Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean232.51833333333310.549208739884922.0413055677074
Geometric Mean220.520661596011
Harmonic Mean210.326474891660
Quadratic Mean246.232893483656
Winsorized Mean ( 1 / 20 )232.55833333333310.499164963208822.1501742422627
Winsorized Mean ( 2 / 20 )231.75833333333310.134070267119122.8692250225749
Winsorized Mean ( 3 / 20 )230.5433333333339.547001885902024.1482442434389
Winsorized Mean ( 4 / 20 )229.2033333333339.1303739586741725.103389452694
Winsorized Mean ( 5 / 20 )227.4458.6324075453055726.3478060791613
Winsorized Mean ( 6 / 20 )226.6558.383609050177327.0354925478314
Winsorized Mean ( 7 / 20 )224.2757.7273487552530429.0235379692858
Winsorized Mean ( 8 / 20 )223.6216666666677.4795552194366929.8977225391095
Winsorized Mean ( 9 / 20 )223.4266666666677.3664332094817230.3303729651797
Winsorized Mean ( 10 / 20 )223.217.0700676844105931.5711263262975
Winsorized Mean ( 11 / 20 )219.9655.865739281316937.4999619742076
Winsorized Mean ( 12 / 20 )216.2255.1001620806193642.3957114660446
Winsorized Mean ( 13 / 20 )215.0554.5024779273057847.7636988947298
Winsorized Mean ( 14 / 20 )215.6154.0863288850828152.7649648531974
Winsorized Mean ( 15 / 20 )215.7653.8690206829632955.7673420951436
Winsorized Mean ( 16 / 20 )215.6053.8089660985775456.604599363727
Winsorized Mean ( 17 / 20 )216.5683333333333.2888722601948965.8488126627635
Winsorized Mean ( 18 / 20 )215.0383333333333.0023080496903471.6243402656542
Winsorized Mean ( 19 / 20 )215.642.7989346237896677.0436001495564
Winsorized Mean ( 20 / 20 )216.342.6684981704838681.0718187454379
Trimmed Mean ( 1 / 20 )230.2827586206909.937271233900723.1736412542597
Trimmed Mean ( 2 / 20 )227.8446428571439.2241963432864524.7007581341189
Trimmed Mean ( 3 / 20 )225.6703703703708.5782396722416726.3073053438478
Trimmed Mean ( 4 / 20 )223.7961538461548.0673064024361827.7411248168994
Trimmed Mean ( 5 / 20 )222.1747.5969359075665229.2452118463597
Trimmed Mean ( 6 / 20 )220.856257.1861543798974930.7335799266743
Trimmed Mean ( 7 / 20 )219.5956521739136.7402167115791332.5799097522586
Trimmed Mean ( 8 / 20 )218.6840909090916.381718524290734.2672730043976
Trimmed Mean ( 9 / 20 )217.8023809523815.9865989407034836.3816556127589
Trimmed Mean ( 10 / 20 )216.8655.4879034224700939.5169126176768
Trimmed Mean ( 11 / 20 )215.8631578947374.8962368646342744.0875643606881
Trimmed Mean ( 12 / 20 )215.2416666666674.5067839076747647.7594823883444
Trimmed Mean ( 13 / 20 )215.0970588235294.2268210017274050.8886131529167
Trimmed Mean ( 14 / 20 )215.1031254.0245378525882153.4479070340128
Trimmed Mean ( 15 / 20 )215.033.8642902427819555.6454061393684
Trimmed Mean ( 16 / 20 )214.9253.6951191351944858.1645657789293
Trimmed Mean ( 17 / 20 )214.8269230769233.4542217544613662.1925684995354
Trimmed Mean ( 18 / 20 )214.5708333333333.2823334707620865.3714301866822
Trimmed Mean ( 19 / 20 )214.53.1222979660411368.699400996623
Trimmed Mean ( 20 / 20 )214.322.9364371537451272.9864079422429
Median214.6
Midrange297.35
Midmean - Weighted Average at Xnp213.803225806452
Midmean - Weighted Average at X(n+1)p215.03
Midmean - Empirical Distribution Function213.803225806452
Midmean - Empirical Distribution Function - Averaging215.03
Midmean - Empirical Distribution Function - Interpolation215.03
Midmean - Closest Observation213.803225806452
Midmean - True Basic - Statistics Graphics Toolkit215.03
Midmean - MS Excel (old versions)215.103125
Number of observations60


Variability - Ungrouped Data
Absolute range342.9
Relative range (unbiased)4.19635261171575
Relative range (biased)4.23176549787481
Variance (unbiased)6677.14830225989
Variance (biased)6565.86249722222
Standard Deviation (unbiased)81.7138195304802
Standard Deviation (biased)81.0300098557455
Coefficient of Variation (unbiased)0.35142957701033
Coefficient of Variation (biased)0.348488692027491
Mean Squared Error (MSE versus 0)60630.6378333333
Mean Squared Error (MSE versus Mean)6565.86249722222
Mean Absolute Deviation from Mean (MAD Mean)60.9832222222222
Mean Absolute Deviation from Median (MAD Median)57.7883333333333
Median Absolute Deviation from Mean44.2683333333333
Median Absolute Deviation from Median38
Mean Squared Deviation from Mean6565.86249722222
Mean Squared Deviation from Median6886.92916666667
Interquartile Difference (Weighted Average at Xnp)76
Interquartile Difference (Weighted Average at X(n+1)p)77.05
Interquartile Difference (Empirical Distribution Function)76
Interquartile Difference (Empirical Distribution Function - Averaging)75.7
Interquartile Difference (Empirical Distribution Function - Interpolation)74.35
Interquartile Difference (Closest Observation)76
Interquartile Difference (True Basic - Statistics Graphics Toolkit)74.35
Interquartile Difference (MS Excel (old versions))78.4
Semi Interquartile Difference (Weighted Average at Xnp)38
Semi Interquartile Difference (Weighted Average at X(n+1)p)38.525
Semi Interquartile Difference (Empirical Distribution Function)38
Semi Interquartile Difference (Empirical Distribution Function - Averaging)37.85
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)37.175
Semi Interquartile Difference (Closest Observation)38
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)37.175
Semi Interquartile Difference (MS Excel (old versions))39.2
Coefficient of Quartile Variation (Weighted Average at Xnp)0.176744186046512
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.178129695988903
Coefficient of Quartile Variation (Empirical Distribution Function)0.176744186046512
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.174948000924428
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.171768511031535
Coefficient of Quartile Variation (Closest Observation)0.176744186046512
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.171768511031535
Coefficient of Quartile Variation (MS Excel (old versions))0.181313598519889
Number of all Pairs of Observations1770
Squared Differences between all Pairs of Observations13354.2966045198
Mean Absolute Differences between all Pairs of Observations86.9913559322034
Gini Mean Difference86.9913559322036
Leik Measure of Dispersion0.502911804901114
Index of Diversity0.981309260525483
Index of Qualitative Variation0.997941620873372
Coefficient of Dispersion0.284171585378482
Observations60


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)
0.02127.34127.484133.1133.1133.928125.9131.516125.9
0.04134.94135.124137.7137.7140.616133.1135.676133.1
0.06142.56143.046145.8145.8146.178145.8140.454145.8
0.08146.36146.416146.5146.5146.86146.5145.884146.5
0.1147147.11147147.55147.99147147.99147
0.12148.44148.644149.8149.8149.952148.1149.256148.1
0.14150.56150.826151.7151.7152.012149.8150.674151.7
0.16152.42152.612152.9152.9154.616152.9151.988152.9
0.18156.02156.722156.8156.8161.512156.8152.978156.8
0.2164.4164.54164.4164.75164.96164.4164.96164.4
0.22166.16167.326170.4170.4170.294165.1168.174165.1
0.24173.04174.624177177177.48170.4172.776177
0.26178.8179.58180180180.136180177.42180
0.28180.32181.008180.4180.4184.352180.4187.392180.4
0.3188188.15188188.25188.35188188.35188
0.32189.12190.112191.6191.6191.228188.5189.988191.6
0.34192.56193.376194194194.318191.6192.224194
0.36197.18199.088199.3199.3199.348199.3194.212199.3
0.38199.46200.112199.5199.5200.928199.5202.288199.5
0.4202.9203.22202.9203.3203.38202.9203.38202.9
0.42203.96204.506205205204.714203.7204.194205
0.44205.24205.504205.6205.6205.576205205.096205.6
0.46205.9206.4206.1206.1206.8206.1210.8206.1
0.48210.1211.912211.1211.1212.028211.1213.188211.1
0.5214214.6214214.6214.6214214.6214.6
0.52215.28215.488215.6215.6215.472215.2215.312215.6
0.54216.36217.386217.5217.5217.234215.6215.714217.5
0.56217.92218.2218.2218.2218.2218.2218.2218.2
0.58218.2218.618218.2218.2218.442218.2218.882218.2
0.6219.3225.72219.3224.65223.58219.3223.58230
0.62230.06230.246230.3230.3230.174230230.054230.3
0.64234.26240.22240.2240.2237.824230.3240.68240.2
0.66240.5240.778240.7240.7240.67240.7240.922240.7
0.68240.94241.576241241241.144241241.624241
0.7242.2246.12242.2245243.88242.2243.88247.8
0.72248.64251.664252252249.816247.8248.136252
0.74252.4253.336253253252.66252255.064253
0.76254.44256.912255.4255.4255.016255.4258.088255.4
0.78258.76265.806259.6259.6259.814259.6264.094270.3
0.8270.3285.82270.3280274.18270.3274.18289.7
0.82294.76315.104315315299.314289.7320.096315
0.84317.08320.8320.2320.2317.912315322.1320.2
0.86321.7325.828322.7322.7322.05322.7326.372322.7
0.88328.14344.528329.5329.5328.956329.5336.572351.6
0.9351.6359.7351.6356.1352.5351.6352.5360.6
0.92364.92384.696382.2382.2366.648360.6400.504382.2
0.94390.52414.016403403391.768382.2424.384403
0.96422.44451.416435.4435.4423.736435.4447.984464
0.98458.28467.744464464458.852464465.056468.8


Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[100,150[12580.1333330.1333330.002667
[150,200[175150.250.3833330.005
[200,250[225200.3333330.7166670.006667
[250,300[27560.10.8166670.002
[300,350[32540.0666670.8833330.001333
[350,400[37530.050.9333330.001
[400,450[42520.0333330.9666670.000667
[450,500]47520.03333310.000667


Properties of Density Trace
Bandwidth22.0185357087039
#Observations60