Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean2.125288461538460.242419653109638.766980870884
Geometric Mean0
Harmonic Mean0
Quadratic Mean3.25113545254104
Winsorized Mean ( 1 / 34 )2.092307692307690.2287655295058469.14607938017262
Winsorized Mean ( 2 / 34 )2.084807692307690.2261544518378039.21851272599711
Winsorized Mean ( 3 / 34 )2.072692307692310.2220810675732669.33304369589503
Winsorized Mean ( 4 / 34 )2.013461538461540.2036658424422759.88610320865274
Winsorized Mean ( 5 / 34 )1.974038461538460.19268360104741210.2449738888403
Winsorized Mean ( 6 / 34 )1.929038461538460.18116442092499410.6479983856053
Winsorized Mean ( 7 / 34 )1.881250.16910191364244111.1249480238161
Winsorized Mean ( 8 / 34 )1.822788461538460.15641709626726211.6533838374288
Winsorized Mean ( 9 / 34 )1.819326923076920.15548367429668711.7010800735604
Winsorized Mean ( 10 / 34 )1.815480769230770.15474399344236811.7321566339628
Winsorized Mean ( 11 / 34 )1.803846153846150.15159035611129911.8994783053465
Winsorized Mean ( 12 / 34 )1.761153846153850.14383875528612312.2439452611403
Winsorized Mean ( 13 / 34 )1.764903846153850.14128801742686812.4915323910421
Winsorized Mean ( 14 / 34 )1.742019230769230.1373626260468912.6819010447178
Winsorized Mean ( 15 / 34 )1.700192307692310.13010716706242113.0676299090934
Winsorized Mean ( 16 / 34 )1.700192307692310.12886134445024913.19396685597
Winsorized Mean ( 17 / 34 )1.66750.12379574877992413.4697678751826
Winsorized Mean ( 18 / 34 )1.66750.12379574877992413.4697678751826
Winsorized Mean ( 19 / 34 )1.672980769230770.12126602815980713.795955838729
Winsorized Mean ( 20 / 34 )1.638365384615380.11563444100502514.1684896850428
Winsorized Mean ( 21 / 34 )1.597980769230770.10836575239508414.7461788795116
Winsorized Mean ( 22 / 34 )1.547211538461540.101569043824315.233101348655
Winsorized Mean ( 23 / 34 )1.542788461538460.099921595171813515.4399903132617
Winsorized Mean ( 24 / 34 )1.538173076923080.09710626098641115.8401019800189
Winsorized Mean ( 25 / 34 )1.538173076923080.0965301444657215.9346397484085
Winsorized Mean ( 26 / 34 )1.555673076923080.092798653412177616.763961757218
Winsorized Mean ( 27 / 34 )1.558269230769230.091297534327213717.0680319271749
Winsorized Mean ( 28 / 34 )1.560961538461540.090378273099903317.2714247011122
Winsorized Mean ( 29 / 34 )1.552596153846150.088683529441382217.5071533984491
Winsorized Mean ( 30 / 34 )1.555480769230770.087039075097741517.8710627092949
Winsorized Mean ( 31 / 34 )1.573365384615380.084472135324735618.6258507443538
Winsorized Mean ( 32 / 34 )1.548750.080022248528281419.3539925268738
Winsorized Mean ( 33 / 34 )1.536057692307690.074895548160271920.5093323974427
Winsorized Mean ( 34 / 34 )1.467403846153850.065330634237193622.4611908836855
Trimmed Mean ( 1 / 34 )2.030980392156860.2172329342767739.34932080588308
Trimmed Mean ( 2 / 34 )1.96720.2037302673099459.65590447592746
Trimmed Mean ( 3 / 34 )1.904795918367350.18948989901905410.0522293179111
Trimmed Mean ( 4 / 34 )1.844166666666670.17448751191092610.5690467270122
Trimmed Mean ( 5 / 34 )1.797340425531910.16397356363335710.9611597485967
Trimmed Mean ( 6 / 34 )1.757391304347830.15522503966027911.3215709797466
Trimmed Mean ( 7 / 34 )1.724333333333330.14828920776164711.6281782023204
Trimmed Mean ( 8 / 34 )1.697840909090910.14325349367445911.8520035047049
Trimmed Mean ( 9 / 34 )1.678953488372090.14023539220762711.9723948565445
Trimmed Mean ( 10 / 34 )1.659642857142860.13691675407079712.1215469093336
Trimmed Mean ( 11 / 34 )1.639878048780490.13319386268060412.3119640483202
Trimmed Mean ( 12 / 34 )1.62050.12943583768010112.5197165564382
Trimmed Mean ( 13 / 34 )1.604871794871790.12645895086313512.690851726334
Trimmed Mean ( 14 / 34 )1.588026315789470.1233736330181612.8716831703879
Trimmed Mean ( 15 / 34 )1.588026315789470.12041380288352613.1880754345541
Trimmed Mean ( 16 / 34 )1.560277777777780.11812915868133413.2082357581737
Trimmed Mean ( 17 / 34 )1.547285714285710.11559333325367213.3855964763138
Trimmed Mean ( 18 / 34 )1.536470588235290.11339283591703813.5499793775281
Trimmed Mean ( 19 / 34 )1.5250.11073714651243113.7713499763045
Trimmed Mean ( 20 / 34 )1.512343750.10791465391290414.0142575189148
Trimmed Mean ( 21 / 34 )1.501774193548390.10544597544914414.242119598701
Trimmed Mean ( 22 / 34 )1.493833333333330.10362663632087514.4155343294918
Trimmed Mean ( 23 / 34 )1.489482758620690.10245693838613414.5376465672556
Trimmed Mean ( 24 / 34 )1.485178571428570.10120924418517514.6743371456391
Trimmed Mean ( 25 / 34 )1.480925925925930.10003852106369914.8035567717256
Trimmed Mean ( 26 / 34 )1.476346153846150.09859573172399314.9737329195853
Trimmed Mean ( 27 / 34 )1.470.097304067914209315.1072820644669
Trimmed Mean ( 28 / 34 )1.462916666666670.095827378014159215.2661660684331
Trimmed Mean ( 29 / 34 )1.4550.094006244010935115.4776952883124
Trimmed Mean ( 30 / 34 )1.4550.091907538992299215.8311278481944
Trimmed Mean ( 31 / 34 )1.438095238095240.08940780657377916.0846719453802
Trimmed Mean ( 32 / 34 )1.426750.086517663455178816.4908521915775
Trimmed Mean ( 33 / 34 )1.416315789473680.083682510696031416.9248720872909
Trimmed Mean ( 34 / 34 )1.405833333333330.081036318528391517.348188551295
Median1.35
Midrange6.935
Midmean - Weighted Average at Xnp1.45622641509434
Midmean - Weighted Average at X(n+1)p1.47634615384615
Midmean - Empirical Distribution Function1.45622641509434
Midmean - Empirical Distribution Function - Averaging1.47634615384615
Midmean - Empirical Distribution Function - Interpolation1.47634615384615
Midmean - Closest Observation1.45622641509434
Midmean - True Basic - Statistics Graphics Toolkit1.47634615384615
Midmean - MS Excel (old versions)1.48092592592593
Number of observations104


Variability - Ungrouped Data
Absolute range13.87
Relative range (unbiased)5.61037597297543
Relative range (biased)5.63754502278671
Variance (unbiased)6.1117979742345
Variance (biased)6.05303068602071
Standard Deviation (unbiased)2.47220508336879
Standard Deviation (biased)2.4602907726569
Coefficient of Variation (unbiased)1.1632327225732
Coefficient of Variation (biased)1.15762674911242
Mean Squared Error (MSE versus 0)10.5698817307692
Mean Squared Error (MSE versus Mean)6.05303068602071
Mean Absolute Deviation from Mean (MAD Mean)1.7174926035503
Mean Absolute Deviation from Median (MAD Median)1.60798076923077
Median Absolute Deviation from Mean1.435
Median Absolute Deviation from Median1.12
Mean Squared Deviation from Mean6.05303068602071
Mean Squared Deviation from Median6.65410288461538
Interquartile Difference (Weighted Average at Xnp)2.35
Interquartile Difference (Weighted Average at X(n+1)p)2.3475
Interquartile Difference (Empirical Distribution Function)2.35
Interquartile Difference (Empirical Distribution Function - Averaging)2.315
Interquartile Difference (Empirical Distribution Function - Interpolation)2.2825
Interquartile Difference (Closest Observation)2.35
Interquartile Difference (True Basic - Statistics Graphics Toolkit)2.2825
Interquartile Difference (MS Excel (old versions))2.38
Semi Interquartile Difference (Weighted Average at Xnp)1.175
Semi Interquartile Difference (Weighted Average at X(n+1)p)1.17375
Semi Interquartile Difference (Empirical Distribution Function)1.175
Semi Interquartile Difference (Empirical Distribution Function - Averaging)1.1575
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)1.14125
Semi Interquartile Difference (Closest Observation)1.175
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)1.14125
Semi Interquartile Difference (MS Excel (old versions))1.19
Coefficient of Quartile Variation (Weighted Average at Xnp)0.741324921135647
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.72960372960373
Coefficient of Quartile Variation (Empirical Distribution Function)0.741324921135647
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.715610510046368
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.701767870868563
Coefficient of Quartile Variation (Closest Observation)0.741324921135647
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.701767870868563
Coefficient of Quartile Variation (MS Excel (old versions))0.74375
Number of all Pairs of Observations5356
Squared Differences between all Pairs of Observations12.223595948469
Mean Absolute Differences between all Pairs of Observations2.37124159820762
Gini Mean Difference2.37124159820762
Leik Measure of Dispersion0.326021727929565
Index of Diversity0.977499041439802
Index of Qualitative Variation0.986989323395528
Coefficient of Dispersion1.27221674337059
Observations104


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)
0.0100000000
0.0200000000
0.0300000000
0.0400000000
0.0500000000
0.0600000.0072000
0.070.01120.0140.040.040.044200.0260
0.080.04640.0480.060.060.06240.040.0520.04
0.090.06360.06450.070.070.070.060.06550.06
0.10.070.070.070.070.0790.070.070.07
0.110.08320.08650.10.10.10.070.08350.1
0.120.10.10.10.10.13240.10.10.1
0.130.14680.15850.190.190.190.190.13150.19
0.140.190.190.190.190.19420.190.190.19
0.150.1960.19750.20.20.21350.20.19250.2
0.160.21920.2240.230.230.230.230.2060.23
0.170.230.230.230.230.230.230.230.23
0.180.230.230.230.230.26780.230.230.23
0.190.28320.29650.30.30.30570.30.23350.3
0.20.3080.310.310.310.3280.310.310.31
0.210.33520.340.340.340.340.340.340.34
0.220.340.3420.340.340.35320.340.3580.34
0.230.35840.3660.360.360.38760.360.3940.36
0.240.39840.4020.40.40.40720.40.4080.4
0.250.410.4350.410.460.4850.410.4850.41
0.260.51120.5190.540.540.53340.510.5310.51
0.270.54160.5470.560.560.55620.540.5530.54
0.280.56120.5640.570.570.56840.560.5660.56
0.290.57480.58350.60.60.59610.570.58650.57
0.30.6140.6350.670.670.6630.60.6350.635
0.310.67480.6810.690.690.68860.670.6790.69
0.320.7040.720.740.740.7380.690.710.74
0.330.74640.7530.760.760.75980.740.7470.76
0.340.760.760.760.760.76060.760.760.76
0.350.7720.78250.790.790.790.760.76750.79
0.360.790.790.790.790.79080.790.790.79
0.370.79480.79850.80.80.80770.790.79150.8
0.380.83640.8630.870.870.87560.870.8070.87
0.390.89240.9080.910.910.91340.910.8720.91
0.40.9220.930.930.930.9360.930.930.93
0.410.94920.96050.960.960.96230.960.96950.96
0.420.96680.9740.970.970.98040.971.0060.97
0.430.99881.0131.011.011.01581.011.0271.01
0.441.02521.0421.031.031.04921.031.0781.03
0.451.0781.1151.091.091.1251.091.1651.09
0.461.1741.1961.191.191.19761.191.2041.19
0.471.20761.211.211.211.211.211.211.21
0.481.211.2221.211.211.22321.211.2281.21
0.491.23881.28051.241.241.28231.241.28951.24
0.51.331.351.331.351.351.331.351.35
0.511.37081.3811.391.391.38061.371.3791.39
0.521.39321.4141.431.431.41241.391.4061.43
0.531.43361.44951.461.461.44771.431.44051.46
0.541.46161.4671.471.471.46621.461.4631.47
0.551.4961.56751.61.61.55451.471.50251.6
0.561.6241.681.71.71.6681.61.621.7
0.571.72521.77651.791.791.76391.71.71351.79
0.581.8221.881.891.891.8641.791.81.89
0.591.90441.9281.931.931.92081.891.8921.93
0.61.951.981.981.981.971.931.981.98
0.611.98882.0005221.99661.982.00952
0.622.00482.0182.012.012.008622.0822.01
0.632.05162.09152.092.092.08122.092.09852.09
0.642.09562.12.12.12.09922.12.12.1
0.652.12.12752.12.12.12.12.18252.1
0.662.17042.2192.212.212.20782.212.2312.21
0.672.23042.32052.242.242.24232.242.38952.24
0.682.40562.5062.472.472.47362.472.5242.47
0.692.53842.6052.562.562.5672.562.6152.56
0.72.642.6652.662.662.6612.662.6652.665
0.712.66842.6812.672.672.67262.672.6792.69
0.722.68762.7142.692.692.69642.692.7062.73
0.732.72682.73652.732.732.73192.732.73352.74
0.742.73962.7542.742.742.74442.742.7462.76
0.752.762.78252.762.7752.76752.762.76752.79
0.762.79042.7982.82.82.79282.792.7922.8
0.772.80482.8512.862.862.81862.82.8092.86
0.782.86482.8962.92.92.87362.862.8642.9
0.792.93843.1283.143.142.98882.92.9123.14
0.83.1863.373.373.373.2323.143.373.37
0.813.41563.5623.563.563.45173.373.5983.56
0.823.57123.63.63.63.57843.563.63.6
0.833.63.633.63.63.63.63.773.6
0.843.6723.8063.83.83.7043.63.8243.8
0.853.8123.9053.833.833.81653.84.0553.83
0.863.9624.1814.134.134.0043.834.2494.13
0.874.21164.3214.34.34.23374.134.3394.3
0.884.33124.5084.364.364.33844.364.5824.36
0.894.56724.7934.734.734.60794.734.8074.73
0.94.8144.894.874.874.8284.874.894.89
0.914.89564.93754.914.914.89924.914.93254.96
0.924.9445.4284.964.964.9484.965.2725.74
0.935.52166.22755.745.745.57625.746.00256.49
0.946.317.0366.496.496.3556.496.7247.27
0.957.1147.8857.277.277.1537.277.4758.09
0.967.95889.3228.098.097.99168.098.3989.63
0.979.44529.9879.639.639.49149.639.69310.05
0.9810.016410.40110.0510.0510.024810.0510.08910.44
0.9910.424413.698510.4410.4410.428310.4410.611513.87


Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[0,2[1640.6153850.6153850.307692
[2,4[3250.2403850.8557690.120192
[4,6[580.0769230.9326920.038462
[6,8[720.0192310.9519230.009615
[8,10[920.0192310.9711540.009615
[10,12[1120.0192310.9903850.009615
[12,14]1310.00961510.004808


Properties of Density Trace
Bandwidth0.605538595816418
#Observations104