| Central Tendency - Ungrouped Data | |||
| Measure | Value | S.E. | Value/S.E. |
| Arithmetic Mean | 84.17425 | 2.31692017534367 | 36.3302330808675 |
| Geometric Mean | 80.5254050205065 | ||
| Harmonic Mean | 77.0366780160608 | ||
| Quadratic Mean | 87.8869190257193 | ||
| Winsorized Mean ( 1 / 40 ) | 84.1518333333333 | 2.31040546292808 | 36.4229719344084 |
| Winsorized Mean ( 2 / 40 ) | 84.0948333333333 | 2.29074798795162 | 36.7106437616172 |
| Winsorized Mean ( 3 / 40 ) | 84.0780833333333 | 2.27805466513967 | 36.9078427396642 |
| Winsorized Mean ( 4 / 40 ) | 84.0804166666667 | 2.2540390649641 | 37.3021115621197 |
| Winsorized Mean ( 5 / 40 ) | 84.0183333333333 | 2.22901544108633 | 37.6930243661238 |
| Winsorized Mean ( 6 / 40 ) | 83.9758333333333 | 2.19852320112229 | 38.1964735648301 |
| Winsorized Mean ( 7 / 40 ) | 83.72325 | 2.13229008267489 | 39.2644746980073 |
| Winsorized Mean ( 8 / 40 ) | 83.46125 | 2.07491166347859 | 40.2240015654821 |
| Winsorized Mean ( 9 / 40 ) | 83.36225 | 2.02561889585368 | 41.1539654229319 |
| Winsorized Mean ( 10 / 40 ) | 83.3064166666667 | 2.01537144019619 | 41.3355151339037 |
| Winsorized Mean ( 11 / 40 ) | 83.34125 | 2.00699616524744 | 41.5253658393139 |
| Winsorized Mean ( 12 / 40 ) | 83.23125 | 1.98717563659564 | 41.88419406278 |
| Winsorized Mean ( 13 / 40 ) | 83.1955 | 1.94496302287836 | 42.7748491983556 |
| Winsorized Mean ( 14 / 40 ) | 82.9003333333333 | 1.89886744932413 | 43.6577778837804 |
| Winsorized Mean ( 15 / 40 ) | 82.8865833333333 | 1.87739263772609 | 44.1498393398016 |
| Winsorized Mean ( 16 / 40 ) | 83.0425833333333 | 1.85646718988312 | 44.7315114352017 |
| Winsorized Mean ( 17 / 40 ) | 83.3103333333333 | 1.82369197948587 | 45.682239254471 |
| Winsorized Mean ( 18 / 40 ) | 83.3238333333333 | 1.80156914247461 | 46.2506996644496 |
| Winsorized Mean ( 19 / 40 ) | 82.7475 | 1.71479676483188 | 48.2549895690483 |
| Winsorized Mean ( 20 / 40 ) | 82.5958333333333 | 1.66258652639487 | 49.6791186636361 |
| Winsorized Mean ( 21 / 40 ) | 82.3805833333333 | 1.63059668967143 | 50.5217408174265 |
| Winsorized Mean ( 22 / 40 ) | 82.2559166666667 | 1.60332474721738 | 51.3033412659689 |
| Winsorized Mean ( 23 / 40 ) | 82.4859166666667 | 1.56829122738451 | 52.5960454450995 |
| Winsorized Mean ( 24 / 40 ) | 81.4219166666667 | 1.37149664358285 | 59.3672008222807 |
| Winsorized Mean ( 25 / 40 ) | 81.4094166666667 | 1.34862780296197 | 60.3646287640432 |
| Winsorized Mean ( 26 / 40 ) | 81.5784166666667 | 1.32101414651463 | 61.7543853575705 |
| Winsorized Mean ( 27 / 40 ) | 81.7764166666667 | 1.29145309228694 | 63.321244228743 |
| Winsorized Mean ( 28 / 40 ) | 81.6340833333333 | 1.26619497978487 | 64.4719688804985 |
| Winsorized Mean ( 29 / 40 ) | 81.5833333333333 | 1.24502915456023 | 65.5272473214899 |
| Winsorized Mean ( 30 / 40 ) | 81.5583333333333 | 1.23596067339586 | 65.9878061566864 |
| Winsorized Mean ( 31 / 40 ) | 81.2121666666667 | 1.19187190168184 | 68.1383347925807 |
| Winsorized Mean ( 32 / 40 ) | 81.3668333333333 | 1.16916084120009 | 69.5942170367372 |
| Winsorized Mean ( 33 / 40 ) | 81.2595833333333 | 1.11317338161343 | 72.998137285277 |
| Winsorized Mean ( 34 / 40 ) | 80.8260833333333 | 1.04709491606395 | 77.1907895772814 |
| Winsorized Mean ( 35 / 40 ) | 80.8231666666667 | 1.02933106955292 | 78.5200884898686 |
| Winsorized Mean ( 36 / 40 ) | 80.9461666666667 | 1.01619348071259 | 79.6562546434608 |
| Winsorized Mean ( 37 / 40 ) | 80.9060833333333 | 1.00931969000724 | 80.1590260591791 |
| Winsorized Mean ( 38 / 40 ) | 80.8459166666667 | 1.00228683544276 | 80.6614571875054 |
| Winsorized Mean ( 39 / 40 ) | 80.1601666666667 | 0.92270507185477 | 86.8751772497935 |
| Winsorized Mean ( 40 / 40 ) | 80.7335 | 0.856767773382614 | 94.2303183058055 |
| Trimmed Mean ( 1 / 40 ) | 83.9576271186441 | 2.25926723732057 | 37.1614414318758 |
| Trimmed Mean ( 2 / 40 ) | 83.756724137931 | 2.20235910986685 | 38.0304573230996 |
| Trimmed Mean ( 3 / 40 ) | 83.5787719298246 | 2.15056614961316 | 38.8636136325583 |
| Trimmed Mean ( 4 / 40 ) | 83.4004464285714 | 2.09802735836954 | 39.7518393150913 |
| Trimmed Mean ( 5 / 40 ) | 83.215 | 2.04712996169435 | 40.6495931167581 |
| Trimmed Mean ( 6 / 40 ) | 83.0364814814815 | 1.99704238874318 | 41.5797290781291 |
| Trimmed Mean ( 7 / 40 ) | 82.8592452830189 | 1.9482040094661 | 42.5310926783927 |
| Trimmed Mean ( 8 / 40 ) | 82.716826923077 | 1.90780428292179 | 43.3570820987973 |
| Trimmed Mean ( 9 / 40 ) | 82.6073529411765 | 1.87370120901528 | 44.0877940109729 |
| Trimmed Mean ( 10 / 40 ) | 82.5067 | 1.84411546262563 | 44.7405282761025 |
| Trimmed Mean ( 11 / 40 ) | 82.408775510204 | 1.81240851980264 | 45.4692055404694 |
| Trimmed Mean ( 12 / 40 ) | 82.3028125 | 1.77780373267429 | 46.2946561464323 |
| Trimmed Mean ( 13 / 40 ) | 82.2040425531915 | 1.74166321789412 | 47.1985867925638 |
| Trimmed Mean ( 14 / 40 ) | 82.1045652173913 | 1.70691824222593 | 48.1010532234524 |
| Trimmed Mean ( 15 / 40 ) | 82.0287777777778 | 1.67417654738223 | 48.9964919805138 |
| Trimmed Mean ( 16 / 40 ) | 81.9507954545455 | 1.6397720043559 | 49.976945109961 |
| Trimmed Mean ( 17 / 40 ) | 81.8555813953488 | 1.60312510812549 | 51.0600083427434 |
| Trimmed Mean ( 18 / 40 ) | 81.7333333333333 | 1.56527362048311 | 52.216642677532 |
| Trimmed Mean ( 19 / 40 ) | 81.6040243902439 | 1.52455794590934 | 53.5263514313787 |
| Trimmed Mean ( 20 / 40 ) | 81.51375 | 1.49002042479205 | 54.7064648535784 |
| Trimmed Mean ( 21 / 40 ) | 81.4305128205128 | 1.45711176254922 | 55.8848778202502 |
| Trimmed Mean ( 22 / 40 ) | 81.3590789473684 | 1.42320705521795 | 57.1660171645993 |
| Trimmed Mean ( 23 / 40 ) | 81.292972972973 | 1.38731703824169 | 58.5972569586582 |
| Trimmed Mean ( 24 / 40 ) | 81.2065277777778 | 1.34980857275679 | 60.1615143189712 |
| Trimmed Mean ( 25 / 40 ) | 81.1911428571429 | 1.3330187342547 | 60.9077282792559 |
| Trimmed Mean ( 26 / 40 ) | 81.1757352941176 | 1.31570326431411 | 61.6976011961448 |
| Trimmed Mean ( 27 / 40 ) | 81.1475757575758 | 1.2982742904955 | 62.5041844790788 |
| Trimmed Mean ( 28 / 40 ) | 81.10390625 | 1.28083849600044 | 63.320946788573 |
| Trimmed Mean ( 29 / 40 ) | 81.0672580645161 | 1.26290064602989 | 64.1913188653142 |
| Trimmed Mean ( 30 / 40 ) | 81.0316666666667 | 1.2436859552069 | 65.154443794604 |
| Trimmed Mean ( 31 / 40 ) | 80.9953448275862 | 1.22112206330805 | 66.3286228799827 |
| Trimmed Mean ( 32 / 40 ) | 80.9803571428571 | 1.1998593793226 | 67.491539874094 |
| Trimmed Mean ( 33 / 40 ) | 80.9535185185185 | 1.17660241055474 | 68.8027814598397 |
| Trimmed Mean ( 34 / 40 ) | 80.9321153846154 | 1.15626979087994 | 69.9941449849906 |
| Trimmed Mean ( 35 / 40 ) | 80.9396 | 1.1409567399551 | 70.9401129469509 |
| Trimmed Mean ( 36 / 40 ) | 80.9479166666667 | 1.12360165097111 | 72.0432518025445 |
| Trimmed Mean ( 37 / 40 ) | 80.9480434782609 | 1.10284093481074 | 73.3995637296076 |
| Trimmed Mean ( 38 / 40 ) | 80.9511363636364 | 1.07649292645572 | 75.1989487103852 |
| Trimmed Mean ( 39 / 40 ) | 80.9590476190476 | 1.04283122226602 | 77.6338930887852 |
| Trimmed Mean ( 40 / 40 ) | 81.0205 | 1.01490001717992 | 79.8310164829144 |
| Median | 80.91 | ||
| Midrange | 96.955 | ||
| Midmean - Weighted Average at Xnp | 80.7768852459017 | ||
| Midmean - Weighted Average at X(n+1)p | 81.0316666666667 | ||
| Midmean - Empirical Distribution Function | 80.7768852459017 | ||
| Midmean - Empirical Distribution Function - Averaging | 81.0316666666667 | ||
| Midmean - Empirical Distribution Function - Interpolation | 81.0316666666667 | ||
| Midmean - Closest Observation | 80.7768852459017 | ||
| Midmean - True Basic - Statistics Graphics Toolkit | 81.0316666666667 | ||
| Midmean - MS Excel (old versions) | 81.0672580645161 | ||
| Number of observations | 120 | ||
