opgave5oef2

*Unverified author*

R Software Module: /rwasp_centraltendency.wasp (opens new window with default values)

Title produced by software: Central Tendency

Date of computation: Fri, 26 Mar 2010 10:23:46 +0000

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Mar/26/t1269599144bwn2cnes7lzt7ke.htm/, Retrieved Fri, 26 Mar 2010 11:25:47 +0100

BibTeX entries for LaTeX users:

@Manual{KEY, author = {{YOUR NAME}}, publisher = {Office for Research Development and Education}, title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2010/Mar/26/t1269599144bwn2cnes7lzt7ke.htm/}, year = {2010}, } @Manual{R, title = {R: A Language and Environment for Statistical Computing}, author = {{R Development Core Team}}, organization = {R Foundation for Statistical Computing}, address = {Vienna, Austria}, year = {2010}, note = {{ISBN} 3-900051-07-0}, url = {http://www.R-project.org}, }

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords:

KDGP1W52

Dataseries X:

» Textbox « » Textfile « » CSV «

196.9 192.1 201.8 186.9 218,0 214.4 227.5 204.1 225.8 223.7 244.7 243.9 257.3 234.5 251.4 243.8 247.4 245.3 262.5 270,0 259.9 262.2 244.9 249.3 268.2 231.2 264.3 252.7 275.5 261.5 275.5 272.3 268.6 270.4 267.7 275,0 272.6 248.6 279.4 270.5 292.8 297.8 296.8 290.9 282.8 312.8 303.2 301.4 289.8 279.6 302.2 299.1 319.7 310.9 315.2 338.5 315.6 321.2 318.5 342.7 261.4 287,0 331.5 326.9 338.6 337,0 358.4 344.5 345.7 344.1 317.4 354.5 345.2 314.1 352.5 361.2 365.9 332.5 364,0 359.1 345.6 366.9 370.2 359.9 366.6 336.3 368.5 374.2 384.3 358.9 407.7 433.3 404.7 392.7 409.7 416.5 414.3 404.3 421.4 372.6 404.7 420.2 438.4 449.1 445.8 413.8 420.5 442.3 438.9 394.5 416.8 402.9 424.5 432.3 484.1 492.7 496.3 471.9 491.2 512.9 482.4 407.9 448.5 431.1 498.8 497.1 517.1 487.7 512.5 550.1 532.5 524.1 515.7 461,0 529.3 467.4 559.8 536.5 531.9 546.5 547.4 536.1 482.8 551,0 532.9 484.1 etc...

Output produced by software:

Summary of computational transaction Raw Input view raw input (R code) Raw Output view raw output of R engine Computing time 7 seconds R Server 'Gwilym Jenkins' @ 72.249.127.135 Central Tendency - Ungrouped Data Measure Value S.E. Value/S.E. Arithmetic Mean 508.025934065934 6.18310674292651 82.1635393319251 Geometric Mean 487.520702458463 Harmonic Mean 463.125436330392 Quadratic Mean 524.830579298723 Winsorized Mean ( 1 / 151 ) 508.009010989011 6.17929461301103 82.2114889811784 Winsorized Mean ( 2 / 151 ) 508.021758241758 6.17621690814674 82.254520169402 Winsorized Mean ( 3 / 151 ) 508.052747252747 6.17254603927667 82.3084581337985 Winsorized Mean ( 4 / 151 ) 507.962197802198 6.16108121752201 82.4469244712376 Winsorized Mean ( 5 / 151 ) 508.073186813187 6.14880034783805 82.629644495097 Winsorized Mean ( 6 / 151 ) 508.11010989011 6.14297549308742 82.7140056902192 Winsorized Mean ( 7 / 151 ) 508.191648351648 6.13343475328443 82.8559638756267 Winsorized Mean ( 8 / 151 ) 508.209230769231 6.12810665310393 82.9308723783094 Winsorized Mean ( 9 / 151 ) 508.143956043956 6.11677964907205 83.0737716898213 Winsorized Mean ( 10 / 151 ) 508.205494505495 6.10704243916383 83.2163030743696 Winsorized Mean ( 11 / 151 ) 508.053186813187 6.0811134991663 83.5460786717497 Winsorized Mean ( 12 / 151 ) 508.156043956044 6.04644255690359 84.042151922183 Winsorized Mean ( 13 / 151 ) 507.976043956044 6.03275401210046 84.2030095934873 Winsorized Mean ( 14 / 151 ) 507.994505494506 6.0299388184742 84.2453830440435 Winsorized Mean ( 15 / 151 ) 507.991208791209 6.02859069916451 84.2636752336845 Winsorized Mean ( 16 / 151 ) 507.980659340659 6.0254656409413 84.305627085329 Winsorized Mean ( 17 / 151 ) 508.055384615385 6.01768674254983 84.4270242621685 Winsorized Mean ( 18 / 151 ) 507.762637362637 5.98913182996147 84.7806746918616 Winsorized Mean ( 19 / 151 ) 507.766813186813 5.98461513246872 84.845357963287 Winsorized Mean ( 20 / 151 ) 507.78 5.97041210713722 85.0494054494134 Winsorized Mean ( 21 / 151 ) 507.761538461538 5.9593839887124 85.2036954529669 Winsorized Mean ( 22 / 151 ) 507.979120879121 5.9382296102495 85.5438664753446 Winsorized Mean ( 23 / 151 ) 508.04989010989 5.92192425634415 85.7913522898603 Winsorized Mean ( 24 / 151 ) 508.081538461538 5.91141691180961 85.9491972976077 Winsorized Mean ( 25 / 151 ) 508.070549450549 5.90979656433925 85.9709033837706 Winsorized Mean ( 26 / 151 ) 507.893406593407 5.89156225342887 86.2069150330736 Winsorized Mean ( 27 / 151 ) 507.887472527473 5.8883510277811 86.2529204069648 Winsorized Mean ( 28 / 151 ) 507.629010989011 5.85401865224765 86.7146213813492 Winsorized Mean ( 29 / 151 ) 507.82021978022 5.83262608989356 87.0654507855632 Winsorized Mean ( 30 / 151 ) 507.747692307692 5.82284678092707 87.1992191123485 Winsorized Mean ( 31 / 151 ) 507.706813186813 5.81601808493813 87.2945726392482 Winsorized Mean ( 32 / 151 ) 507.741978021978 5.80308274273 87.4952159967163 Winsorized Mean ( 33 / 151 ) 507.756483516484 5.79954338568728 87.5511138979628 Winsorized Mean ( 34 / 151 ) 507.741538461538 5.7974451244549 87.5802232814198 Winsorized Mean ( 35 / 151 ) 507.849230769231 5.78304021539609 87.816997955019 Winsorized Mean ( 36 / 151 ) 507.849230769231 5.77940563067873 87.8722247965123 Winsorized Mean ( 37 / 151 ) 507.873626373626 5.7511693587615 88.3078891773403 Winsorized Mean ( 38 / 151 ) 507.856923076923 5.74377497296681 88.4186663765836 Winsorized Mean ( 39 / 151 ) 507.625494505494 5.72935211401224 88.6008547570323 Winsorized Mean ( 40 / 151 ) 507.95956043956 5.69836295343608 89.1413138458062 Winsorized Mean ( 41 / 151 ) 507.689230769231 5.67899788505093 89.3976791408292 Winsorized Mean ( 42 / 151 ) 507.836923076923 5.64394884711217 89.9790088169858 Winsorized Mean ( 43 / 151 ) 508.214945054945 5.60812333898447 90.6212139669122 Winsorized Mean ( 44 / 151 ) 508.418021978022 5.58054887014826 91.1053793826045 Winsorized Mean ( 45 / 151 ) 508.358681318681 5.56095468314466 91.4157209120089 Winsorized Mean ( 46 / 151 ) 508.520439560440 5.54261201942114 91.7474356456126 Winsorized Mean ( 47 / 151 ) 508.861318681319 5.50298554219125 92.4700446293911 Winsorized Mean ( 48 / 151 ) 508.892967032967 5.48957278748014 92.7017432383044 Winsorized Mean ( 49 / 151 ) 508.871428571429 5.46799579508455 93.0636100760864 Winsorized Mean ( 50 / 151 ) 508.860439560440 5.43091384858303 93.6970192766371 Winsorized Mean ( 51 / 151 ) 508.905274725275 5.42070878985269 93.881684933513 Winsorized Mean ( 52 / 151 ) 508.882417582418 5.40298475588784 94.1854253850834 Winsorized Mean ( 53 / 151 ) 509.616263736264 5.31881824870936 95.8138142546843 Winsorized Mean ( 54 / 151 ) 509.628131868132 5.28768944616663 96.3801178296492 Winsorized Mean ( 55 / 151 ) 509.761098901099 5.27340404744587 96.6664215968806 Winsorized Mean ( 56 / 151 ) 509.231868131868 5.22373061267817 97.484327942935 Winsorized Mean ( 57 / 151 ) 509.281978021978 5.21963292822458 97.5704585025688 Winsorized Mean ( 58 / 151 ) 509.294725274725 5.18852224336163 98.1579535341365 Winsorized Mean ( 59 / 151 ) 509.113186813187 5.15854491744434 98.6931770413687 Winsorized Mean ( 60 / 151 ) 509.192307692308 5.14123030359447 99.0409449925455 Winsorized Mean ( 61 / 151 ) 509.312967032967 5.1204123008295 99.467179029794 Winsorized Mean ( 62 / 151 ) 509.980659340659 5.05185840265092 100.949119847273 Winsorized Mean ( 63 / 151 ) 510.534505494506 4.99662383389461 102.175893656691 Winsorized Mean ( 64 / 151 ) 510.618901098901 4.98236522108283 102.485241133713 Winsorized Mean ( 65 / 151 ) 511.147472527473 4.93901988119205 103.491681512346 Winsorized Mean ( 66 / 151 ) 511.147472527473 4.92537541838408 103.778378115017 Winsorized Mean ( 67 / 151 ) 511.338901098901 4.90654455909025 104.215684773830 Winsorized Mean ( 68 / 151 ) 511.12967032967 4.89278551508035 104.465987473656 Winsorized Mean ( 69 / 151 ) 511.705934065934 4.8421870170002 105.676615188428 Winsorized Mean ( 70 / 151 ) 511.844395604396 4.82133544937129 106.162369530032 Winsorized Mean ( 71 / 151 ) 511.844395604396 4.81305308490423 106.345055118913 Winsorized Mean ( 72 / 151 ) 511.923516483516 4.80280325429339 106.588483720604 Winsorized Mean ( 73 / 151 ) 511.49032967033 4.77023393633691 107.225418395959 Winsorized Mean ( 74 / 151 ) 511.457802197802 4.76629757088881 107.307148702096 Winsorized Mean ( 75 / 151 ) 512.562197802198 4.68023093451986 109.516433050708 Winsorized Mean ( 76 / 151 ) 512.712527472528 4.64492530267203 110.381221238926 Winsorized Mean ( 77 / 151 ) 513.034065934066 4.57691275081749 112.091729483467 Winsorized Mean ( 78 / 151 ) 513.11978021978 4.5705381898006 112.266818241413 Winsorized Mean ( 79 / 151 ) 512.894065934066 4.55365364344592 112.633525975845 Winsorized Mean ( 80 / 151 ) 512.981978021978 4.5403135863036 112.983821110826 Winsorized Mean ( 81 / 151 ) 513.088791208791 4.51634036194921 113.607201868937 Winsorized Mean ( 82 / 151 ) 513.395164835165 4.46825890100849 114.898258182688 Winsorized Mean ( 83 / 151 ) 513.705274725275 4.44080274155489 115.678471803818 Winsorized Mean ( 84 / 151 ) 513.003736263736 4.38649943289244 116.950599016826 Winsorized Mean ( 85 / 151 ) 512.929010989011 4.37541780357879 117.229721598123 Winsorized Mean ( 86 / 151 ) 513.042417582418 4.34796335744711 117.996030648163 Winsorized Mean ( 87 / 151 ) 512.851208791209 4.33303087805616 118.358540066827 Winsorized Mean ( 88 / 151 ) 513.083296703297 4.30385170883706 119.214910599681 Winsorized Mean ( 89 / 151 ) 513.298461538462 4.28076462514325 119.908125413760 Winsorized Mean ( 90 / 151 ) 513.080879120879 4.24456625131492 120.879460642635 Winsorized Mean ( 91 / 151 ) 513.280879120879 4.21501700102903 121.774331869971 Winsorized Mean ( 92 / 151 ) 515.323076923077 4.06833845426358 126.666717313802 Winsorized Mean ( 93 / 151 ) 516.038461538462 3.98758279670776 129.411347136043 Winsorized Mean ( 94 / 151 ) 516.369010989011 3.91126633243708 132.020928032090 Winsorized Mean ( 95 / 151 ) 515.993186813187 3.84595312229429 134.165230413774 Winsorized Mean ( 96 / 151 ) 516.014285714286 3.81895455451436 135.119252755786 Winsorized Mean ( 97 / 151 ) 516.078241758242 3.81193959180658 135.384685231504 Winsorized Mean ( 98 / 151 ) 516.767472527473 3.76432019023605 137.280424196611 Winsorized Mean ( 99 / 151 ) 517.354945054945 3.69795373430317 139.903033468436 Winsorized Mean ( 100 / 151 ) 517.508791208791 3.66907790406454 141.046007945349 Winsorized Mean ( 101 / 151 ) 517.464395604396 3.65619541844197 141.530836397390 Winsorized Mean ( 102 / 151 ) 517.240219780220 3.64471848863439 141.914998755918 Winsorized Mean ( 103 / 151 ) 517.443956043956 3.62011251270363 142.935876779562 Winsorized Mean ( 104 / 151 ) 517.80967032967 3.59265502767722 144.130083835089 Winsorized Mean ( 105 / 151 ) 517.80967032967 3.58718109611792 144.350022052148 Winsorized Mean ( 106 / 151 ) 518.229010989011 3.55894726229483 145.613006542517 Winsorized Mean ( 107 / 151 ) 518.511208791209 3.53724095138005 146.586341139388 Winsorized Mean ( 108 / 151 ) 519.033406593407 3.48558410726429 148.908587663024 Winsorized Mean ( 109 / 151 ) 518.985494505494 3.48030310151052 149.120774647543 Winsorized Mean ( 110 / 151 ) 518.985494505494 3.48030310151052 149.120774647543 Winsorized Mean ( 111 / 151 ) 519.058681318681 3.47256513795038 149.474138194293 Winsorized Mean ( 112 / 151 ) 518.763296703297 3.43724627289468 150.924098978343 Winsorized Mean ( 113 / 151 ) 519.011648351648 3.40620960498437 152.372199171821 Winsorized Mean ( 114 / 151 ) 519.036703296703 3.39868564722432 152.71689034277 Winsorized Mean ( 115 / 151 ) 519.82021978022 3.33811683895105 155.722595960291 Winsorized Mean ( 116 / 151 ) 519.616263736264 3.31884739414164 156.565277648342 Winsorized Mean ( 117 / 151 ) 519.770549450549 3.2997320231373 157.519018455434 Winsorized Mean ( 118 / 151 ) 520.418901098901 3.23923236475477 160.661182186694 Winsorized Mean ( 119 / 151 ) 521.543516483517 3.13607241282855 166.304679174521 Winsorized Mean ( 120 / 151 ) 521.490769230769 3.09392814239384 168.552967370238 Winsorized Mean ( 121 / 151 ) 521.756703296703 3.07073147080125 169.912839418864 Winsorized Mean ( 122 / 151 ) 521.944395604396 3.04947441398086 171.158804681701 Winsorized Mean ( 123 / 151 ) 523.323076923077 2.96179242952087 176.691341265848 Winsorized Mean ( 124 / 151 ) 523.35032967033 2.94762630515278 177.549755461014 Winsorized Mean ( 125 / 151 ) 524.037142857143 2.87630140213882 182.191317803992 Winsorized Mean ( 126 / 151 ) 524.590989010989 2.81975660614215 186.041230604193 Winsorized Mean ( 127 / 151 ) 524.814285714286 2.8058899533445 187.040224114538 Winsorized Mean ( 128 / 151 ) 525.348791208791 2.74741470086606 191.215687621962 Winsorized Mean ( 129 / 151 ) 525.462197802198 2.73403916918587 192.192637078666 Winsorized Mean ( 130 / 151 ) 526.005054945055 2.70073642541233 194.763565224529 Winsorized Mean ( 131 / 151 ) 525.976263736264 2.69925765439782 194.859598852783 Winsorized Mean ( 132 / 151 ) 527.04967032967 2.62418112175293 200.843480642680 Winsorized Mean ( 133 / 151 ) 527.751208791209 2.56229956901088 205.967801413218 Winsorized Mean ( 134 / 151 ) 528.192967032967 2.51945144016469 209.646020007609 Winsorized Mean ( 135 / 151 ) 528.103956043956 2.48182798947329 212.788298900616 Winsorized Mean ( 136 / 151 ) 528.343076923077 2.46096944396234 214.689003237848 Winsorized Mean ( 137 / 151 ) 529.667912087912 2.34964539406173 225.424616593867 Winsorized Mean ( 138 / 151 ) 529.516263736264 2.3250999648994 227.73913884566 Winsorized Mean ( 139 / 151 ) 529.455164835165 2.31858998982028 228.352217149098 Winsorized Mean ( 140 / 151 ) 529.23978021978 2.30751387295781 229.354972215787 Winsorized Mean ( 141 / 151 ) 530.138461538462 2.22136624861174 238.654234469339 Winsorized Mean ( 142 / 151 ) 530.16967032967 2.21956434967771 238.862040835470 Winsorized Mean ( 143 / 151 ) 530.16967032967 2.18530395569140 242.606832312228 Winsorized Mean ( 144 / 151 ) 530.454505494505 2.16547592836747 244.959779300992 Winsorized Mean ( 145 / 151 ) 530.709450549450 2.14393410601854 247.540000907501 Winsorized Mean ( 146 / 151 ) 531.575824175824 2.04949828271534 259.368758031624 Winsorized Mean ( 147 / 151 ) 531.155824175824 2.02799705338427 261.911536453884 Winsorized Mean ( 148 / 151 ) 532.229230769231 1.96410182851874 270.978430466927 Winsorized Mean ( 149 / 151 ) 532.032747252747 1.94001665645482 274.241329569295 Winsorized Mean ( 150 / 151 ) 531.769010989011 1.91954706974580 277.028377876367 Winsorized Mean ( 151 / 151 ) 531.934945054945 1.89258625282244 281.062458454225 Trimmed Mean ( 1 / 151 ) 508.171081677704 6.14388501782389 82.7116849035196 Trimmed Mean ( 2 / 151 ) 508.334589800443 6.1075015165023 83.2311851952779 Trimmed Mean ( 3 / 151 ) 508.493095768374 6.07171926884614 83.7477942001438 Trimmed Mean ( 4 / 151 ) 508.642505592841 6.03624249968318 84.2647566958315 Trimmed Mean ( 5 / 151 ) 508.816404494382 6.00284975945378 84.7624753048427 Trimmed Mean ( 6 / 151 ) 508.969074492099 5.97120353686802 85.2372677215858 Trimmed Mean ( 7 / 151 ) 509.116780045351 5.93974585201912 85.7135629586383 Trimmed Mean ( 8 / 151 ) 509.253758542141 5.90893313080417 86.1837064777944 Trimmed Mean ( 9 / 151 ) 509.389702517162 5.87800916711039 86.6602429556225 Trimmed Mean ( 10 / 151 ) 509.534482758621 5.84765040137391 87.1349085162315 Trimmed Mean ( 11 / 151 ) 509.674133949192 5.81756410395703 87.6095432455172 Trimmed Mean ( 12 / 151 ) 509.82969837587 5.7893774233958 88.0629575670032 Trimmed Mean ( 13 / 151 ) 509.977622377622 5.76381112332019 88.479239077469 Trimmed Mean ( 14 / 151 ) 510.14168618267 5.7387555524324 88.8941307086069 Trimmed Mean ( 15 / 151 ) 510.305882352941 5.7132180187061 89.3202186022147 Trimmed Mean ( 16 / 151 ) 510.471867612293 5.68704669026716 89.7604495644316 Trimmed Mean ( 17 / 151 ) 510.640142517815 5.66035173704601 90.2135001921814 Trimmed Mean ( 18 / 151 ) 510.805250596659 5.63345432915001 90.6735407356591 Trimmed Mean ( 19 / 151 ) 510.9896882494 5.60776192288667 91.1218584661956 Trimmed Mean ( 20 / 151 ) 511.175662650602 5.58161034489276 91.5821118036901 Trimmed Mean ( 21 / 151 ) 511.362711864407 5.55560402124067 92.044485155767 Trimmed Mean ( 22 / 151 ) 511.552554744526 5.52950716050893 92.5132276521807 Trimmed Mean ( 23 / 151 ) 511.733251833741 5.50392543464899 92.9760509857591 Trimmed Mean ( 24 / 151 ) 511.912285012285 5.47853136510511 93.4396923001761 Trimmed Mean ( 25 / 151 ) 512.091604938272 5.45296389604212 93.9106905347308 Trimmed Mean ( 26 / 151 ) 512.273200992556 5.42670044812956 94.3986508724878 Trimmed Mean ( 27 / 151 ) 512.46433915212 5.40059753554728 94.8903034856843 Trimmed Mean ( 28 / 151 ) 512.657644110276 5.3738522748673 95.398536820206 Trimmed Mean ( 29 / 151 ) 512.657644110276 5.34801496147968 95.8594259370648 Trimmed Mean ( 30 / 151 ) 513.063797468354 5.32245748689693 96.3960348638647 Trimmed Mean ( 31 / 151 ) 513.063797468354 5.2965643483484 96.8672829639728 Trimmed Mean ( 32 / 151 ) 513.477749360614 5.27017164215510 97.4309347447818 Trimmed Mean ( 33 / 151 ) 513.687403598972 5.2435502582885 97.9655726169468 Trimmed Mean ( 34 / 151 ) 513.898708010336 5.21623808103102 98.5190284697973 Trimmed Mean ( 35 / 151 ) 514.112727272727 5.18813642084996 99.0939107164998 Trimmed Mean ( 36 / 151 ) 514.325326370757 5.15978402486323 99.6796230021256 Trimmed Mean ( 37 / 151 ) 514.540157480315 5.13066611070528 100.287203723258 Trimmed Mean ( 38 / 151 ) 514.756464379947 5.10183599494771 100.896317500152 Trimmed Mean ( 39 / 151 ) 514.975596816976 5.07237048591948 101.525627563387 Trimmed Mean ( 40 / 151 ) 515.204266666667 5.04251420834318 102.172100142867 Trimmed Mean ( 41 / 151 ) 515.425201072386 5.01301138132265 102.817480724808 Trimmed Mean ( 42 / 151 ) 515.656603773585 4.98329089117561 103.477122856044 Trimmed Mean ( 43 / 151 ) 515.886178861789 4.95403017890411 104.134645981488 Trimmed Mean ( 44 / 151 ) 516.107356948229 4.92528217532816 104.787368231109 Trimmed Mean ( 45 / 151 ) 516.325205479452 4.89668742163264 105.443774744213 Trimmed Mean ( 46 / 151 ) 516.547107438016 4.8678828989098 106.113297744632 Trimmed Mean ( 47 / 151 ) 516.76703601108 4.8388273116202 106.795924452623 Trimmed Mean ( 48 / 151 ) 516.980222841226 4.81035847253989 107.472286273970 Trimmed Mean ( 49 / 151 ) 517.194957983193 4.78141863623787 108.167679371019 Trimmed Mean ( 50 / 151 ) 517.412676056338 4.75229039188361 108.876485523701 Trimmed Mean ( 51 / 151 ) 517.633144475921 4.72354964118461 109.585626022151 Trimmed Mean ( 52 / 151 ) 517.854985754986 4.6941773515206 110.318581292468 Trimmed Mean ( 53 / 151 ) 518.07994269341 4.66441847608516 111.070639426897 Trimmed Mean ( 54 / 151 ) 518.289337175793 4.63684467982206 111.776298962786 Trimmed Mean ( 55 / 151 ) 518.500869565217 4.60942681384942 112.487059780912 Trimmed Mean ( 56 / 151 ) 518.71166180758 4.5815533143364 113.217423484836 Trimmed Mean ( 57 / 151 ) 518.937536656892 4.55440085915577 113.941998674461 Trimmed Mean ( 58 / 151 ) 518.937536656892 4.52639740669873 114.646923376393 Trimmed Mean ( 59 / 151 ) 519.394658753709 4.49848198532167 115.459984156537 Trimmed Mean ( 60 / 151 ) 519.631343283582 4.47057287326083 116.233726194595 Trimmed Mean ( 61 / 151 ) 519.869069069069 4.4422432004409 117.028502405602 Trimmed Mean ( 62 / 151 ) 519.869069069069 4.41360243149627 117.787924294945 Trimmed Mean ( 63 / 151 ) 520.33282674772 4.38642678188178 118.623392711572 Trimmed Mean ( 64 / 151 ) 520.549235474006 4.36024993447476 119.385182798406 Trimmed Mean ( 65 / 151 ) 520.766461538461 4.33357569389173 120.170154699846 Trimmed Mean ( 66 / 151 ) 520.974922600619 4.30747079217442 120.946826510605 Trimmed Mean ( 67 / 151 ) 521.185981308411 4.28082288545945 121.749017713092 Trimmed Mean ( 68 / 151 ) 521.395611285266 4.25381671719301 122.571245060441 Trimmed Mean ( 69 / 151 ) 521.612302839117 4.22618933047576 123.423789624777 Trimmed Mean ( 70 / 151 ) 521.819682539683 4.19932826539923 124.262655729791 Trimmed Mean ( 71 / 151 ) 522.026837060703 4.17214105994651 125.122048741898 Trimmed Mean ( 72 / 151 ) 522.236655948553 4.14414572665797 126.017927552396 Trimmed Mean ( 73 / 151 ) 522.447572815534 4.11538542080401 126.949852661301 Trimmed Mean ( 74 / 151 ) 522.67003257329 4.08651842010936 127.90105875977 Trimmed Mean ( 75 / 151 ) 522.89606557377 4.05658910634603 128.900426408917 Trimmed Mean ( 76 / 151 ) 523.10297029703 4.02865032815122 129.845712009731 Trimmed Mean ( 77 / 151 ) 523.309634551495 4.00080886348299 130.800958608134 Trimmed Mean ( 78 / 151 ) 523.5127090301 3.97422905117552 131.726858791708 Trimmed Mean ( 79 / 151 ) 523.716835016835 3.94676064633112 132.695362588983 Trimmed Mean ( 80 / 151 ) 523.92813559322 3.91867112119661 133.700461046405 Trimmed Mean ( 81 / 151 ) 524.140614334471 3.88985955680359 134.745382623832 Trimmed Mean ( 82 / 151 ) 524.353951890034 3.86066874499907 135.819461995867 Trimmed Mean ( 83 / 151 ) 524.564359861592 3.83196869500777 136.891608886311 Trimmed Mean ( 84 / 151 ) 524.771777003484 3.80304240307986 137.987358904677 Trimmed Mean ( 85 / 151 ) 524.995438596491 3.77462019923955 139.085632695512 Trimmed Mean ( 86 / 151 ) 525.223674911661 3.74530169784562 140.235344782446 Trimmed Mean ( 87 / 151 ) 525.453024911032 3.71566607438284 141.415567059079 Trimmed Mean ( 88 / 151 ) 525.689247311828 3.68517244660158 142.649836589496 Trimmed Mean ( 89 / 151 ) 525.924548736462 3.65438794626666 143.915905062501 Trimmed Mean ( 90 / 151 ) 526.159272727273 3.62306865257084 145.224759225560 Trimmed Mean ( 91 / 151 ) 526.401465201465 3.59155681002305 146.566375821322 Trimmed Mean ( 92 / 151 ) 526.643542435424 3.55969512163849 147.946249450997 Trimmed Mean ( 93 / 151 ) 526.851672862453 3.53217334905347 149.157932184624 Trimmed Mean ( 94 / 151 ) 527.049812734082 3.50640749468424 150.310485456439 Trimmed Mean ( 95 / 151 ) 527.244905660377 3.48220362354003 151.411279368085 Trimmed Mean ( 96 / 151 ) 527.449809885932 3.45905921702096 152.483602272697 Trimmed Mean ( 97 / 151 ) 527.657471264368 3.43574198499967 153.578898988371 Trimmed Mean ( 98 / 151 ) 527.867181467181 3.41153898288691 154.729928080871 Trimmed Mean ( 99 / 151 ) 528.067704280156 3.38800671837207 155.863830321414 Trimmed Mean ( 100 / 151 ) 528.260784313725 3.36580720508182 156.949210732016 Trimmed Mean ( 101 / 151 ) 528.454150197628 3.34355333363849 158.051658659370 Trimmed Mean ( 102 / 151 ) 528.651394422311 3.32061835313883 159.202696064906 Trimmed Mean ( 103 / 151 ) 528.855823293173 3.29686656633863 160.411655325347 Trimmed Mean ( 104 / 151 ) 529.05991902834 3.27283940721682 161.651658758975 Trimmed Mean ( 105 / 151 ) 529.260816326531 3.24866728687244 162.916288308508 Trimmed Mean ( 106 / 151 ) 529.465020576132 3.22342897902208 164.25521518292 Trimmed Mean ( 107 / 151 ) 529.665145228216 3.19803072839575 165.622281401253 Trimmed Mean ( 108 / 151 ) 529.86359832636 3.1721789904701 167.034584088156 Trimmed Mean ( 109 / 151 ) 530.05611814346 3.14705148590490 168.429439593693 Trimmed Mean ( 110 / 151 ) 530.252765957447 3.12075368734104 169.911764619026 Trimmed Mean ( 111 / 151 ) 530.452789699571 3.09301962473074 171.499975447375 Trimmed Mean ( 112 / 151 ) 530.654978354978 3.06408591082921 173.185411179079 Trimmed Mean ( 113 / 151 ) 530.865938864629 3.03487193816363 174.92202296544 Trimmed Mean ( 114 / 151 ) 531.076211453744 3.00534976958933 176.710284050004 Trimmed Mean ( 115 / 151 ) 531.289777777778 2.97446569327902 178.616878647570 Trimmed Mean ( 116 / 151 ) 531.289777777778 2.94457644474431 180.429949008816 Trimmed Mean ( 117 / 151 ) 531.493273542601 2.91369666692712 182.412012745009 Trimmed Mean ( 118 / 151 ) 531.91598173516 2.88187204847642 184.573073609001 Trimmed Mean ( 119 / 151 ) 532.120276497696 2.8509787980925 186.644768054298 Trimmed Mean ( 120 / 151 ) 532.308372093023 2.82301692876545 188.560106271063 Trimmed Mean ( 121 / 151 ) 532.500938967136 2.7951559206732 190.508491862195 Trimmed Mean ( 122 / 151 ) 532.692417061611 2.76669454187584 192.537487965853 Trimmed Mean ( 123 / 151 ) 532.692417061611 2.73748422491197 194.591958636306 Trimmed Mean ( 124 / 151 ) 532.884210526316 2.71076244141518 196.580933240361 Trimmed Mean ( 125 / 151 ) 533.228780487805 2.68301635518646 198.742277309281 Trimmed Mean ( 126 / 151 ) 533.393596059113 2.65690828350435 200.757248329095 Trimmed Mean ( 127 / 151 ) 533.551741293532 2.63182418761042 202.730768949264 Trimmed Mean ( 128 / 151 ) 533.709045226131 2.60583084468504 204.813388526238 Trimmed Mean ( 129 / 151 ) 533.859898477157 2.58096507951691 206.845068425754 Trimmed Mean ( 130 / 151 ) 534.011794871795 2.55512868619333 208.996046953460 Trimmed Mean ( 131 / 151 ) 534.156994818653 2.52930435766548 211.187314488191 Trimmed Mean ( 132 / 151 ) 534.305759162304 2.50183302139269 213.565715454852 Trimmed Mean ( 133 / 151 ) 534.438095238095 2.47641495488354 215.811204896890 Trimmed Mean ( 134 / 151 ) 534.560427807487 2.45241169701803 217.973364120501 Trimmed Mean ( 135 / 151 ) 534.677297297297 2.42892990617077 220.128747206304 Trimmed Mean ( 136 / 151 ) 534.798360655738 2.40560823598807 222.313156670781 Trimmed Mean ( 137 / 151 ) 534.917679558011 2.38174201163522 224.59094097717 Trimmed Mean ( 138 / 151 ) 535.015083798883 2.36192246114037 226.516785627489 Trimmed Mean ( 139 / 151 ) 535.117514124294 2.34182466771943 228.504516798610 Trimmed Mean ( 140 / 151 ) 535.223428571429 2.32057290037877 230.642798803722 Trimmed Mean ( 141 / 151 ) 535.335838150289 2.29826069266201 232.930859349217 Trimmed Mean ( 142 / 151 ) 535.433918128655 2.27887173632125 234.955706192134 Trimmed Mean ( 143 / 151 ) 535.533727810651 2.25812157583769 237.158943761469 Trimmed Mean ( 144 / 151 ) 535.635928143713 2.23755667023313 239.384295946303 Trimmed Mean ( 145 / 151 ) 535.735151515152 2.21652378370067 241.700610412895 Trimmed Mean ( 146 / 151 ) 535.831901840491 2.19507147738323 244.106812630659 Trimmed Mean ( 147 / 151 ) 535.914285714286 2.17716763141869 246.15205461468 Trimmed Mean ( 148 / 151 ) 536.006918238994 2.15884310459842 248.284332056034 Trimmed Mean ( 149 / 151 ) 536.080891719745 2.142689818538 250.190618857527 Trimmed Mean ( 150 / 151 ) 536.16064516129 2.12641426296506 252.143081665409 Trimmed Mean ( 151 / 151 ) 536.247712418301 2.10978666302396 254.171533935898 Median 542 Midrange 475.15 Midmean - Weighted Average at Xnp 530.573684210526 Midmean - Weighted Average at X(n+1)p 530.865938864629 Midmean - Empirical Distribution Function 530.865938864629 Midmean - Empirical Distribution Function - Averaging 530.865938864629 Midmean - Empirical Distribution Function - Interpolation 531.076211453744 Midmean - Closest Observation 530.573684210526 Midmean - True Basic - Statistics Graphics Toolkit 530.865938864629 Midmean - MS Excel (old versions) 530.865938864629 Number of observations 455

Charts produced by software:

http://www.freestatistics.org/blog/date/2010/Mar/26/t1269599144bwn2cnes7lzt7ke/1ljum1269599018.png (open in new window) http://www.freestatistics.org/blog/date/2010/Mar/26/t1269599144bwn2cnes7lzt7ke/1ljum1269599018.ps (open in new window) http://www.freestatistics.org/blog/date/2010/Mar/26/t1269599144bwn2cnes7lzt7ke/2wab71269599018.png (open in new window) http://www.freestatistics.org/blog/date/2010/Mar/26/t1269599144bwn2cnes7lzt7ke/2wab71269599018.ps (open in new window)

Parameters (Session):

Parameters (R input):

R code (references can be found in the software module):

geomean <- function(x) { return(exp(mean(log(x)))) } harmean <- function(x) { return(1/mean(1/x)) } quamean <- function(x) { return(sqrt(mean(x*x))) } winmean <- function(x) { x <-sort(x[!is.na(x)]) n<-length(x) denom <- 3 nodenom <- n/denom if (nodenom>40) denom <- n/40 sqrtn = sqrt(n) roundnodenom = floor(nodenom) win <- array(NA,dim=c(roundnodenom,2)) for (j in 1:roundnodenom) { win[j,1] <- (j*x[j+1]+sum(x[(j+1):(n-j)])+j*x[n-j])/n win[j,2] <- sd(c(rep(x[j+1],j),x[(j+1):(n-j)],rep(x[n-j],j)))/sqrtn } return(win) } trimean <- function(x) { x <-sort(x[!is.na(x)]) n<-length(x) denom <- 3 nodenom <- n/denom if (nodenom>40) denom <- n/40 sqrtn = sqrt(n) roundnodenom = floor(nodenom) tri <- array(NA,dim=c(roundnodenom,2)) for (j in 1:roundnodenom) { tri[j,1] <- mean(x,trim=j/n) tri[j,2] <- sd(x[(j+1):(n-j)]) / sqrt(n-j*2) } return(tri) } midrange <- function(x) { return((max(x)+min(x))/2) } q1 <- function(data,n,p,i,f) { np <- n*p; i <<- floor(np) f <<- np - i qvalue <- (1-f)*data[i] + f*data[i+1] } q2 <- function(data,n,p,i,f) { np <- (n+1)*p i <<- floor(np) f <<- np - i qvalue <- (1-f)*data[i] + f*data[i+1] } q3 <- function(data,n,p,i,f) { np <- n*p i <<- floor(np) f <<- np - i if (f==0) { qvalue <- data[i] } else { qvalue <- data[i+1] } } q4 <- function(data,n,p,i,f) { np <- n*p i <<- floor(np) f <<- np - i if (f==0) { qvalue <- (data[i]+data[i+1])/2 } else { qvalue <- data[i+1] } } q5 <- function(data,n,p,i,f) { np <- (n-1)*p i <<- floor(np) f <<- np - i if (f==0) { qvalue <- data[i+1] } else { qvalue <- data[i+1] + f*(data[i+2]-data[i+1]) } } q6 <- function(data,n,p,i,f) { np <- n*p+0.5 i <<- floor(np) f <<- np - i qvalue <- data[i] } q7 <- function(data,n,p,i,f) { np <- (n+1)*p i <<- floor(np) f <<- np - i if (f==0) { qvalue <- data[i] } else { qvalue <- f*data[i] + (1-f)*data[i+1] } } q8 <- function(data,n,p,i,f) { np <- (n+1)*p i <<- floor(np) f <<- np - i if (f==0) { qvalue <- data[i] } else { if (f == 0.5) { qvalue <- (data[i]+data[i+1])/2 } else { if (f < 0.5) { qvalue <- data[i] } else { qvalue <- data[i+1] } } } } midmean <- function(x,def) { x <-sort(x[!is.na(x)]) n<-length(x) if (def==1) { qvalue1 <- q1(x,n,0.25,i,f) qvalue3 <- q1(x,n,0.75,i,f) } if (def==2) { qvalue1 <- q2(x,n,0.25,i,f) qvalue3 <- q2(x,n,0.75,i,f) } if (def==3) { qvalue1 <- q3(x,n,0.25,i,f) qvalue3 <- q3(x,n,0.75,i,f) } if (def==4) { qvalue1 <- q4(x,n,0.25,i,f) qvalue3 <- q4(x,n,0.75,i,f) } if (def==5) { qvalue1 <- q5(x,n,0.25,i,f) qvalue3 <- q5(x,n,0.75,i,f) } if (def==6) { qvalue1 <- q6(x,n,0.25,i,f) qvalue3 <- q6(x,n,0.75,i,f) } if (def==7) { qvalue1 <- q7(x,n,0.25,i,f) qvalue3 <- q7(x,n,0.75,i,f) } if (def==8) { qvalue1 <- q8(x,n,0.25,i,f) qvalue3 <- q8(x,n,0.75,i,f) } midm <- 0 myn <- 0 roundno4 <- round(n/4) round3no4 <- round(3*n/4) for (i in 1:n) { if ((x[i]>=qvalue1) & (x[i]<=qvalue3)){ midm = midm + x[i] myn = myn + 1 } } midm = midm / myn return(midm) } (arm <- mean(x)) sqrtn <- sqrt(length(x)) (armse <- sd(x) / sqrtn) (armose <- arm / armse) (geo <- geomean(x)) (har <- harmean(x)) (qua <- quamean(x)) (win <- winmean(x)) (tri <- trimean(x)) (midr <- midrange(x)) midm <- array(NA,dim=8) for (j in 1:8) midm[j] <- midmean(x,j) midm bitmap(file='test1.png') lb <- win[,1] - 2*win[,2] ub <- win[,1] + 2*win[,2] if ((ylimmin == '') | (ylimmax == '')) plot(win[,1],type='b',main=main, xlab='j', pch=19, ylab='Winsorized Mean(j/n)', ylim=c(min(lb),max(ub))) else plot(win[,1],type='l',main=main, xlab='j', pch=19, ylab='Winsorized Mean(j/n)', ylim=c(ylimmin,ylimmax)) lines(ub,lty=3) lines(lb,lty=3) grid() dev.off() bitmap(file='test2.png') lb <- tri[,1] - 2*tri[,2] ub <- tri[,1] + 2*tri[,2] if ((ylimmin == '') | (ylimmax == '')) plot(tri[,1],type='b',main=main, xlab='j', pch=19, ylab='Trimmed Mean(j/n)', ylim=c(min(lb),max(ub))) else plot(tri[,1],type='l',main=main, xlab='j', pch=19, ylab='Trimmed Mean(j/n)', ylim=c(ylimmin,ylimmax)) lines(ub,lty=3) lines(lb,lty=3) grid() dev.off() load(file='createtable') a<-table.start() a<-table.row.start(a) a<-table.element(a,'Central Tendency - Ungrouped Data',4,TRUE) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'Measure',header=TRUE) a<-table.element(a,'Value',header=TRUE) a<-table.element(a,'S.E.',header=TRUE) a<-table.element(a,'Value/S.E.',header=TRUE) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,hyperlink('http://www.xycoon.com/arithmetic_mean.htm', 'Arithmetic Mean', 'click to view the definition of the Arithmetic Mean'),header=TRUE) a<-table.element(a,arm) a<-table.element(a,hyperlink('http://www.xycoon.com/arithmetic_mean_standard_error.htm', armse, 'click to view the definition of the Standard Error of the Arithmetic Mean')) a<-table.element(a,armose) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,hyperlink('http://www.xycoon.com/geometric_mean.htm', 'Geometric Mean', 'click to view the definition of the Geometric Mean'),header=TRUE) a<-table.element(a,geo) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,hyperlink('http://www.xycoon.com/harmonic_mean.htm', 'Harmonic Mean', 'click to view the definition of the Harmonic Mean'),header=TRUE) a<-table.element(a,har) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,hyperlink('http://www.xycoon.com/quadratic_mean.htm', 'Quadratic Mean', 'click to view the definition of the Quadratic Mean'),header=TRUE) a<-table.element(a,qua) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) for (j in 1:length(win[,1])) { a<-table.row.start(a) mylabel <- paste('Winsorized Mean (',j) mylabel <- paste(mylabel,'/') mylabel <- paste(mylabel,length(win[,1])) mylabel <- paste(mylabel,')') a<-table.element(a,hyperlink('http://www.xycoon.com/winsorized_mean.htm', mylabel, 'click to view the definition of the Winsorized Mean'),header=TRUE) a<-table.element(a,win[j,1]) a<-table.element(a,win[j,2]) a<-table.element(a,win[j,1]/win[j,2]) a<-table.row.end(a) } for (j in 1:length(tri[,1])) { a<-table.row.start(a) mylabel <- paste('Trimmed Mean (',j) mylabel <- paste(mylabel,'/') mylabel <- paste(mylabel,length(tri[,1])) mylabel <- paste(mylabel,')') a<-table.element(a,hyperlink('http://www.xycoon.com/arithmetic_mean.htm', mylabel, 'click to view the definition of the Trimmed Mean'),header=TRUE) a<-table.element(a,tri[j,1]) a<-table.element(a,tri[j,2]) a<-table.element(a,tri[j,1]/tri[j,2]) a<-table.row.end(a) } a<-table.row.start(a) a<-table.element(a,hyperlink('http://www.xycoon.com/median_1.htm', 'Median', 'click to view the definition of the Median'),header=TRUE) a<-table.element(a,median(x)) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,hyperlink('http://www.xycoon.com/midrange.htm', 'Midrange', 'click to view the definition of the Midrange'),header=TRUE) a<-table.element(a,midr) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean') mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_1.htm','Weighted Average at Xnp',''),sep=' - ') a<-table.element(a,mylabel,header=TRUE) a<-table.element(a,midm[1]) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean') mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_2.htm','Weighted Average at X(n+1)p',''),sep=' - ') a<-table.element(a,mylabel,header=TRUE) a<-table.element(a,midm[2]) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean') mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_3.htm','Empirical Distribution Function',''),sep=' - ') a<-table.element(a,mylabel,header=TRUE) a<-table.element(a,midm[3]) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean') mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_4.htm','Empirical Distribution Function - Averaging',''),sep=' - ') a<-table.element(a,mylabel,header=TRUE) a<-table.element(a,midm[4]) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean') mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_5.htm','Empirical Distribution Function - Interpolation',''),sep=' - ') a<-table.element(a,mylabel,header=TRUE) a<-table.element(a,midm[5]) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean') mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_6.htm','Closest Observation',''),sep=' - ') a<-table.element(a,mylabel,header=TRUE) a<-table.element(a,midm[6]) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean') mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_7.htm','True Basic - Statistics Graphics Toolkit',''),sep=' - ') a<-table.element(a,mylabel,header=TRUE) a<-table.element(a,midm[7]) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean') mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_8.htm','MS Excel (old versions)',''),sep=' - ') a<-table.element(a,mylabel,header=TRUE) a<-table.element(a,midm[8]) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'Number of observations',header=TRUE) a<-table.element(a,length(x)) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.end(a) table.save(a,file='mytable.tab')

Copyright

This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Software written by Ed van Stee & Patrick Wessa

Disclaimer

Information provided on this web site is provided "AS IS" without warranty of any kind, either express or implied, including, without limitation, warranties of merchantability, fitness for a particular purpose, and noninfringement. We use reasonable efforts to include accurate and timely information and periodically update the information, and software without notice. However, we make no warranties or representations as to the accuracy or completeness of such information (or software), and we assume no liability or responsibility for errors or omissions in the content of this web site, or any software bugs in online applications. Your use of this web site is AT YOUR OWN RISK. Under no circumstances and under no legal theory shall we be liable to you or any other person for any direct, indirect, special, incidental, exemplary, or consequential damages arising from your access to, or use of, this web site.

Privacy Policy

We may request personal information to be submitted to our servers in order to be able to:

• personalize online software applications according to your needs
• enforce strict security rules with respect to the data that you upload (e.g. statistical data)
• manage user sessions of online applications
• alert you about important changes or upgrades in resources or applications

We NEVER allow other companies to directly offer registered users information about their products and services. Banner references and hyperlinks of third parties NEVER contain any personal data of the visitor.

We do NOT sell, nor transmit by any means, personal information, nor statistical data series uploaded by you to third parties.

We carefully protect your data from loss, misuse, alteration, and destruction. However, at any time, and under any circumstance you are solely responsible for managing your passwords, and keeping them secret.

We store a unique ANONYMOUS USER ID in the form of a small 'Cookie' on your computer. This allows us to track your progress when using this website which is necessary to create state-dependent features. The cookie is used for NO OTHER PURPOSE. At any time you may opt to disallow cookies from this website - this will not affect other features of this website.

We examine cookies that are used by third-parties (banner and online ads) very closely: abuse from third-parties automatically results in termination of the advertising contract without refund. We have very good reason to believe that the cookies that are produced by third parties (banner ads) do NOT cause any privacy or security risk.

FreeStatistics.org is safe. There is no need to download any software to use the applications and services contained in this website. Hence, your system's security is not compromised by their use, and your personal data - other than data you submit in the account application form, and the user-agent information that is transmitted by your browser - is never transmitted to our servers.

As a general rule, we do not log on-line behavior of individuals (other than normal logging of webserver 'hits'). However, in cases of abuse, hacking, unauthorized access, Denial of Service attacks, illegal copying, hotlinking, non-compliance with international webstandards (such as robots.txt), or any other harmful behavior, our system engineers are empowered to log, track, identify, publish, and ban misbehaving individuals - even if this leads to ban entire blocks of IP addresses, or disclosing user's identity.

FreeStatistics.org is powered by