Central Tendency - Ungrouped Data | |||
Measure | Value | S.E. | Value/S.E. |
Arithmetic Mean | 45.6679464285714 | 0.6781380460262 | 67.3431415567665 |
Geometric Mean | 44.3795342591813 | ||
Harmonic Mean | 42.9442709125863 | ||
Quadratic Mean | 46.7772659602321 | ||
Winsorized Mean ( 1 / 74 ) | 45.6732589285714 | 0.677160124653458 | 67.448240476276 |
Winsorized Mean ( 2 / 74 ) | 45.6726339285714 | 0.676186327687424 | 67.5444504841929 |
Winsorized Mean ( 3 / 74 ) | 45.6654017857143 | 0.674414897012192 | 67.7111404092973 |
Winsorized Mean ( 4 / 74 ) | 45.6771875 | 0.672324545175009 | 67.9391936941853 |
Winsorized Mean ( 5 / 74 ) | 45.6805357142857 | 0.671659601487051 | 68.0114385518337 |
Winsorized Mean ( 6 / 74 ) | 45.6840178571429 | 0.670120110280452 | 68.1728799901612 |
Winsorized Mean ( 7 / 74 ) | 45.6890178571429 | 0.668920150451116 | 68.302648419741 |
Winsorized Mean ( 8 / 74 ) | 45.6958035714286 | 0.667429478470591 | 68.4653660730421 |
Winsorized Mean ( 9 / 74 ) | 45.7235267857143 | 0.663019841161763 | 68.9625316575688 |
Winsorized Mean ( 10 / 74 ) | 45.7320089285714 | 0.661921643830833 | 69.0897621414826 |
Winsorized Mean ( 11 / 74 ) | 45.7437946428571 | 0.659407527289942 | 69.3710531799003 |
Winsorized Mean ( 12 / 74 ) | 45.7416517857143 | 0.658239273790834 | 69.4909185869232 |
Winsorized Mean ( 13 / 74 ) | 45.7735714285714 | 0.651577201559993 | 70.2504190124843 |
Winsorized Mean ( 14 / 74 ) | 45.7835714285714 | 0.650347058193854 | 70.3986753714574 |
Winsorized Mean ( 15 / 74 ) | 45.7755357142857 | 0.649782178055113 | 70.4475088117962 |
Winsorized Mean ( 16 / 74 ) | 45.7698214285714 | 0.64912584114367 | 70.5099358668749 |
Winsorized Mean ( 17 / 74 ) | 45.7599553571429 | 0.646813288920819 | 70.7467767607116 |
Winsorized Mean ( 18 / 74 ) | 45.7631696428571 | 0.645313558974931 | 70.9161755651796 |
Winsorized Mean ( 19 / 74 ) | 45.7377232142857 | 0.64346815616164 | 71.0800103724113 |
Winsorized Mean ( 20 / 74 ) | 45.7439732142857 | 0.641997824010782 | 71.2525362290285 |
Winsorized Mean ( 21 / 74 ) | 45.7420982142857 | 0.641875135691524 | 71.2632343438658 |
Winsorized Mean ( 22 / 74 ) | 45.7401339285714 | 0.641746828080467 | 71.2744215119614 |
Winsorized Mean ( 23 / 74 ) | 45.7812053571429 | 0.636391242516804 | 71.9387733496883 |
Winsorized Mean ( 24 / 74 ) | 45.7469196428572 | 0.634004131122046 | 72.1555545101817 |
Winsorized Mean ( 25 / 74 ) | 45.7603125 | 0.631613251483827 | 72.4498930199721 |
Winsorized Mean ( 26 / 74 ) | 45.7672767857143 | 0.630277135928424 | 72.6145280810436 |
Winsorized Mean ( 27 / 74 ) | 45.7684821428571 | 0.629739774013224 | 72.6784046864031 |
Winsorized Mean ( 28 / 74 ) | 45.7722321428571 | 0.628283060171227 | 72.8528827920058 |
Winsorized Mean ( 29 / 74 ) | 45.7929464285714 | 0.625869815226561 | 73.1668876090384 |
Winsorized Mean ( 30 / 74 ) | 45.7902678571429 | 0.623679113238057 | 73.4195949250345 |
Winsorized Mean ( 31 / 74 ) | 45.8110267857143 | 0.621267262430348 | 73.7380344274141 |
Winsorized Mean ( 32 / 74 ) | 45.8024553571429 | 0.6202602622063 | 73.8439299564685 |
Winsorized Mean ( 33 / 74 ) | 45.8348660714286 | 0.616635381360368 | 74.3305808536507 |
Winsorized Mean ( 34 / 74 ) | 45.8318303571429 | 0.614191061824478 | 74.62145447216 |
Winsorized Mean ( 35 / 74 ) | 45.8443303571429 | 0.611612967157992 | 74.9564394786618 |
Winsorized Mean ( 36 / 74 ) | 45.8411160714286 | 0.61115318563131 | 75.0075711772255 |
Winsorized Mean ( 37 / 74 ) | 45.8460714285714 | 0.610371367230509 | 75.1117661966891 |
Winsorized Mean ( 38 / 74 ) | 45.8596428571429 | 0.60841943317663 | 75.3750461547624 |
Winsorized Mean ( 39 / 74 ) | 45.863125 | 0.606356038305369 | 75.6372858563053 |
Winsorized Mean ( 40 / 74 ) | 45.8541964285714 | 0.605235222367768 | 75.7626039165123 |
Winsorized Mean ( 41 / 74 ) | 45.8871428571429 | 0.600976283244083 | 76.3543323364494 |
Winsorized Mean ( 42 / 74 ) | 45.8758928571429 | 0.600301120610783 | 76.421467963388 |
Winsorized Mean ( 43 / 74 ) | 45.8624553571429 | 0.598879200704304 | 76.5804778379461 |
Winsorized Mean ( 44 / 74 ) | 45.8722767857143 | 0.592197900364273 | 77.4610594828136 |
Winsorized Mean ( 45 / 74 ) | 45.9064285714286 | 0.586499149922562 | 78.2719439192534 |
Winsorized Mean ( 46 / 74 ) | 45.9023214285714 | 0.585279278308583 | 78.4280652498513 |
Winsorized Mean ( 47 / 74 ) | 45.9170089285714 | 0.582801157189063 | 78.78674975533 |
Winsorized Mean ( 48 / 74 ) | 45.9405803571429 | 0.579755421005556 | 79.241312271753 |
Winsorized Mean ( 49 / 74 ) | 46.0171428571429 | 0.571765853275538 | 80.4824957515727 |
Winsorized Mean ( 50 / 74 ) | 46.0327678571429 | 0.569862010210213 | 80.778797379671 |
Winsorized Mean ( 51 / 74 ) | 46.0327678571429 | 0.568787095219179 | 80.9314561530345 |
Winsorized Mean ( 52 / 74 ) | 46.0304464285714 | 0.568652313758529 | 80.9465561202618 |
Winsorized Mean ( 53 / 74 ) | 46.0564732142857 | 0.566073030098745 | 81.3613628726521 |
Winsorized Mean ( 54 / 74 ) | 46.2131696428571 | 0.550657243169059 | 83.9236570773103 |
Winsorized Mean ( 55 / 74 ) | 46.25 | 0.547062371351405 | 84.54246247233 |
Winsorized Mean ( 56 / 74 ) | 46.2475 | 0.545357671983053 | 84.802144309867 |
Winsorized Mean ( 57 / 74 ) | 46.3212946428571 | 0.536606540406572 | 86.322642671781 |
Winsorized Mean ( 58 / 74 ) | 46.4145089285714 | 0.526003752524072 | 88.2398817610095 |
Winsorized Mean ( 59 / 74 ) | 46.4698214285714 | 0.5202857457437 | 89.3159611016196 |
Winsorized Mean ( 60 / 74 ) | 46.5367857142857 | 0.513468742824867 | 90.6321686852093 |
Winsorized Mean ( 61 / 74 ) | 46.5449553571429 | 0.512270174706365 | 90.8601703853296 |
Winsorized Mean ( 62 / 74 ) | 46.5587946428571 | 0.510099375424993 | 91.2739691242836 |
Winsorized Mean ( 63 / 74 ) | 46.6009821428571 | 0.506083755534084 | 92.0815608745984 |
Winsorized Mean ( 64 / 74 ) | 46.7352678571429 | 0.492916800253008 | 94.8137045301645 |
Winsorized Mean ( 65 / 74 ) | 46.828125 | 0.483273590711245 | 96.897752950005 |
Winsorized Mean ( 66 / 74 ) | 46.9754464285714 | 0.467659312031727 | 100.448008240205 |
Winsorized Mean ( 67 / 74 ) | 47.0442410714286 | 0.459416889919424 | 102.399894526471 |
Winsorized Mean ( 68 / 74 ) | 47.0472767857143 | 0.458671927979904 | 102.572828018757 |
Winsorized Mean ( 69 / 74 ) | 47.5955803571429 | 0.40764826568409 | 116.756489267214 |
Winsorized Mean ( 70 / 74 ) | 47.6049553571429 | 0.406793950368495 | 117.024737742584 |
Winsorized Mean ( 71 / 74 ) | 48.0075 | 0.369938238261636 | 129.771661955224 |
Winsorized Mean ( 72 / 74 ) | 47.9946428571429 | 0.369150517606348 | 130.013749319249 |
Winsorized Mean ( 73 / 74 ) | 48.3759375 | 0.334773796192792 | 144.503357342045 |
Winsorized Mean ( 74 / 74 ) | 48.6137946428571 | 0.309983592671754 | 156.826992757436 |
Trimmed Mean ( 1 / 74 ) | 45.7098648648649 | 0.673929589192845 | 67.8258761714423 |
Trimmed Mean ( 2 / 74 ) | 45.7471363636364 | 0.670498196094008 | 68.2285748569297 |
Trimmed Mean ( 3 / 74 ) | 45.7854128440367 | 0.667375163124199 | 68.6052094442658 |
Trimmed Mean ( 4 / 74 ) | 45.8268981481481 | 0.664694117021052 | 68.9443414265945 |
Trimmed Mean ( 5 / 74 ) | 45.8660747663551 | 0.662415764363625 | 69.240614782799 |
Trimmed Mean ( 6 / 74 ) | 45.9052830188679 | 0.660123659000088 | 69.5404298770359 |
Trimmed Mean ( 7 / 74 ) | 45.944619047619 | 0.657961855378695 | 69.8286970164483 |
Trimmed Mean ( 8 / 74 ) | 45.9839423076923 | 0.655840027703848 | 70.1145711838998 |
Trimmed Mean ( 9 / 74 ) | 46.0231067961165 | 0.653780858275658 | 70.3953109265116 |
Trimmed Mean ( 10 / 74 ) | 46.0596568627451 | 0.652169844840572 | 70.625247743561 |
Trimmed Mean ( 11 / 74 ) | 46.0959900990099 | 0.650555310491562 | 70.8563735559696 |
Trimmed Mean ( 12 / 74 ) | 46.13185 | 0.649090732705313 | 71.0714969041838 |
Trimmed Mean ( 13 / 74 ) | 46.1686363636364 | 0.64761176890604 | 71.2906073983575 |
Trimmed Mean ( 14 / 74 ) | 46.2033673469388 | 0.646677665919373 | 71.4472909486554 |
Trimmed Mean ( 15 / 74 ) | 46.2379896907216 | 0.645745158214852 | 71.60408266714 |
Trimmed Mean ( 16 / 74 ) | 46.2739583333333 | 0.644740480069404 | 71.7714487670328 |
Trimmed Mean ( 17 / 74 ) | 46.3111052631579 | 0.64366407252494 | 71.9491847377631 |
Trimmed Mean ( 18 / 74 ) | 46.3497340425532 | 0.642645654650951 | 72.1233135354004 |
Trimmed Mean ( 19 / 74 ) | 46.3889784946237 | 0.641616241165591 | 72.300193664598 |
Trimmed Mean ( 20 / 74 ) | 46.4307065217391 | 0.640585275643758 | 72.4816949235657 |
Trimmed Mean ( 21 / 74 ) | 46.472967032967 | 0.639527608340679 | 72.6676478495525 |
Trimmed Mean ( 22 / 74 ) | 46.5162777777778 | 0.63833306849553 | 72.871483671386 |
Trimmed Mean ( 23 / 74 ) | 46.5606741573034 | 0.636991778570586 | 73.0946233902514 |
Trimmed Mean ( 24 / 74 ) | 46.6038068181818 | 0.635881276936329 | 73.2901069877676 |
Trimmed Mean ( 25 / 74 ) | 46.6497701149425 | 0.634765071183922 | 73.4913942695909 |
Trimmed Mean ( 26 / 74 ) | 46.6961046511628 | 0.633655699972457 | 73.6931817281727 |
Trimmed Mean ( 27 / 74 ) | 46.7431764705882 | 0.632474443907827 | 73.9052414225298 |
Trimmed Mean ( 28 / 74 ) | 46.7913095238095 | 0.631157535269874 | 74.1357060782015 |
Trimmed Mean ( 29 / 74 ) | 46.840421686747 | 0.629754383134493 | 74.3788736389685 |
Trimmed Mean ( 30 / 74 ) | 46.889756097561 | 0.628325240417071 | 74.6265677094817 |
Trimmed Mean ( 31 / 74 ) | 46.9404320987654 | 0.626837300068643 | 74.8845547219751 |
Trimmed Mean ( 32 / 74 ) | 46.9914375 | 0.625307678021319 | 75.1493051367872 |
Trimmed Mean ( 33 / 74 ) | 47.0441139240506 | 0.623624918860611 | 75.4365524873544 |
Trimmed Mean ( 34 / 74 ) | 47.0967307692308 | 0.621960574200565 | 75.7230164142902 |
Trimmed Mean ( 35 / 74 ) | 47.1508441558442 | 0.620216754261926 | 76.0231706606424 |
Trimmed Mean ( 36 / 74 ) | 47.2058552631579 | 0.618399897829957 | 76.3354836066584 |
Trimmed Mean ( 37 / 74 ) | 47.2624666666667 | 0.61635965949948 | 76.6800129408965 |
Trimmed Mean ( 38 / 74 ) | 47.3204054054054 | 0.614100798829614 | 77.0564140212668 |
Trimmed Mean ( 39 / 74 ) | 47.3793835616438 | 0.61168125344094 | 77.4576354843585 |
Trimmed Mean ( 40 / 74 ) | 47.4398611111111 | 0.60908405944787 | 77.8872150325442 |
Trimmed Mean ( 41 / 74 ) | 47.5023943661972 | 0.606222074467637 | 78.3580743210516 |
Trimmed Mean ( 42 / 74 ) | 47.5654285714286 | 0.603297519414289 | 78.8424070060945 |
Trimmed Mean ( 43 / 74 ) | 47.6307246376812 | 0.600039286397454 | 79.3793435154036 |
Trimmed Mean ( 44 / 74 ) | 47.6984558823529 | 0.596458355197153 | 79.9694655406189 |
Trimmed Mean ( 45 / 74 ) | 47.7678358208955 | 0.592877036080668 | 80.5695496939371 |
Trimmed Mean ( 46 / 74 ) | 47.8380303030303 | 0.589245926164282 | 81.1851693475995 |
Trimmed Mean ( 47 / 74 ) | 47.9105384615385 | 0.585227530038182 | 81.8665151627652 |
Trimmed Mean ( 48 / 74 ) | 47.984765625 | 0.580881094989574 | 82.6068640189801 |
Trimmed Mean ( 49 / 74 ) | 48.0604761904762 | 0.576217098164995 | 83.4068901175065 |
Trimmed Mean ( 50 / 74 ) | 48.1358064516129 | 0.571590991384228 | 84.2137248087866 |
Trimmed Mean ( 51 / 74 ) | 48.2130327868852 | 0.566518601603872 | 85.1040595143553 |
Trimmed Mean ( 52 / 74 ) | 48.2928333333333 | 0.560871011091766 | 86.1032793250068 |
Trimmed Mean ( 53 / 74 ) | 48.3754237288136 | 0.554507802077739 | 87.240294090635 |
Trimmed Mean ( 54 / 74 ) | 48.4599137931034 | 0.547557127641792 | 88.502023527316 |
Trimmed Mean ( 55 / 74 ) | 48.5416666666667 | 0.541081678069297 | 89.7122719805897 |
Trimmed Mean ( 56 / 74 ) | 48.625 | 0.534074708934335 | 91.0453147969201 |
Trimmed Mean ( 57 / 74 ) | 48.7114545454545 | 0.52626172839983 | 92.5612711636249 |
Trimmed Mean ( 58 / 74 ) | 48.7984259259259 | 0.518212325763444 | 94.1668569037505 |
Trimmed Mean ( 59 / 74 ) | 48.8852830188679 | 0.510074906106076 | 95.839419727701 |
Trimmed Mean ( 60 / 74 ) | 48.9734615384615 | 0.501370429042067 | 97.6791982567294 |
Trimmed Mean ( 61 / 74 ) | 48.9734615384615 | 0.492134147121266 | 99.5124232385241 |
Trimmed Mean ( 62 / 74 ) | 49.1551 | 0.481682939748175 | 102.048663018247 |
Trimmed Mean ( 63 / 74 ) | 49.2508163265306 | 0.469917775383171 | 104.807306525852 |
Trimmed Mean ( 64 / 74 ) | 49.3489583333333 | 0.456855035723517 | 108.018856036423 |
Trimmed Mean ( 65 / 74 ) | 49.4462765957447 | 0.443411954229955 | 111.513178939018 |
Trimmed Mean ( 66 / 74 ) | 49.544347826087 | 0.42906425769063 | 115.470694512639 |
Trimmed Mean ( 67 / 74 ) | 49.6412222222222 | 0.414445219112114 | 119.777524104563 |
Trimmed Mean ( 68 / 74 ) | 49.7398863636364 | 0.398470052600166 | 124.82716339425 |
Trimmed Mean ( 69 / 74 ) | 49.843023255814 | 0.379744246491366 | 131.254189408627 |
Trimmed Mean ( 70 / 74 ) | 49.929880952381 | 0.365636552817666 | 136.556043337603 |
Trimmed Mean ( 71 / 74 ) | 50.0206097560976 | 0.349073594262602 | 143.295312444825 |
Trimmed Mean ( 72 / 74 ) | 50.1 | 0.335450056649763 | 149.351592008549 |
Trimmed Mean ( 73 / 74 ) | 50.1839743589744 | 0.319257502086974 | 157.189647951649 |
Trimmed Mean ( 74 / 74 ) | 50.2569736842105 | 0.30591381768468 | 164.284745503104 |
Median | 51.39 | ||
Midrange | 41.015 | ||
Midmean - Weighted Average at Xnp | 48.4987610619469 | ||
Midmean - Weighted Average at X(n+1)p | 48.625 | ||
Midmean - Empirical Distribution Function | 48.4987610619469 | ||
Midmean - Empirical Distribution Function - Averaging | 48.625 | ||
Midmean - Empirical Distribution Function - Interpolation | 48.625 | ||
Midmean - Closest Observation | 48.4987610619469 | ||
Midmean - True Basic - Statistics Graphics Toolkit | 48.625 | ||
Midmean - MS Excel (old versions) | 48.6659829059829 | ||
Number of observations | 224 |