| Central Tendency - Ungrouped Data | |||
| Measure | Value | S.E. | Value/S.E. |
| Arithmetic Mean | 80.445205479452 | 1.33025655631288 | 60.4734516042718 |
| Geometric Mean | 78.534300089989 | ||
| Harmonic Mean | 76.1760297217087 | ||
| Quadratic Mean | 82.0245118726421 | ||
| Winsorized Mean ( 1 / 48 ) | 80.4794520547945 | 1.32171354897135 | 60.890237614216 |
| Winsorized Mean ( 2 / 48 ) | 80.4794520547945 | 1.32171354897135 | 60.890237614216 |
| Winsorized Mean ( 3 / 48 ) | 80.5616438356164 | 1.30291532428329 | 61.8318338376534 |
| Winsorized Mean ( 4 / 48 ) | 80.6986301369863 | 1.27422653794607 | 63.3314624470661 |
| Winsorized Mean ( 5 / 48 ) | 80.7328767123288 | 1.26749601943030 | 63.6947773205756 |
| Winsorized Mean ( 6 / 48 ) | 80.7328767123288 | 1.26749601943030 | 63.6947773205756 |
| Winsorized Mean ( 7 / 48 ) | 80.972602739726 | 1.2232183482863 | 66.1963604888421 |
| Winsorized Mean ( 8 / 48 ) | 81.2465753424657 | 1.17819753145660 | 68.958364937347 |
| Winsorized Mean ( 9 / 48 ) | 81.2465753424657 | 1.17819753145660 | 68.958364937347 |
| Winsorized Mean ( 10 / 48 ) | 81.4520547945205 | 1.14792051588796 | 70.9561800378784 |
| Winsorized Mean ( 11 / 48 ) | 81.527397260274 | 1.13746667635521 | 71.6745368941382 |
| Winsorized Mean ( 12 / 48 ) | 81.6095890410959 | 1.12641548122403 | 72.450699055036 |
| Winsorized Mean ( 13 / 48 ) | 81.6095890410959 | 1.12641548122403 | 72.450699055036 |
| Winsorized Mean ( 14 / 48 ) | 81.6095890410959 | 1.12641548122403 | 72.450699055036 |
| Winsorized Mean ( 15 / 48 ) | 81.6095890410959 | 1.12641548122403 | 72.450699055036 |
| Winsorized Mean ( 16 / 48 ) | 81.6095890410959 | 1.12641548122403 | 72.450699055036 |
| Winsorized Mean ( 17 / 48 ) | 81.6095890410959 | 1.12641548122403 | 72.450699055036 |
| Winsorized Mean ( 18 / 48 ) | 81.6095890410959 | 1.12641548122403 | 72.450699055036 |
| Winsorized Mean ( 19 / 48 ) | 81.7397260273973 | 1.10941582650519 | 73.6781683427831 |
| Winsorized Mean ( 20 / 48 ) | 81.7397260273973 | 1.10941582650519 | 73.6781683427831 |
| Winsorized Mean ( 21 / 48 ) | 81.7397260273973 | 1.10941582650519 | 73.6781683427831 |
| Winsorized Mean ( 22 / 48 ) | 81.7397260273973 | 1.10941582650519 | 73.6781683427831 |
| Winsorized Mean ( 23 / 48 ) | 82.3698630136986 | 1.03207939565944 | 79.8096186786767 |
| Winsorized Mean ( 24 / 48 ) | 82.3698630136986 | 1.03207939565944 | 79.8096186786767 |
| Winsorized Mean ( 25 / 48 ) | 82.3698630136986 | 1.03207939565944 | 79.8096186786767 |
| Winsorized Mean ( 26 / 48 ) | 82.3698630136986 | 1.03207939565944 | 79.8096186786767 |
| Winsorized Mean ( 27 / 48 ) | 82.3698630136986 | 0.947014486809335 | 86.9784614290514 |
| Winsorized Mean ( 28 / 48 ) | 82.1780821917808 | 0.88308970050131 | 93.0574574079284 |
| Winsorized Mean ( 29 / 48 ) | 82.1780821917808 | 0.840163565260817 | 97.8120042211897 |
| Winsorized Mean ( 30 / 48 ) | 82.3835616438356 | 0.818322319972051 | 100.673731649711 |
| Winsorized Mean ( 31 / 48 ) | 82.3835616438356 | 0.818322319972051 | 100.673731649711 |
| Winsorized Mean ( 32 / 48 ) | 82.3835616438356 | 0.818322319972051 | 100.673731649711 |
| Winsorized Mean ( 33 / 48 ) | 82.3835616438356 | 0.818322319972051 | 100.673731649711 |
| Winsorized Mean ( 34 / 48 ) | 82.3835616438356 | 0.818322319972051 | 100.673731649711 |
| Winsorized Mean ( 35 / 48 ) | 81.9041095890411 | 0.768924600834731 | 106.517738540459 |
| Winsorized Mean ( 36 / 48 ) | 81.4109589041096 | 0.721730405852391 | 112.799680107644 |
| Winsorized Mean ( 37 / 48 ) | 81.4109589041096 | 0.721730405852391 | 112.799680107644 |
| Winsorized Mean ( 38 / 48 ) | 81.6712328767123 | 0.693727180488566 | 117.728172073630 |
| Winsorized Mean ( 39 / 48 ) | 81.4041095890411 | 0.669504344126517 | 121.588620452115 |
| Winsorized Mean ( 40 / 48 ) | 81.6780821917808 | 0.64053996260542 | 127.514420582835 |
| Winsorized Mean ( 41 / 48 ) | 81.958904109589 | 0.611716550882357 | 133.981831930768 |
| Winsorized Mean ( 42 / 48 ) | 82.2465753424657 | 0.583148786918094 | 141.038748922267 |
| Winsorized Mean ( 43 / 48 ) | 82.2465753424657 | 0.583148786918094 | 141.038748922267 |
| Winsorized Mean ( 44 / 48 ) | 82.5479452054795 | 0.554287807229553 | 148.926142932985 |
| Winsorized Mean ( 45 / 48 ) | 82.5479452054795 | 0.554287807229553 | 148.926142932985 |
| Winsorized Mean ( 46 / 48 ) | 82.5479452054795 | 0.554287807229553 | 148.926142932985 |
| Winsorized Mean ( 47 / 48 ) | 82.5479452054795 | 0.554287807229553 | 148.926142932985 |
| Winsorized Mean ( 48 / 48 ) | 82.5479452054795 | 0.554287807229553 | 148.926142932985 |
| Trimmed Mean ( 1 / 48 ) | 80.6597222222222 | 1.29490676384207 | 62.2899844795773 |
| Trimmed Mean ( 2 / 48 ) | 80.8450704225352 | 1.2654911942427 | 63.884340555143 |
| Trimmed Mean ( 3 / 48 ) | 81.0357142857143 | 1.23312497165243 | 65.715735346048 |
| Trimmed Mean ( 4 / 48 ) | 81.2028985507246 | 1.20518290002841 | 67.3780706221526 |
| Trimmed Mean ( 5 / 48 ) | 81.3382352941177 | 1.18359430926079 | 68.7213808462102 |
| Trimmed Mean ( 6 / 48 ) | 81.4701492537313 | 1.16164580398222 | 70.133382287824 |
| Trimmed Mean ( 7 / 48 ) | 81.6060606060606 | 1.13748190793571 | 71.7427328177542 |
| Trimmed Mean ( 8 / 48 ) | 81.7076923076923 | 1.11996284512473 | 72.955716935942 |
| Trimmed Mean ( 9 / 48 ) | 81.7734375 | 1.10881926963120 | 73.7482110382141 |
| Trimmed Mean ( 10 / 48 ) | 81.8412698412698 | 1.09651179675978 | 74.6378379905378 |
| Trimmed Mean ( 11 / 48 ) | 81.8870967741936 | 1.08751646592280 | 75.2973397094356 |
| Trimmed Mean ( 12 / 48 ) | 81.9262295081967 | 1.07899404901455 | 75.9283423138618 |
| Trimmed Mean ( 13 / 48 ) | 81.9583333333333 | 1.07096881670252 | 76.5272826389849 |
| Trimmed Mean ( 14 / 48 ) | 81.9915254237288 | 1.06199922457277 | 77.2048825710893 |
| Trimmed Mean ( 15 / 48 ) | 82.0258620689655 | 1.05198186681636 | 77.9726957815373 |
| Trimmed Mean ( 16 / 48 ) | 82.061403508772 | 1.04079832493788 | 78.8446729232292 |
| Trimmed Mean ( 17 / 48 ) | 82.0982142857143 | 1.02831219417952 | 79.8378301360318 |
| Trimmed Mean ( 18 / 48 ) | 82.1363636363636 | 1.01436531533204 | 80.9731586785154 |
| Trimmed Mean ( 19 / 48 ) | 82.175925925926 | 0.998772932138707 | 82.2768852475405 |
| Trimmed Mean ( 20 / 48 ) | 82.2075471698113 | 0.983303285617521 | 83.6034500974787 |
| Trimmed Mean ( 21 / 48 ) | 82.2403846153846 | 0.96595280581387 | 85.1391332168577 |
| Trimmed Mean ( 22 / 48 ) | 82.2745098039216 | 0.946455942578166 | 86.9290435007509 |
| Trimmed Mean ( 23 / 48 ) | 82.31 | 0.92449221661724 | 89.0326587076915 |
| Trimmed Mean ( 24 / 48 ) | 82.3061224489796 | 0.908663698326207 | 90.5793007914705 |
| Trimmed Mean ( 25 / 48 ) | 82.3020833333333 | 0.890756601285625 | 92.3957040728602 |
| Trimmed Mean ( 26 / 48 ) | 82.2978723404255 | 0.870449541243662 | 94.5464021071707 |
| Trimmed Mean ( 27 / 48 ) | 82.2934782608696 | 0.847347403059192 | 97.1189360630175 |
| Trimmed Mean ( 28 / 48 ) | 82.2888888888889 | 0.83093203756222 | 99.0320329088613 |
| Trimmed Mean ( 29 / 48 ) | 82.2954545454545 | 0.819236954612518 | 100.453787005224 |
| Trimmed Mean ( 30 / 48 ) | 82.3023255813954 | 0.810341801427899 | 101.564951279042 |
| Trimmed Mean ( 31 / 48 ) | 82.297619047619 | 0.802280842456981 | 102.579564028455 |
| Trimmed Mean ( 32 / 48 ) | 82.2926829268293 | 0.792825364174422 | 103.796733360721 |
| Trimmed Mean ( 33 / 48 ) | 82.2875 | 0.781752686377366 | 105.260271482174 |
| Trimmed Mean ( 34 / 48 ) | 82.2820512820513 | 0.768792193765834 | 107.027688300271 |
| Trimmed Mean ( 35 / 48 ) | 82.2763157894737 | 0.753610882936868 | 109.176124777867 |
| Trimmed Mean ( 36 / 48 ) | 82.2972972972973 | 0.741664709906984 | 110.962940797896 |
| Trimmed Mean ( 37 / 48 ) | 82.3472222222222 | 0.732692774609437 | 112.389837972836 |
| Trimmed Mean ( 38 / 48 ) | 82.4 | 0.721856360057086 | 114.150133682390 |
| Trimmed Mean ( 39 / 48 ) | 82.4411764705882 | 0.712481952374103 | 115.709845275212 |
| Trimmed Mean ( 40 / 48 ) | 82.5 | 0.703719720642704 | 117.234173748397 |
| Trimmed Mean ( 41 / 48 ) | 82.546875 | 0.696835850206443 | 118.459569747373 |
| Trimmed Mean ( 42 / 48 ) | 82.5806451612903 | 0.69200632866248 | 119.335101054500 |
| Trimmed Mean ( 43 / 48 ) | 82.6 | 0.689386856045382 | 119.816615700840 |
| Trimmed Mean ( 44 / 48 ) | 82.6206896551724 | 0.685529097045402 | 120.521054483703 |
| Trimmed Mean ( 45 / 48 ) | 82.625 | 0.684030501712261 | 120.791397157252 |
| Trimmed Mean ( 46 / 48 ) | 82.6296296296296 | 0.681335626842981 | 121.275956186968 |
| Trimmed Mean ( 47 / 48 ) | 82.6346153846154 | 0.67715849293235 | 122.031424322505 |
| Trimmed Mean ( 48 / 48 ) | 82.64 | 0.671130632984825 | 123.135490973586 |
| Median | 80.5 | ||
| Midrange | 65 | ||
| Midmean - Weighted Average at Xnp | 81.375 | ||
| Midmean - Weighted Average at X(n+1)p | 81.375 | ||
| Midmean - Empirical Distribution Function | 81.375 | ||
| Midmean - Empirical Distribution Function - Averaging | 81.375 | ||
| Midmean - Empirical Distribution Function - Interpolation | 81.375 | ||
| Midmean - Closest Observation | 81.375 | ||
| Midmean - True Basic - Statistics Graphics Toolkit | 81.375 | ||
| Midmean - MS Excel (old versions) | 81.375 | ||
| Number of observations | 146 | ||
