Central Tendency - Ungrouped Data | |||
Measure | Value | S.E. | Value/S.E. |
Arithmetic Mean | 17167453.75 | 368154.044487444 | 46.6311697699833 |
Geometric Mean | 16771879.6454805 | ||
Harmonic Mean | 16378027.4789571 | ||
Quadratic Mean | 17569343.2007874 | ||
Winsorized Mean ( 1 / 34 ) | 17060247.0192308 | 332599.027448807 | 51.2937369363074 |
Winsorized Mean ( 2 / 34 ) | 17069165.8653846 | 329596.785719122 | 51.7880228356678 |
Winsorized Mean ( 3 / 34 ) | 17064072.7884615 | 327178.627194839 | 52.1552184956742 |
Winsorized Mean ( 4 / 34 ) | 17068533.5576923 | 325451.286946435 | 52.4457399380374 |
Winsorized Mean ( 5 / 34 ) | 17070293.1730769 | 323646.261701265 | 52.7436747866202 |
Winsorized Mean ( 6 / 34 ) | 17082177.2115385 | 321571.188168134 | 53.12098172989 |
Winsorized Mean ( 7 / 34 ) | 17082871.0865385 | 320594.017365032 | 53.2850588633653 |
Winsorized Mean ( 8 / 34 ) | 17111809.625 | 315433.837603406 | 54.2484907612056 |
Winsorized Mean ( 9 / 34 ) | 17090235.5865385 | 304923.954912188 | 56.0475335283516 |
Winsorized Mean ( 10 / 34 ) | 17084293.2788462 | 302459.727512369 | 56.4845224829065 |
Winsorized Mean ( 11 / 34 ) | 17086398.0865385 | 300443.261581099 | 56.8706317346589 |
Winsorized Mean ( 12 / 34 ) | 17085413.0480769 | 289768.806138997 | 58.9622232832107 |
Winsorized Mean ( 13 / 34 ) | 17101758.9230769 | 282114.31676502 | 60.6199611532705 |
Winsorized Mean ( 14 / 34 ) | 17128434.9807692 | 274794.54898593 | 62.3317858522959 |
Winsorized Mean ( 15 / 34 ) | 17053509.8365385 | 258676.455543205 | 65.9260225316104 |
Winsorized Mean ( 16 / 34 ) | 17059092.2980769 | 256371.252085296 | 66.540581907371 |
Winsorized Mean ( 17 / 34 ) | 17049855.5769231 | 247199.927931354 | 68.9719277817011 |
Winsorized Mean ( 18 / 34 ) | 17014827.0576923 | 241708.665911977 | 70.3939471656702 |
Winsorized Mean ( 19 / 34 ) | 17063297.8846154 | 227912.043886804 | 74.8679077841543 |
Winsorized Mean ( 20 / 34 ) | 17049201.7307692 | 224695.340154644 | 75.876970652953 |
Winsorized Mean ( 21 / 34 ) | 17042408.6346154 | 217267.543704096 | 78.4397353790955 |
Winsorized Mean ( 22 / 34 ) | 17034419.0384615 | 215215.838659661 | 79.1503968506681 |
Winsorized Mean ( 23 / 34 ) | 17046868.8942308 | 212531.945630639 | 80.2085015673674 |
Winsorized Mean ( 24 / 34 ) | 17058314.125 | 208695.372102284 | 81.7378648753147 |
Winsorized Mean ( 25 / 34 ) | 17015380.4711538 | 193052.516246439 | 88.1386101667435 |
Winsorized Mean ( 26 / 34 ) | 16997971.4711538 | 190608.077229461 | 89.177603164692 |
Winsorized Mean ( 27 / 34 ) | 16979330.0480769 | 185776.427795148 | 91.3965794777779 |
Winsorized Mean ( 28 / 34 ) | 17002738.0480769 | 182804.804753524 | 93.0103454939367 |
Winsorized Mean ( 29 / 34 ) | 17014706.9615385 | 179834.132048624 | 94.6133348976156 |
Winsorized Mean ( 30 / 34 ) | 17019506.3846154 | 179204.634011746 | 94.972468086399 |
Winsorized Mean ( 31 / 34 ) | 16963783.5865385 | 168889.230860071 | 100.443252066163 |
Winsorized Mean ( 32 / 34 ) | 16972546.6634615 | 161938.100600853 | 104.808853509377 |
Winsorized Mean ( 33 / 34 ) | 17008293.5961538 | 146377.368165416 | 116.194831272915 |
Winsorized Mean ( 34 / 34 ) | 17078218.5192308 | 136389.638705397 | 125.216392398545 |
Trimmed Mean ( 1 / 34 ) | 17066981.2745098 | 326647.010131861 | 52.2490050272317 |
Trimmed Mean ( 2 / 34 ) | 17073984.9 | 319945.9301827 | 53.365219836521 |
Trimmed Mean ( 3 / 34 ) | 17076541.9387755 | 314171.955424225 | 54.3541256434463 |
Trimmed Mean ( 4 / 34 ) | 17081044.6875 | 308648.74610582 | 55.3413707426622 |
Trimmed Mean ( 5 / 34 ) | 17084505.212766 | 302954.849954156 | 56.3929087629765 |
Trimmed Mean ( 6 / 34 ) | 17087718.3695652 | 296985.011483047 | 57.5373089848362 |
Trimmed Mean ( 7 / 34 ) | 17088785.5555556 | 290692.33985163 | 58.786501096925 |
Trimmed Mean ( 8 / 34 ) | 17089784.1022727 | 283716.842779383 | 60.235352737101 |
Trimmed Mean ( 9 / 34 ) | 17086454.6627907 | 276797.644461605 | 61.7290464881857 |
Trimmed Mean ( 10 / 34 ) | 17085934.5357143 | 270895.111739813 | 63.0721404531095 |
Trimmed Mean ( 11 / 34 ) | 17086142.695122 | 264535.972636535 | 64.5891087130061 |
Trimmed Mean ( 12 / 34 ) | 17086112.5125 | 257530.360507439 | 66.3460124811438 |
Trimmed Mean ( 13 / 34 ) | 17086190.2307692 | 251247.381219795 | 68.0054460580505 |
Trimmed Mean ( 14 / 34 ) | 17084551.4210526 | 245203.473596163 | 69.6749975458747 |
Trimmed Mean ( 15 / 34 ) | 17084551.4210526 | 239321.032439784 | 71.3875886581399 |
Trimmed Mean ( 16 / 34 ) | 17082711.0972222 | 234967.896342135 | 72.7023196068802 |
Trimmed Mean ( 17 / 34 ) | 17084904.2714286 | 230161.061825327 | 74.2302113829949 |
Trimmed Mean ( 18 / 34 ) | 17088057.4411765 | 225854.419171324 | 75.6596107522437 |
Trimmed Mean ( 19 / 34 ) | 17094468.1818182 | 221518.329656538 | 77.1695426212493 |
Trimmed Mean ( 20 / 34 ) | 17097134.0625 | 218388.45695098 | 78.2877185964901 |
Trimmed Mean ( 21 / 34 ) | 17101154.1935484 | 215023.370577866 | 79.5316069485367 |
Trimmed Mean ( 22 / 34 ) | 17106003.0333333 | 211992.184269027 | 80.6916683854019 |
Trimmed Mean ( 23 / 34 ) | 17111837.4655172 | 208516.93796503 | 82.0644962107923 |
Trimmed Mean ( 24 / 34 ) | 17117083.375 | 204601.533486797 | 83.6605820264027 |
Trimmed Mean ( 25 / 34 ) | 17121799.4259259 | 200323.730408087 | 85.4706498877915 |
Trimmed Mean ( 26 / 34 ) | 17130312.9423077 | 197481.239256815 | 86.7440016417484 |
Trimmed Mean ( 27 / 34 ) | 17140900.26 | 194158.141345177 | 88.2831909145992 |
Trimmed Mean ( 28 / 34 ) | 17153865.7708333 | 190624.663231458 | 89.987651545409 |
Trimmed Mean ( 29 / 34 ) | 17166068.6304348 | 186539.134379299 | 92.0239535127798 |
Trimmed Mean ( 30 / 34 ) | 17166068.6304348 | 181720.911842314 | 94.4639142320087 |
Trimmed Mean ( 31 / 34 ) | 17191520.7857143 | 175436.188822613 | 97.9930133063766 |
Trimmed Mean ( 32 / 34 ) | 17210621.325 | 169206.794188412 | 101.713535839677 |
Trimmed Mean ( 33 / 34 ) | 17230982.9736842 | 162400.190391754 | 106.101987516876 |
Trimmed Mean ( 34 / 34 ) | 17250477.6666667 | 157056.741758431 | 109.835957842546 |
Median | 17375886.5 | ||
Midrange | 22291550 | ||
Midmean - Weighted Average at Xnp | 17081079.2830189 | ||
Midmean - Weighted Average at X(n+1)p | 17130312.9423077 | ||
Midmean - Empirical Distribution Function | 17081079.2830189 | ||
Midmean - Empirical Distribution Function - Averaging | 17130312.9423077 | ||
Midmean - Empirical Distribution Function - Interpolation | 17130312.9423077 | ||
Midmean - Closest Observation | 17081079.2830189 | ||
Midmean - True Basic - Statistics Graphics Toolkit | 17130312.9423077 | ||
Midmean - MS Excel (old versions) | 17121799.4259259 | ||
Number of observations | 104 |
Percentiles - Ungrouped Data | ||||||||
p | Weighted Average at Xnp | Weighted Average at X(n+1)p | Empirical Distribution Function | Empirical Distribution Function - Averaging | Empirical Distribution Function - Interpolation | Closest Observation | True Basic - Statistics Graphics Toolkit | MS Excel (old versions) |
0.01 | 10066504 | 10067655 | 10177000 | 10177000 | 10196310.4 | 10061900 | 10171245 | 10061900 |
0.02 | 10228494.4 | 10241368 | 10820680 | 10820680 | 10829682.4 | 10177000 | 10756312 | 10177000 |
0.03 | 10838684.8 | 10843186 | 10970720 | 10970720 | 10987440.2 | 10820680 | 10948214 | 10820680 |
0.04 | 11000444.8 | 11007876 | 11156500 | 11156500 | 11171836 | 10970720 | 11119344 | 10970720 |
0.05 | 11182060 | 11188450 | 11284300 | 11284300 | 11315513.5 | 11156500 | 11252350 | 11156500 |
0.06 | 11334241.6 | 11346727 | 11492390 | 11492390 | 11501131.34 | 11284300 | 11429963 | 11284300 |
0.07 | 11505987.64 | 11509387.05 | 11540953 | 11540953 | 11623471.87 | 11492390 | 11523955.95 | 11492390 |
0.08 | 11666696.04 | 11698131.8 | 11933900 | 11933900 | 11994692 | 11540953 | 11776721.2 | 11540953 |
0.09 | 12025088 | 12047885 | 12187200 | 12187200 | 12201024 | 11933900 | 12073215 | 11933900 |
0.1 | 12207680 | 12212800 | 12238400 | 12238400 | 12259850 | 12187200 | 12212800 | 12212800 |
0.11 | 12269860 | 12277725 | 12309900 | 12309900 | 12408801 | 12238400 | 12270575 | 12309900 |
0.12 | 12453756 | 12489720 | 12609600 | 12609600 | 12707541.96 | 12309900 | 12429780 | 12609600 |
0.13 | 12751071.72 | 12786439.65 | 12881661 | 12881661 | 12993957.21 | 12881661 | 12704821.35 | 12881661 |
0.14 | 13042906.84 | 13083218.3 | 13169600 | 13169600 | 13225885.88 | 13169600 | 12968042.7 | 13169600 |
0.15 | 13250008.4 | 13270110.5 | 13303614 | 13303614 | 13336097.7 | 13303614 | 13203103.5 | 13303614 |
0.16 | 13349813.04 | 13361362.8 | 13375800 | 13375800 | 13461498.72 | 13375800 | 13318051.2 | 13375800 |
0.17 | 13497206.52 | 13527558.15 | 13554339 | 13554339 | 13564930.17 | 13554339 | 13402580.85 | 13554339 |
0.18 | 13569291.24 | 13573029.3 | 13575106 | 13575106 | 13800671.56 | 13575106 | 13556415.7 | 13575106 |
0.19 | 13892568.64 | 13971934.3 | 13992820 | 13992820 | 14009635 | 13992820 | 13595991.7 | 13992820 |
0.2 | 14016420 | 14022320 | 14022320 | 14022320 | 14099814.8 | 14022320 | 14022320 | 14022320 |
0.21 | 14130812.72 | 14152504.55 | 14151478 | 14151478 | 14164412.53 | 14151478 | 14170982.45 | 14151478 |
0.22 | 14169545.28 | 14179608.5 | 14172009 | 14172009 | 14222165.7 | 14172009 | 14240404.5 | 14172009 |
0.23 | 14241924.4 | 14261698.4 | 14248004 | 14248004 | 14310998.24 | 14248004 | 14325605.6 | 14248004 |
0.24 | 14335648.16 | 14375625.8 | 14339300 | 14339300 | 14470072.88 | 14339300 | 14484603.2 | 14339300 |
0.25 | 14520929 | 14522921.75 | 14520929 | 14524914.5 | 14526907.25 | 14520929 | 14526907.25 | 14520929 |
0.26 | 14530694 | 14542355 | 14573750 | 14573750 | 14563883 | 14528900 | 14560295 | 14528900 |
0.27 | 14580762 | 14604427.5 | 14661400 | 14661400 | 14644746.5 | 14573750 | 14630722.5 | 14573750 |
0.28 | 14669280.4 | 14687668 | 14727070 | 14727070 | 14716562.8 | 14661400 | 14700802 | 14661400 |
0.29 | 14729820.56 | 14734805.95 | 14744261 | 14744261 | 14742026.17 | 14727070 | 14736525.05 | 14727070 |
0.3 | 14756592.8 | 14775090.5 | 14805920 | 14805920 | 14799754.1 | 14744261 | 14775090.5 | 14775090.5 |
0.31 | 14832699.2 | 14867289 | 14917500 | 14917500 | 14909689.4 | 14805920 | 14856131 | 14917500 |
0.32 | 14992611.96 | 15078454.2 | 15185757 | 15185757 | 15175026.72 | 14917500 | 15024802.8 | 15185757 |
0.33 | 15261354.76 | 15339314.95 | 15422000 | 15422000 | 15419637.57 | 15185757 | 15268442.05 | 15422000 |
0.34 | 15427336.64 | 15432376.8 | 15436824 | 15436824 | 15439319.52 | 15422000 | 15426447.2 | 15436824 |
0.35 | 15486734.4 | 15530406 | 15561600 | 15561600 | 15567788 | 15436824 | 15468018 | 15561600 |
0.36 | 15616054.4 | 15660608 | 15685360 | 15685360 | 15693659.2 | 15561600 | 15586352 | 15685360 |
0.37 | 15735155.2 | 15773539 | 15789100 | 15789100 | 15798978 | 15685360 | 15700921 | 15789100 |
0.38 | 15835796 | 15869920 | 15878900 | 15878900 | 15878942 | 15878900 | 15798080 | 15878900 |
0.39 | 15879068 | 15879185 | 15879200 | 15879200 | 16002178 | 15879200 | 15878915 | 15879200 |
0.4 | 16313240 | 16602600 | 16602600 | 16602600 | 16629322 | 16602600 | 16602600 | 16602600 |
0.41 | 16688110.4 | 16746460.35 | 16736210 | 16736210 | 16783361.61 | 16736210 | 16930966.65 | 16736210 |
0.42 | 16875614.76 | 16942895.3 | 16941217 | 16941217 | 16945580.58 | 16941217 | 16956321.7 | 16941217 |
0.43 | 16953300.76 | 16964709.5 | 16958000 | 16958000 | 16970971.7 | 16958000 | 16996020.5 | 16958000 |
0.44 | 16991994.8 | 17003853.4 | 17002730 | 17002730 | 17004527.44 | 17002730 | 17007223.6 | 17002730 |
0.45 | 17007223.6 | 17039060.25 | 17008347 | 17008347 | 17051345.55 | 17008347 | 17100486.75 | 17008347 |
0.46 | 17111543.52 | 17131770 | 17131200 | 17131200 | 17131922 | 17131200 | 17132530 | 17131200 |
0.47 | 17132872 | 17136386.5 | 17133100 | 17133100 | 17136949.9 | 17133100 | 17139203.5 | 17133100 |
0.48 | 17141738.8 | 17200174 | 17142490 | 17142490 | 17205942.4 | 17142490 | 17229016 | 17142490 |
0.49 | 17280931.6 | 17309160.85 | 17286700 | 17286700 | 17310159.11 | 17286700 | 17314152.15 | 17286700 |
0.5 | 17336613 | 17375886.5 | 17336613 | 17375886.5 | 17375886.5 | 17336613 | 17375886.5 | 17375886.5 |
0.51 | 17422280.52 | 17513067.15 | 17593173 | 17593173 | 17509506.89 | 17415160 | 17495265.85 | 17593173 |
0.52 | 17594119.16 | 17600269.2 | 17605000 | 17605000 | 17599796.12 | 17593173 | 17597903.8 | 17605000 |
0.53 | 17608463.08 | 17623758.35 | 17633859 | 17633859 | 17622026.81 | 17605000 | 17615100.65 | 17633859 |
0.54 | 17660558.84 | 17750670.8 | 17800733 | 17800733 | 17737320.88 | 17633859 | 17683921.2 | 17800733 |
0.55 | 17810346.4 | 17836783.25 | 17848800 | 17848800 | 17831976.55 | 17800733 | 17812749.75 | 17848800 |
0.56 | 17852877.6 | 17862392 | 17865790 | 17865790 | 17860353.2 | 17848800 | 17852198 | 17865790 |
0.57 | 17883715.6 | 17920207 | 17929810 | 17929810 | 17911244.2 | 17865790 | 17875393 | 17929810 |
0.58 | 17936328.4 | 17948143 | 17950180 | 17950180 | 17944883.8 | 17929810 | 17931847 | 17950180 |
0.59 | 17950822.6 | 17951875.75 | 17951965 | 17951965 | 17951554.45 | 17950180 | 17950269.25 | 17951965 |
0.6 | 17993579 | 18056000 | 18056000 | 18056000 | 18035193 | 17951965 | 18056000 | 18056000 |
0.61 | 18065460 | 18081360 | 18077500 | 18077500 | 18073845 | 18056000 | 18150840 | 18077500 |
0.62 | 18114556 | 18158118 | 18154700 | 18154700 | 18143892 | 18077500 | 18185462 | 18154700 |
0.63 | 18172473.6 | 18230509.5 | 18188880 | 18188880 | 18185120.2 | 18188880 | 18424780.5 | 18188880 |
0.64 | 18344296.8 | 18468048 | 18466410 | 18466410 | 18444207.6 | 18466410 | 18472962 | 18466410 |
0.65 | 18471324 | 18486050 | 18474600 | 18474600 | 18474190.5 | 18474600 | 18508950 | 18474600 |
0.66 | 18503912 | 18529893.5 | 18520400 | 18520400 | 18519484 | 18520400 | 18542551.5 | 18520400 |
0.67 | 18541918.6 | 18559869.25 | 18552045 | 18552045 | 18552268.55 | 18552045 | 18566575.75 | 18552045 |
0.68 | 18568140.6 | 18636640 | 18574400 | 18574400 | 18580624 | 18574400 | 18667760 | 18574400 |
0.69 | 18692656 | 18767395 | 18730000 | 18730000 | 18735817 | 18730000 | 18775705 | 18730000 |
0.7 | 18796480 | 18937400 | 18813100 | 18813100 | 18837960 | 18813100 | 18937400 | 18937400 |
0.71 | 19021924 | 19062004.15 | 19061700 | 19061700 | 19061771.89 | 19061700 | 19061948.85 | 19062253 |
0.72 | 19062186.64 | 19075901.2 | 19062253 | 19062253 | 19065892.52 | 19062253 | 19071351.8 | 19085000 |
0.73 | 19083180.24 | 19085458.9 | 19085000 | 19085000 | 19085134.14 | 19085000 | 19085247.1 | 19085706 |
0.74 | 19085677.76 | 19167363.8 | 19085706 | 19085706 | 19111369.88 | 19085706 | 19120702.2 | 19202360 |
0.75 | 19202360 | 19260565.25 | 19202360 | 19241163.5 | 19221761.75 | 19202360 | 19221761.75 | 19279967 |
0.76 | 19294376.32 | 19568153.4 | 19640200 | 19640200 | 19380832.24 | 19279967 | 19352013.6 | 19640200 |
0.77 | 19643536 | 19675645 | 19681900 | 19681900 | 19653127 | 19640200 | 19646455 | 19681900 |
0.78 | 19684264 | 19699630 | 19701600 | 19701600 | 19688598 | 19681900 | 19683870 | 19701600 |
0.79 | 19710928 | 19756985 | 19759900 | 19759900 | 19723171 | 19701600 | 19704515 | 19759900 |
0.8 | 19792460 | 19922700 | 19922700 | 19922700 | 19825020 | 19759900 | 19922700 | 19922700 |
0.81 | 19947372 | 20033120 | 20025500 | 20025500 | 19966904 | 19922700 | 20170280 | 20025500 |
0.82 | 20068172 | 20200215.4 | 20177900 | 20177900 | 20095604 | 20025500 | 20378738.6 | 20177900 |
0.83 | 20249309.28 | 20436310.9 | 20401054 | 20401054 | 20287245.46 | 20177900 | 20600843.1 | 20401054 |
0.84 | 20485670.56 | 20643280 | 20636100 | 20636100 | 20523277.92 | 20401054 | 20664820 | 20636100 |
0.85 | 20650460 | 20835373.75 | 20672000 | 20672000 | 20655845 | 20636100 | 21162121.25 | 20672000 |
0.86 | 20959537.8 | 21352427.2 | 21325495 | 21325495 | 21051027.1 | 20672000 | 21388336.8 | 21325495 |
0.87 | 21368586.52 | 21464721.9 | 21415269 | 21415269 | 21380257.14 | 21325495 | 21507110.1 | 21415269 |
0.88 | 21488741.88 | 21679857.8 | 21556563 | 21556563 | 21505697.16 | 21556563 | 21741505.2 | 21556563 |
0.89 | 21729175.72 | 21888020 | 21864800 | 21864800 | 21763081.79 | 21864800 | 21893180 | 21864800 |
0.9 | 21895760 | 21972900 | 21916400 | 21916400 | 21900920 | 21916400 | 21972900 | 21972900 |
0.91 | 21988720 | 22305830 | 22029400 | 22029400 | 21998890 | 22029400 | 22255570 | 22532000 |
0.92 | 22371168 | 22542047.6 | 22532000 | 22532000 | 22411376 | 22532000 | 22538698.4 | 22548746 |
0.93 | 22544057.12 | 22573611.1 | 22548746 | 22548746 | 22545229.34 | 22548746 | 22562134.9 | 22587000 |
0.94 | 22577819.04 | 22588470 | 22587000 | 22587000 | 22580114.28 | 22587000 | 22587630 | 22589100 |
0.95 | 22588680 | 22657500 | 22589100 | 22589100 | 22588785 | 22589100 | 22611900 | 22680300 |
0.96 | 22665708 | 22736140 | 22680300 | 22680300 | 22669356 | 22680300 | 22694260 | 22750100 |
0.97 | 22741724 | 23027710 | 22750100 | 22750100 | 22743818 | 22750100 | 22799090 | 23076700 |
0.98 | 23050572 | 23238610 | 23076700 | 23076700 | 23057104 | 23076700 | 23094690 | 23256600 |
0.99 | 23249404 | 33957970 | 23256600 | 23256600 | 23251203 | 23256600 | 23819830 | 34521200 |
Frequency Table (Histogram) | |||||
Bins | Midpoint | Abs. Frequency | Rel. Frequency | Cumul. Rel. Freq. | Density |
[1e+07,1.5e+07[ | 12500000 | 33 | 0.317308 | 0.317308 | 0 |
[1.5e+07,2e+07[ | 17500000 | 51 | 0.490385 | 0.807692 | 0 |
[2e+07,2.5e+07[ | 22500000 | 19 | 0.182692 | 0.990385 | 0 |
[2.5e+07,3e+07[ | 27500000 | 0 | 0 | 0.990385 | 0 |
[3e+07,3.5e+07] | 32500000 | 1 | 0.009615 | 1 | 0 |
Properties of Density Trace | |
Bandwidth | 1245527.09813467 |
#Observations | 104 |