| Central Tendency - Ungrouped Data | |||
| Measure | Value | S.E. | Value/S.E. |
| Arithmetic Mean | 78.8707482993197 | 1.39775210287469 | 56.4268500380789 |
| Geometric Mean | 76.5219370332731 | ||
| Harmonic Mean | 73.162338294083 | ||
| Quadratic Mean | 80.6587672525057 | ||
| Winsorized Mean ( 1 / 49 ) | 78.9931972789116 | 1.36500782106352 | 57.8701426174728 |
| Winsorized Mean ( 2 / 49 ) | 79.0748299319728 | 1.34768007470774 | 58.6747785442486 |
| Winsorized Mean ( 3 / 49 ) | 79.0748299319728 | 1.34768007470774 | 58.6747785442486 |
| Winsorized Mean ( 4 / 49 ) | 79.0748299319728 | 1.34768007470774 | 58.6747785442486 |
| Winsorized Mean ( 5 / 49 ) | 79.0748299319728 | 1.34768007470774 | 58.6747785442486 |
| Winsorized Mean ( 6 / 49 ) | 79.0748299319728 | 1.34768007470774 | 58.6747785442486 |
| Winsorized Mean ( 7 / 49 ) | 79.1700680272109 | 1.32909963441196 | 59.5666915988872 |
| Winsorized Mean ( 8 / 49 ) | 79.3333333333333 | 1.29867115345828 | 61.0880846333376 |
| Winsorized Mean ( 9 / 49 ) | 79.578231292517 | 1.25605142868738 | 63.3558702096135 |
| Winsorized Mean ( 10 / 49 ) | 79.578231292517 | 1.25605142868738 | 63.3558702096135 |
| Winsorized Mean ( 11 / 49 ) | 79.6530612244898 | 1.24370198176303 | 64.045134921773 |
| Winsorized Mean ( 12 / 49 ) | 79.6530612244898 | 1.24370198176303 | 64.045134921773 |
| Winsorized Mean ( 13 / 49 ) | 79.6530612244898 | 1.24370198176303 | 64.045134921773 |
| Winsorized Mean ( 14 / 49 ) | 80.1292517006803 | 1.16966567861269 | 68.506115179612 |
| Winsorized Mean ( 15 / 49 ) | 80.3333333333333 | 1.14034023787017 | 70.446811105581 |
| Winsorized Mean ( 16 / 49 ) | 80.5510204081633 | 1.11060927253711 | 72.5286762860806 |
| Winsorized Mean ( 17 / 49 ) | 80.5510204081633 | 1.11060927253711 | 72.5286762860806 |
| Winsorized Mean ( 18 / 49 ) | 80.5510204081633 | 1.11060927253711 | 72.5286762860806 |
| Winsorized Mean ( 19 / 49 ) | 80.2925170068027 | 1.0489914608457 | 76.5425839997502 |
| Winsorized Mean ( 20 / 49 ) | 80.156462585034 | 1.03443194701828 | 77.4883865643193 |
| Winsorized Mean ( 21 / 49 ) | 80.0136054421769 | 1.01974662493487 | 78.4642022691543 |
| Winsorized Mean ( 22 / 49 ) | 80.0136054421769 | 1.01974662493487 | 78.4642022691543 |
| Winsorized Mean ( 23 / 49 ) | 80.0136054421769 | 1.01974662493487 | 78.4642022691543 |
| Winsorized Mean ( 24 / 49 ) | 80.0136054421769 | 1.01974662493487 | 78.4642022691543 |
| Winsorized Mean ( 25 / 49 ) | 80.1836734693878 | 0.997107942134622 | 80.4162418942622 |
| Winsorized Mean ( 26 / 49 ) | 80.3605442176871 | 0.974033649563933 | 82.502841923032 |
| Winsorized Mean ( 27 / 49 ) | 80.1768707482993 | 0.95547608670087 | 83.913006159201 |
| Winsorized Mean ( 28 / 49 ) | 80.5578231292517 | 0.864079846511964 | 93.2296054056115 |
| Winsorized Mean ( 29 / 49 ) | 80.5578231292517 | 0.864079846511964 | 93.2296054056115 |
| Winsorized Mean ( 30 / 49 ) | 80.7619047619048 | 0.794711185498527 | 101.624220516341 |
| Winsorized Mean ( 31 / 49 ) | 80.7619047619048 | 0.749822663054741 | 107.708007161166 |
| Winsorized Mean ( 32 / 49 ) | 81.1972789115646 | 0.700562193918884 | 115.903027049396 |
| Winsorized Mean ( 33 / 49 ) | 81.1972789115646 | 0.700562193918884 | 115.903027049396 |
| Winsorized Mean ( 34 / 49 ) | 81.1972789115646 | 0.700562193918884 | 115.903027049396 |
| Winsorized Mean ( 35 / 49 ) | 80.9591836734694 | 0.678275422169976 | 119.360338038581 |
| Winsorized Mean ( 36 / 49 ) | 80.9591836734694 | 0.678275422169976 | 119.360338038581 |
| Winsorized Mean ( 37 / 49 ) | 80.9591836734694 | 0.678275422169976 | 119.360338038581 |
| Winsorized Mean ( 38 / 49 ) | 80.9591836734694 | 0.678275422169976 | 119.360338038581 |
| Winsorized Mean ( 39 / 49 ) | 80.9591836734694 | 0.678275422169976 | 119.360338038581 |
| Winsorized Mean ( 40 / 49 ) | 81.2312925170068 | 0.648508753463287 | 125.258590702439 |
| Winsorized Mean ( 41 / 49 ) | 81.5102040816327 | 0.618749038356078 | 131.733867899323 |
| Winsorized Mean ( 42 / 49 ) | 81.795918367347 | 0.58908934643652 | 138.851464318853 |
| Winsorized Mean ( 43 / 49 ) | 82.3809523809524 | 0.53122895806165 | 155.076170323139 |
| Winsorized Mean ( 44 / 49 ) | 82.3809523809524 | 0.53122895806165 | 155.076170323139 |
| Winsorized Mean ( 45 / 49 ) | 82.3809523809524 | 0.53122895806165 | 155.076170323139 |
| Winsorized Mean ( 46 / 49 ) | 82.3809523809524 | 0.53122895806165 | 155.076170323139 |
| Winsorized Mean ( 47 / 49 ) | 82.3809523809524 | 0.53122895806165 | 155.076170323139 |
| Winsorized Mean ( 48 / 49 ) | 82.3809523809524 | 0.53122895806165 | 155.076170323139 |
| Winsorized Mean ( 49 / 49 ) | 82.3809523809524 | 0.53122895806165 | 155.076170323139 |
| Trimmed Mean ( 1 / 49 ) | 79.1586206896552 | 1.34048641104856 | 59.0521619892705 |
| Trimmed Mean ( 2 / 49 ) | 79.3286713286713 | 1.31364941973447 | 60.3880077415985 |
| Trimmed Mean ( 3 / 49 ) | 79.3286713286713 | 1.29422839007786 | 61.2941826472366 |
| Trimmed Mean ( 4 / 49 ) | 79.5971223021583 | 1.27296829378201 | 62.5287547937849 |
| Trimmed Mean ( 5 / 49 ) | 79.7372262773723 | 1.2496573198376 | 63.8072734113498 |
| Trimmed Mean ( 6 / 49 ) | 79.7372262773723 | 1.22404741685163 | 65.142269147109 |
| Trimmed Mean ( 7 / 49 ) | 80.03007518797 | 1.19584512012870 | 66.9234450522799 |
| Trimmed Mean ( 8 / 49 ) | 80.1679389312977 | 1.16864259061964 | 68.5991932647182 |
| Trimmed Mean ( 9 / 49 ) | 80.2868217054264 | 1.14443768765986 | 70.1539477169758 |
| Trimmed Mean ( 10 / 49 ) | 80.3779527559055 | 1.12514794449226 | 71.4376746181385 |
| Trimmed Mean ( 11 / 49 ) | 80.472 | 1.10386862238396 | 72.8999795521038 |
| Trimmed Mean ( 12 / 49 ) | 80.472 | 1.08225890238692 | 74.3555907209627 |
| Trimmed Mean ( 13 / 49 ) | 80.6528925619835 | 1.05833376133709 | 76.2074267196084 |
| Trimmed Mean ( 14 / 49 ) | 80.7478991596639 | 1.03177121624480 | 78.2614380865862 |
| Trimmed Mean ( 15 / 49 ) | 80.8034188034188 | 1.01253849564521 | 79.802811597725 |
| Trimmed Mean ( 16 / 49 ) | 80.8434782608696 | 0.994998269710735 | 81.2498681875822 |
| Trimmed Mean ( 17 / 49 ) | 80.8672566371681 | 0.97920092625515 | 82.584947040886 |
| Trimmed Mean ( 18 / 49 ) | 80.8918918918919 | 0.961618155018315 | 84.1205955500614 |
| Trimmed Mean ( 19 / 49 ) | 80.9174311926605 | 0.94200937268919 | 85.8987538114006 |
| Trimmed Mean ( 20 / 49 ) | 80.96261682243 | 0.92715886685513 | 87.323348475381 |
| Trimmed Mean ( 21 / 49 ) | 81.0190476190476 | 0.912066139758085 | 88.8302329045315 |
| Trimmed Mean ( 22 / 49 ) | 81.0873786407767 | 0.896628071793122 | 90.4359133867112 |
| Trimmed Mean ( 23 / 49 ) | 81.1584158415842 | 0.879213495656217 | 92.3079732539934 |
| Trimmed Mean ( 24 / 49 ) | 81.1584158415842 | 0.859523903398237 | 94.4225233535845 |
| Trimmed Mean ( 25 / 49 ) | 81.3092783505155 | 0.837193912977003 | 97.12120106247 |
| Trimmed Mean ( 26 / 49 ) | 81.378947368421 | 0.814644646988113 | 99.8950249894768 |
| Trimmed Mean ( 27 / 49 ) | 81.4408602150538 | 0.791856395501503 | 102.848017238625 |
| Trimmed Mean ( 28 / 49 ) | 81.5164835164835 | 0.767846303391442 | 106.162500433276 |
| Trimmed Mean ( 29 / 49 ) | 81.5730337078652 | 0.751553997899888 | 108.539152124544 |
| Trimmed Mean ( 30 / 49 ) | 81.632183908046 | 0.732838939783032 | 111.391711707097 |
| Trimmed Mean ( 31 / 49 ) | 81.6823529411765 | 0.719518155899012 | 113.523685638088 |
| Trimmed Mean ( 32 / 49 ) | 81.7349397590361 | 0.709095506725132 | 115.266475367357 |
| Trimmed Mean ( 33 / 49 ) | 81.7654320987654 | 0.702568393256607 | 116.380743687827 |
| Trimmed Mean ( 34 / 49 ) | 81.7974683544304 | 0.694808435729871 | 117.726648307753 |
| Trimmed Mean ( 35 / 49 ) | 81.8311688311688 | 0.68561097214626 | 119.355103922858 |
| Trimmed Mean ( 36 / 49 ) | 81.88 | 0.677025822228343 | 120.940734181309 |
| Trimmed Mean ( 37 / 49 ) | 81.931506849315 | 0.666760486298889 | 122.879967443943 |
| Trimmed Mean ( 38 / 49 ) | 81.9859154929577 | 0.654497813153818 | 125.265377278945 |
| Trimmed Mean ( 39 / 49 ) | 82.0434782608696 | 0.639837862630479 | 128.225419364173 |
| Trimmed Mean ( 40 / 49 ) | 82.1044776119403 | 0.622266733801166 | 131.944185912685 |
| Trimmed Mean ( 41 / 49 ) | 82.1538461538462 | 0.605753968061692 | 135.622464705802 |
| Trimmed Mean ( 42 / 49 ) | 82.1904761904762 | 0.590441503366478 | 139.201725694851 |
| Trimmed Mean ( 43 / 49 ) | 82.2131147540984 | 0.576457408934992 | 142.617847354911 |
| Trimmed Mean ( 44 / 49 ) | 82.2033898305085 | 0.567881654874744 | 144.754438050371 |
| Trimmed Mean ( 45 / 49 ) | 82.1929824561404 | 0.557158133541498 | 147.521821019990 |
| Trimmed Mean ( 46 / 49 ) | 82.1818181818182 | 0.543768437725041 | 151.133851250436 |
| Trimmed Mean ( 47 / 49 ) | 82.1698113207547 | 0.52701741010052 | 155.914794740998 |
| Trimmed Mean ( 48 / 49 ) | 82.1698113207547 | 0.505943148801622 | 162.409178808691 |
| Trimmed Mean ( 49 / 49 ) | 82.1428571428571 | 0.479157423749955 | 171.431878274984 |
| Median | 81 | ||
| Midrange | 58 | ||
| Midmean - Weighted Average at Xnp | 81.3875 | ||
| Midmean - Weighted Average at X(n+1)p | 81.3875 | ||
| Midmean - Empirical Distribution Function | 81.3875 | ||
| Midmean - Empirical Distribution Function - Averaging | 81.3875 | ||
| Midmean - Empirical Distribution Function - Interpolation | 81.3875 | ||
| Midmean - Closest Observation | 81.3875 | ||
| Midmean - True Basic - Statistics Graphics Toolkit | 81.3875 | ||
| Midmean - MS Excel (old versions) | 81.3875 | ||
| Number of observations | 147 | ||
