Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean-1.97863e-160.0968488-2.04301e-15
Geometric MeanNaN
Harmonic Mean-0.0591205
Quadratic Mean1.29212
Winsorized Mean ( 1 / 59 )-0.002706630.0960787-0.0281709
Winsorized Mean ( 2 / 59 )0.005737290.09281120.0618168
Winsorized Mean ( 3 / 59 )0.008946480.09216350.0970717
Winsorized Mean ( 4 / 59 )0.008132570.08944530.0909222
Winsorized Mean ( 5 / 59 )0.006541550.08917370.0733574
Winsorized Mean ( 6 / 59 )0.005881640.08888480.0661715
Winsorized Mean ( 7 / 59 )0.005319950.08822370.0603007
Winsorized Mean ( 8 / 59 )0.003897210.08680470.0448962
Winsorized Mean ( 9 / 59 )0.006323380.0843910.0749296
Winsorized Mean ( 10 / 59 )0.01071460.08368760.128031
Winsorized Mean ( 11 / 59 )0.01128260.08322620.135566
Winsorized Mean ( 12 / 59 )0.009795770.08265640.118512
Winsorized Mean ( 13 / 59 )0.008529330.08111250.105154
Winsorized Mean ( 14 / 59 )0.009553380.08092870.118047
Winsorized Mean ( 15 / 59 )0.009380530.08071340.11622
Winsorized Mean ( 16 / 59 )0.008693740.07948740.109373
Winsorized Mean ( 17 / 59 )0.002707920.07870470.0344061
Winsorized Mean ( 18 / 59 )0.01505910.07628540.197404
Winsorized Mean ( 19 / 59 )0.01108420.07561040.146596
Winsorized Mean ( 20 / 59 )0.01304570.07505770.173808
Winsorized Mean ( 21 / 59 )-0.001133560.072835-0.0155634
Winsorized Mean ( 22 / 59 )0.007129650.07184460.0992371
Winsorized Mean ( 23 / 59 )0.004738090.07142180.0663396
Winsorized Mean ( 24 / 59 )0.01014070.07040930.144024
Winsorized Mean ( 25 / 59 )0.01097080.07008870.156527
Winsorized Mean ( 26 / 59 )0.01193420.06968440.171261
Winsorized Mean ( 27 / 59 )0.01301230.06952480.18716
Winsorized Mean ( 28 / 59 )0.00751870.06882520.109243
Winsorized Mean ( 29 / 59 )0.006121240.06748070.090711
Winsorized Mean ( 30 / 59 )0.005360220.0661560.0810238
Winsorized Mean ( 31 / 59 )0.008118860.06557810.123804
Winsorized Mean ( 32 / 59 )0.009685370.06525020.148434
Winsorized Mean ( 33 / 59 )0.0129290.06399150.202042
Winsorized Mean ( 34 / 59 )0.02503230.06273020.399048
Winsorized Mean ( 35 / 59 )0.01569970.06110790.256917
Winsorized Mean ( 36 / 59 )0.01121350.06029820.185967
Winsorized Mean ( 37 / 59 )0.0099360.06013190.165237
Winsorized Mean ( 38 / 59 )-0.002694970.0588763-0.0457735
Winsorized Mean ( 39 / 59 )-0.0009298840.0582625-0.0159603
Winsorized Mean ( 40 / 59 )-0.002379550.0570941-0.0416777
Winsorized Mean ( 41 / 59 )-0.003734010.0568499-0.065682
Winsorized Mean ( 42 / 59 )-0.004551280.0547028-0.0832001
Winsorized Mean ( 43 / 59 )-0.00226070.0530582-0.0426079
Winsorized Mean ( 44 / 59 )-0.01757890.0506918-0.34678
Winsorized Mean ( 45 / 59 )-0.01994960.0499414-0.399459
Winsorized Mean ( 46 / 59 )-0.003802140.0478291-0.0794944
Winsorized Mean ( 47 / 59 )-0.002491120.046811-0.0532164
Winsorized Mean ( 48 / 59 )-0.001806890.0467008-0.0386908
Winsorized Mean ( 49 / 59 )-0.00176060.0465997-0.0377813
Winsorized Mean ( 50 / 59 )0.003355170.04565120.0734958
Winsorized Mean ( 51 / 59 )0.002959260.04394530.0673396
Winsorized Mean ( 52 / 59 )-0.001841540.04308-0.0427469
Winsorized Mean ( 53 / 59 )-0.01462310.041674-0.350893
Winsorized Mean ( 54 / 59 )-0.01884990.0397413-0.474316
Winsorized Mean ( 55 / 59 )-0.01572920.0393876-0.399343
Winsorized Mean ( 56 / 59 )-0.01888950.0388233-0.486549
Winsorized Mean ( 57 / 59 )-0.01878020.0385919-0.486635
Winsorized Mean ( 58 / 59 )-0.01856880.0383541-0.48414
Winsorized Mean ( 59 / 59 )-0.01937230.0371594-0.521329
Trimmed Mean ( 1 / 59 )0.001842940.09271750.0198769
Trimmed Mean ( 2 / 59 )0.006496490.08905070.0729527
Trimmed Mean ( 3 / 59 )0.006889250.08695210.0792304
Trimmed Mean ( 4 / 59 )0.006171430.08494390.072653
Trimmed Mean ( 5 / 59 )0.005652130.0836070.0676036
Trimmed Mean ( 6 / 59 )0.005461470.08223740.066411
Trimmed Mean ( 7 / 59 )0.00538550.08082550.0666312
Trimmed Mean ( 8 / 59 )0.005395780.07943090.0679305
Trimmed Mean ( 9 / 59 )0.005604050.07817240.0716883
Trimmed Mean ( 10 / 59 )0.005514070.07719290.0714323
Trimmed Mean ( 11 / 59 )0.004921140.0762370.0645505
Trimmed Mean ( 12 / 59 )0.004253270.0752670.0565091
Trimmed Mean ( 13 / 59 )0.003712910.07429130.0499777
Trimmed Mean ( 14 / 59 )0.003273710.07342230.0445874
Trimmed Mean ( 15 / 59 )0.003273710.07250220.0451533
Trimmed Mean ( 16 / 59 )0.002195360.07152870.0306921
Trimmed Mean ( 17 / 59 )0.001693980.07060480.0239924
Trimmed Mean ( 18 / 59 )0.001619320.06968310.0232384
Trimmed Mean ( 19 / 59 )0.0006714450.06892410.00974181
Trimmed Mean ( 20 / 59 )-3.43015e-050.0681629-0.000503229
Trimmed Mean ( 21 / 59 )-0.0008887950.0673848-0.0131898
Trimmed Mean ( 22 / 59 )-0.0008733410.0667422-0.0130853
Trimmed Mean ( 23 / 59 )-0.001362930.0661272-0.0206107
Trimmed Mean ( 24 / 59 )-0.001725390.0654897-0.0263459
Trimmed Mean ( 25 / 59 )-0.002411440.0648777-0.037169
Trimmed Mean ( 26 / 59 )-0.00316590.0642313-0.0492891
Trimmed Mean ( 27 / 59 )-0.003997570.0635536-0.0629007
Trimmed Mean ( 28 / 59 )-0.004914390.0628195-0.0782303
Trimmed Mean ( 29 / 59 )-0.005571270.0620704-0.0897573
Trimmed Mean ( 30 / 59 )-0.005571270.0613588-0.0907982
Trimmed Mean ( 31 / 59 )-0.006766150.0606842-0.111498
Trimmed Mean ( 32 / 59 )-0.007513540.059984-0.125259
Trimmed Mean ( 33 / 59 )-0.008364920.0592328-0.141221
Trimmed Mean ( 34 / 59 )-0.009405490.0585053-0.160763
Trimmed Mean ( 35 / 59 )-0.01106880.0577999-0.191503
Trimmed Mean ( 36 / 59 )-0.01234830.0571533-0.216056
Trimmed Mean ( 37 / 59 )-0.01346410.056498-0.23831
Trimmed Mean ( 38 / 59 )-0.01456310.0557749-0.261105
Trimmed Mean ( 39 / 59 )-0.01511670.0550746-0.274476
Trimmed Mean ( 40 / 59 )-0.01577440.0543384-0.290299
Trimmed Mean ( 41 / 59 )-0.01639230.0536125-0.305756
Trimmed Mean ( 42 / 59 )-0.01697410.0528112-0.32141
Trimmed Mean ( 43 / 59 )-0.01754340.0521042-0.336698
Trimmed Mean ( 44 / 59 )-0.01824250.0514519-0.354553
Trimmed Mean ( 45 / 59 )-0.01827280.0509278-0.358798
Trimmed Mean ( 46 / 59 )-0.01819610.0503912-0.361097
Trimmed Mean ( 47 / 59 )-0.01885510.049967-0.37735
Trimmed Mean ( 48 / 59 )-0.01960590.0495634-0.395573
Trimmed Mean ( 49 / 59 )-0.02042540.0490945-0.416042
Trimmed Mean ( 50 / 59 )-0.02128850.0485491-0.438494
Trimmed Mean ( 51 / 59 )-0.02128850.048002-0.443492
Trimmed Mean ( 52 / 59 )-0.02362260.0475331-0.496972
Trimmed Mean ( 53 / 59 )-0.02464970.0470635-0.523753
Trimmed Mean ( 54 / 59 )-0.02512660.0466529-0.538587
Trimmed Mean ( 55 / 59 )-0.02542820.0463627-0.548462
Trimmed Mean ( 56 / 59 )-0.02589930.0460315-0.562643
Trimmed Mean ( 57 / 59 )-0.0262440.045677-0.574557
Trimmed Mean ( 58 / 59 )-0.02661610.0452533-0.588158
Trimmed Mean ( 59 / 59 )-0.02702320.0447474-0.603906
Median-0.0893082
Midrange-0.1631
Midmean - Weighted Average at Xnp-0.0274469
Midmean - Weighted Average at X(n+1)p-0.0182425
Midmean - Empirical Distribution Function-0.0182425
Midmean - Empirical Distribution Function - Averaging-0.0182425
Midmean - Empirical Distribution Function - Interpolation-0.0182728
Midmean - Closest Observation-0.0274469
Midmean - True Basic - Statistics Graphics Toolkit-0.0182425
Midmean - MS Excel (old versions)-0.0182425
Number of observations179


Variability - Ungrouped Data
Absolute range7.8743
Relative range (unbiased)6.07703
Relative range (biased)6.09408
Variance (unbiased)1.67896
Variance (biased)1.66958
Standard Deviation (unbiased)1.29575
Standard Deviation (biased)1.29212
Coefficient of Variation (unbiased)-6.54873e+15
Coefficient of Variation (biased)-6.53041e+15
Mean Squared Error (MSE versus 0)1.66958
Mean Squared Error (MSE versus Mean)1.66958
Mean Absolute Deviation from Mean (MAD Mean)1.02588
Mean Absolute Deviation from Median (MAD Median)1.02456
Median Absolute Deviation from Mean0.832331
Median Absolute Deviation from Median0.845015
Mean Squared Deviation from Mean1.66958
Mean Squared Deviation from Median1.67756
Interquartile Difference (Weighted Average at Xnp)1.64348
Interquartile Difference (Weighted Average at X(n+1)p)1.6541
Interquartile Difference (Empirical Distribution Function)1.6541
Interquartile Difference (Empirical Distribution Function - Averaging)1.6541
Interquartile Difference (Empirical Distribution Function - Interpolation)1.63777
Interquartile Difference (Closest Observation)1.63306
Interquartile Difference (True Basic - Statistics Graphics Toolkit)1.6541
Interquartile Difference (MS Excel (old versions))1.6541
Semi Interquartile Difference (Weighted Average at Xnp)0.821739
Semi Interquartile Difference (Weighted Average at X(n+1)p)0.827051
Semi Interquartile Difference (Empirical Distribution Function)0.827051
Semi Interquartile Difference (Empirical Distribution Function - Averaging)0.827051
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)0.818887
Semi Interquartile Difference (Closest Observation)0.81653
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)0.827051
Semi Interquartile Difference (MS Excel (old versions))0.827051
Coefficient of Quartile Variation (Weighted Average at Xnp)-30.0311
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)-48.959
Coefficient of Quartile Variation (Empirical Distribution Function)-48.959
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)-48.959
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)-42.5391
Coefficient of Quartile Variation (Closest Observation)-29.7854
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)-48.959
Coefficient of Quartile Variation (MS Excel (old versions))-48.959
Number of all Pairs of Observations15931
Squared Differences between all Pairs of Observations3.35793
Mean Absolute Differences between all Pairs of Observations1.45239
Gini Mean Difference1.45239
Leik Measure of Dispersion-3.65032e+15
Index of Diversity-2.35672e+29
Index of Qualitative Variation-2.36996e+29
Coefficient of Dispersion-11.487
Observations179


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)
0.01-4.029374-4.028477-4.010533-4.010533-3.143556-4.010533-4.082308-4.010533
0.02-2.777693-2.773509-2.689832-2.689832-2.485754-2.689832-2.815347-2.689832
0.03-2.323952-2.323834-2.321475-2.321475-2.314864-2.325407-2.323048-2.325407
0.04-2.29385-2.291805-2.250899-2.250899-2.239309-2.302032-2.261125-2.302032
0.05-2.159146-2.154317-2.154317-2.154317-1.972393-2.154317-2.154317-2.154317
0.06-1.886824-1.881525-1.863861-1.863861-1.8407-1.863861-1.934516-1.863861
0.07-1.818023-1.816468-1.807579-1.807579-1.772297-1.807579-1.820912-1.807579
0.08-1.725671-1.724369-1.714606-1.714606-1.712328-1.730878-1.721115-1.730878
0.09-1.699287-1.69452-1.652146-1.652146-1.652089-1.705113-1.662739-1.705113
0.1-1.649597-1.649314-1.649314-1.649314-1.516543-1.649314-1.649314-1.649314
0.11-1.477374-1.476421-1.474689-1.474689-1.456747-1.474689-1.481618-1.474689
0.12-1.43221-1.429324-1.419704-1.419704-1.394151-1.443754-1.434134-1.419704
0.13-1.347148-1.34639-1.342889-1.342889-1.335064-1.348723-1.345223-1.348723
0.14-1.286162-1.284218-1.27311-1.27311-1.274221-1.286995-1.275887-1.286995
0.15-1.258997-1.256507-1.256507-1.256507-1.250411-1.256507-1.256507-1.256507
0.16-1.245663-1.245129-1.244461-1.244461-1.227389-1.244461-1.247131-1.244461
0.17-1.193324-1.187168-1.172685-1.172685-1.166306-1.208893-1.19441-1.172685
0.18-1.145169-1.142732-1.134606-1.134606-1.132888-1.148149-1.140023-1.148149
0.19-1.090983-1.078348-1.02515-1.02515-1.03712-1.091648-1.03845-1.091648
0.2-1.011418-1.007985-1.007985-1.007985-1.002552-1.007985-1.007985-1.007985
0.21-0.998375-0.998178-0.997989-0.997989-0.997967-0.997989-0.998743-0.997989
0.22-0.990806-0.986681-0.979183-0.979183-0.975342-0.99793-0.990431-0.979183
0.23-0.95474-0.954145-0.952592-0.952592-0.952747-0.95518-0.953627-0.95518
0.24-0.907883-0.897732-0.90602-0.90602-0.876182-0.90602-0.872867-0.90602
0.25-0.849102-0.843943-0.843943-0.843943-0.838137-0.843943-0.843943-0.843943
0.26-0.790727-0.770696-0.755287-0.755287-0.748513-0.755287-0.816922-0.755287
0.27-0.729904-0.72893-0.727487-0.727487-0.727357-0.731094-0.729651-0.727487
0.28-0.72191-0.713933-0.69684-0.69684-0.701398-0.725328-0.708236-0.725328
0.29-0.666576-0.661871-0.663583-0.663583-0.658278-0.663583-0.656738-0.663583
0.3-0.651268-0.649657-0.649657-0.649657-0.637589-0.649657-0.649657-0.649657
0.31-0.613677-0.61-0.607628-0.607628-0.606638-0.619489-0.617117-0.607628
0.32-0.600885-0.599461-0.597681-0.597681-0.597859-0.602131-0.600351-0.597681
0.33-0.591613-0.584943-0.572816-0.572816-0.578071-0.593028-0.580901-0.593028
0.34-0.546365-0.533999-0.542059-0.542059-0.521103-0.542059-0.509819-0.542059
0.35-0.501544-0.501428-0.501428-0.501428-0.496714-0.501428-0.501759-0.501428
0.36-0.468494-0.454405-0.446577-0.446577-0.445711-0.485715-0.477887-0.446577
0.37-0.434354-0.432119-0.429702-0.429702-0.430548-0.435744-0.433327-0.429702
0.38-0.428569-0.425977-0.421884-0.421884-0.42434-0.428705-0.424613-0.428705
0.39-0.402727-0.396333-0.398233-0.398233-0.394243-0.398233-0.390633-0.398233
0.4-0.38384-0.380579-0.380579-0.380579-0.380069-0.380579-0.380579-0.380579
0.41-0.374388-0.370558-0.36869-0.36869-0.368877-0.37803-0.376162-0.36869
0.42-0.339189-0.337789-0.336455-0.336455-0.337255-0.33979-0.338456-0.336455
0.43-0.335582-0.320739-0.335555-0.335555-0.315554-0.335555-0.313332-0.335555
0.44-0.297676-0.291274-0.297411-0.297411-0.287591-0.297411-0.272863-0.297411
0.45-0.253805-0.243233-0.243233-0.243233-0.243134-0.243233-0.243233-0.243233
0.46-0.236901-0.22967-0.226526-0.226526-0.228412-0.242246-0.239102-0.226526
0.47-0.177859-0.17732-0.176861-0.176861-0.177251-0.178008-0.177549-0.176861
0.48-0.163371-0.15156-0.162198-0.162198-0.150496-0.162198-0.146241-0.162198
0.49-0.119677-0.109909-0.113172-0.113172-0.109583-0.113172-0.100121-0.113172
0.5-0.093083-0.089308-0.089308-0.089308-0.089308-0.089308-0.089308-0.089308
0.51-0.043861-0.026696-0.019965-0.019965-0.027369-0.053621-0.04689-0.019965
0.520.0048960.0389130.065080.065080.036296-0.0003370.025830.06508
0.530.0708760.0741350.0717420.0717420.0737760.0717420.0753320.071742
0.540.0905120.1021660.09710.09710.100140.09710.1173660.0971
0.550.1258660.1300610.1300610.1300610.1292980.1224330.2135670.130061
0.560.2153570.2195320.2210230.2210230.2186370.2135670.2150590.221023
0.570.2428910.2452310.2468740.2468740.2446570.2427680.244410.246874
0.580.2541480.2610330.2557450.2557450.2589180.2557450.2636770.255745
0.590.280890.2889430.2885130.2885130.2885560.2885130.2902340.288513
0.60.3002860.3147180.3147180.3147180.3099080.2906640.3147180.314718
0.610.417330.4209790.4221760.4221760.4196630.4161930.4173890.422176
0.620.4232040.4315830.4232250.4232250.428240.4232250.4287970.437156
0.630.4559830.4618910.4616070.4616070.4617070.4616070.4620330.461607
0.640.481250.497890.4961270.4961270.4934220.4961270.5031780.496127
0.650.5095680.5181620.5181620.5181620.5141950.5049410.5181620.518162
0.660.524640.5287490.5299940.5299940.5267570.5237690.5250140.529994
0.670.5411430.5555720.5419820.5419820.5478710.5419820.5510420.564631
0.680.5675120.5702750.5686320.5686320.5687970.5686320.5710960.568632
0.690.5806940.5886780.5883370.5883370.5855290.5883370.5897010.588337
0.70.6032950.634220.634220.634220.6165490.5900420.5900420.63422
0.710.6850160.7028240.707840.707840.692290.6827590.6877750.70784
0.720.738330.7485920.7424880.7424880.7441150.7424880.7465570.752661
0.730.7539940.7550730.7546510.7546510.7545310.7546510.7552840.754651
0.740.7645380.7777480.7749060.7749060.769530.7557070.7862740.774906
0.750.7943760.8101580.8101580.8101580.7996370.7891160.8101580.810158
0.760.8943870.9186350.9250170.9250170.9020440.8931110.8994920.925017
0.770.9665620.9801720.9750710.9750710.9755810.9750710.9784720.983573
0.781.0024771.0183211.0140631.0140631.0091851.0140631.020451.014063
0.791.0491281.0856911.0842671.0842671.0616351.0247091.0899641.084267
0.81.0976611.1227491.1227491.1227491.1039331.0913891.1227491.122749
0.811.1869951.1898661.1876441.1876441.1881441.1876441.18821.190421
0.821.2102051.2186531.2157851.2157851.2147711.2157851.2176971.220565
0.831.2254721.2454721.2291731.2291731.2269351.2291731.2536221.229173
0.841.2858311.3218071.3141151.3141151.2929021.2699221.3448811.314115
0.851.3528071.3541331.3541331.3541331.3530411.3525731.3541331.354133
0.861.3635051.3704571.3641041.3641041.3647391.3641041.3656921.372045
0.871.3834331.4023131.3876451.3876451.3854611.3876451.3974241.412092
0.881.4140411.4738041.415841.415841.4144911.415841.5027861.41584
0.891.5648991.5833521.5741311.5741311.566371.5607511.6110181.574131
0.91.6245541.6633781.6633781.6633781.6288671.620241.6633781.663378
0.911.7219921.7777581.7292371.7292371.727921.7292371.7413671.789888
0.921.7977461.8033511.8014431.8014431.798671.8014431.8027151.804622
0.931.8488681.9165221.8987621.8987621.8554571.8046221.9254021.898762
0.941.9496151.9699221.9679791.9679791.9511041.9431621.9757511.967979
0.951.9853882.1315782.1315782.1315781.9930821.9776942.1315782.131578
0.962.2394472.3123912.2599932.2599932.2445842.2599932.2730932.32549
0.972.3501422.4011542.364622.364622.3513162.364622.3889762.42551
0.982.5938672.8334432.8263592.8263592.6018842.425512.8369852.826359
0.992.9187823.3146883.1998473.1998472.922342.8440693.6592113.199847


Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[-5,-4[-4.520.0111730.0111730.011173
[-4,-3[-3.5000.0111730
[-3,-2[-2.570.0391060.0502790.039106
[-2,-1[-1.5270.1508380.2011170.150838
[-1,0[-0.5570.3184360.5195530.318436
[0,1[0.5460.2569830.7765360.256983
[1,2[1.5310.1731840.9497210.173184
[2,3[2.570.0391060.9888270.039106
[3,4]3.520.01117310.011173


Properties of Density Trace
Bandwidth0.389781433094883
#Observations179