Coefficient of Quartile Variation (Empirical Distribution Function)0.170127721281303
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.170127721281303
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.166628711651880
Coefficient of Quartile Variation (Closest Observation)0.170127721281303
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.210089660543662
Coefficient of Quartile Variation (MS Excel (old versions))0.170127721281303
Number of all Pairs of Observations1225
Squared Differences between all Pairs of Observations64080.096061143
Mean Absolute Differences between all Pairs of Observations204.725804081633
Gini Mean Difference204.725804081632
Leik Measure of Dispersion0.480218531337839
Index of Diversity0.977920541321061
Index of Qualitative Variation0.997878103388838
Coefficient of Dispersion0.259396043423155
Observations50


Percentiles - Ungrouped Data
pWeighted Average at XnpWeighted Average at X(n+1)pEmpirical Distribution FunctionEmpirical Distribution Function - AveragingEmpirical Distribution Function - InterpolationClosest ObservationTrue Basic - Statistics Graphics ToolkitMS Excel (old versions)
0.05246.5246.75249249258249246.25249
0.1279283279299315279315279
0.15328.68329.976333333341.295333327.384333
0.2366.45372.96366.45382.725392.49366.45392.49366.45
0.25426.015436.1975446.38446.38448.285446.38415.8325446.38
0.3479480.194479480.99481.786479481.786479
0.35491.625494.8275496.2496.2496.7175496.2488.4225496.2
0.4507.39508.166507.39508.36508.554507.39508.554507.39
0.45512.35513.565513.7513.7514.035513.7511.135513.7
0.5533.82544.41533.82544.41544.41533.82544.41544.41
0.55569.665575.65575575574.4665575587.35575
0.6595.2596.808595.2596.54596.272595.2596.272597.88
0.65599.83601.216600.01600.01599.956600.01606.844600.01
0.7609.07611.821609.07611.035610.249609.07610.249613
0.75625.7631.9425629.4629.4627.55629.4637.0275629.4
0.8703.33720.666703.33714.165707.664703.33707.664725
0.85757.1765.475759759757.67759771.025759
0.9798.33818.373798.33809.465800.557798.33800.557820.6
0.95879.75881.8995880.5880.5879.825880.5882.2105880.5


Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[200,300[25050.10.10.001
[300,400[35060.120.220.0012
[400,500[45080.160.380.0016
[500,600[550130.260.640.0026
[600,700[65070.140.780.0014
[700,800[75060.120.90.0012
[800,900]85050.110.001


Properties of Density Trace
Bandwidth55.0603814331171
#Observations50