Central Tendency - Ungrouped Data | |||
Measure | Value | S.E. | Value/S.E. |
Arithmetic Mean | 85.0583333333333 | 3.90351590123867 | 21.7901849218399 |
Geometric Mean | 74.403696749972 | ||
Harmonic Mean | 64.5469574728297 | ||
Quadratic Mean | 95.1218954815346 | ||
Winsorized Mean ( 1 / 40 ) | 85.0833333333333 | 3.89730897845887 | 21.8313030359164 |
Winsorized Mean ( 2 / 40 ) | 84.8666666666667 | 3.85078720413155 | 22.0387838038966 |
Winsorized Mean ( 3 / 40 ) | 84.9416666666667 | 3.84105231542381 | 22.1141655180228 |
Winsorized Mean ( 4 / 40 ) | 85.0416666666667 | 3.82867325743939 | 22.2117848529969 |
Winsorized Mean ( 5 / 40 ) | 85.0833333333333 | 3.82368014857651 | 22.2516868637687 |
Winsorized Mean ( 6 / 40 ) | 85.1333333333333 | 3.80433435052795 | 22.3779840280124 |
Winsorized Mean ( 7 / 40 ) | 85.25 | 3.77583073761307 | 22.5778129169772 |
Winsorized Mean ( 8 / 40 ) | 85.3166666666667 | 3.75145132201862 | 22.7423094006078 |
Winsorized Mean ( 9 / 40 ) | 85.2416666666667 | 3.74030953034903 | 22.7900033339519 |
Winsorized Mean ( 10 / 40 ) | 85.075 | 3.71595022362057 | 22.8945477953977 |
Winsorized Mean ( 11 / 40 ) | 85.1666666666667 | 3.70627322942699 | 22.979057774387 |
Winsorized Mean ( 12 / 40 ) | 85.1666666666667 | 3.6569708832698 | 23.2888555542769 |
Winsorized Mean ( 13 / 40 ) | 85.0583333333333 | 3.64165705182406 | 23.3570410730271 |
Winsorized Mean ( 14 / 40 ) | 85.0583333333333 | 3.64165705182406 | 23.3570410730271 |
Winsorized Mean ( 15 / 40 ) | 85.0583333333333 | 3.64165705182406 | 23.3570410730271 |
Winsorized Mean ( 16 / 40 ) | 85.0583333333333 | 3.60951698455782 | 23.5650181720237 |
Winsorized Mean ( 17 / 40 ) | 84.9166666666667 | 3.58983515404816 | 23.6547537763422 |
Winsorized Mean ( 18 / 40 ) | 84.7666666666667 | 3.56917893667149 | 23.749626502536 |
Winsorized Mean ( 19 / 40 ) | 84.925 | 3.47919310528541 | 24.4093953483025 |
Winsorized Mean ( 20 / 40 ) | 85.0916666666667 | 3.4632523822979 | 24.5698716910165 |
Winsorized Mean ( 21 / 40 ) | 84.9166666666667 | 3.43960666708802 | 24.6879003576759 |
Winsorized Mean ( 22 / 40 ) | 84.9166666666667 | 3.43960666708802 | 24.6879003576759 |
Winsorized Mean ( 23 / 40 ) | 84.5333333333333 | 3.34485962351592 | 25.2726101684581 |
Winsorized Mean ( 24 / 40 ) | 83.9333333333333 | 3.26666666666667 | 25.6938775510204 |
Winsorized Mean ( 25 / 40 ) | 83.725 | 3.23993728757996 | 25.8415495636144 |
Winsorized Mean ( 26 / 40 ) | 83.725 | 3.19181293592328 | 26.2311738440841 |
Winsorized Mean ( 27 / 40 ) | 83.95 | 3.17081071908219 | 26.4758787065978 |
Winsorized Mean ( 28 / 40 ) | 83.7166666666667 | 3.14119603203483 | 26.6512073149526 |
Winsorized Mean ( 29 / 40 ) | 83.475 | 3.11072425524296 | 26.8345867877255 |
Winsorized Mean ( 30 / 40 ) | 83.225 | 3.02502314966719 | 27.512186149437 |
Winsorized Mean ( 31 / 40 ) | 83.225 | 2.96925097129431 | 28.0289543742144 |
Winsorized Mean ( 32 / 40 ) | 82.9583333333333 | 2.87927968722623 | 28.8121830266693 |
Winsorized Mean ( 33 / 40 ) | 82.9583333333333 | 2.82090028324822 | 29.4084600671557 |
Winsorized Mean ( 34 / 40 ) | 82.675 | 2.78635034575692 | 29.671430272901 |
Winsorized Mean ( 35 / 40 ) | 82.3833333333333 | 2.75096579255057 | 29.9470584317776 |
Winsorized Mean ( 36 / 40 ) | 82.3833333333333 | 2.68792776110636 | 30.6493851975487 |
Winsorized Mean ( 37 / 40 ) | 81.7666666666667 | 2.61378947599775 | 31.2828050680915 |
Winsorized Mean ( 38 / 40 ) | 81.1333333333333 | 2.47242306594027 | 32.8153116070684 |
Winsorized Mean ( 39 / 40 ) | 81.1333333333333 | 2.47242306594027 | 32.8153116070684 |
Winsorized Mean ( 40 / 40 ) | 78.8 | 2.19933144922029 | 35.8290697966131 |
Trimmed Mean ( 1 / 40 ) | 84.8983050847458 | 3.86000846350528 | 21.994331330468 |
Trimmed Mean ( 2 / 40 ) | 84.7068965517241 | 3.81842407348953 | 22.1837320636608 |
Trimmed Mean ( 3 / 40 ) | 84.6228070175439 | 3.79855647066224 | 22.2776224787283 |
Trimmed Mean ( 4 / 40 ) | 84.5089285714286 | 3.77964463508431 | 22.3589614184836 |
Trimmed Mean ( 5 / 40 ) | 84.3636363636364 | 3.76163698489452 | 22.4273731629109 |
Trimmed Mean ( 6 / 40 ) | 84.2037037037037 | 3.74204496625399 | 22.502055550657 |
Trimmed Mean ( 7 / 40 ) | 84.0283018867924 | 3.72361535731483 | 22.5663216587942 |
Trimmed Mean ( 8 / 40 ) | 83.8269230769231 | 3.70763201494831 | 22.6092888234195 |
Trimmed Mean ( 9 / 40 ) | 83.607843137255 | 3.69298781092038 | 22.6396206589206 |
Trimmed Mean ( 10 / 40 ) | 83.39 | 3.67730948527657 | 22.6769055837921 |
Trimmed Mean ( 11 / 40 ) | 83.1836734693878 | 3.66238655905801 | 22.7129692969338 |
Trimmed Mean ( 12 / 40 ) | 82.9583333333333 | 3.64571115083486 | 22.7550483022595 |
Trimmed Mean ( 13 / 40 ) | 82.7234042553192 | 3.6324626324118 | 22.7733668936312 |
Trimmed Mean ( 14 / 40 ) | 82.4891304347826 | 3.61816746785195 | 22.7985938096323 |
Trimmed Mean ( 15 / 40 ) | 82.2444444444444 | 3.60050319382123 | 22.8424861795937 |
Trimmed Mean ( 16 / 40 ) | 81.9886363636364 | 3.57898977292732 | 22.9083181471559 |
Trimmed Mean ( 17 / 40 ) | 81.7209302325581 | 3.55706465171327 | 22.9742605868007 |
Trimmed Mean ( 18 / 40 ) | 81.452380952381 | 3.53307480037006 | 23.0542475194268 |
Trimmed Mean ( 19 / 40 ) | 81.1829268292683 | 3.50674182054499 | 23.150528605682 |
Trimmed Mean ( 20 / 40 ) | 80.8875 | 3.48559393945415 | 23.2062315361574 |
Trimmed Mean ( 21 / 40 ) | 80.5641025641026 | 3.4610524936065 | 23.2773419972469 |
Trimmed Mean ( 22 / 40 ) | 80.2368421052632 | 3.43382904381155 | 23.3665803048251 |
Trimmed Mean ( 23 / 40 ) | 79.8918918918919 | 3.40027263142235 | 23.495731240372 |
Trimmed Mean ( 24 / 40 ) | 79.5555555555556 | 3.37143069759777 | 23.596971936051 |
Trimmed Mean ( 25 / 40 ) | 79.2428571428571 | 3.34598648451688 | 23.6829579287134 |
Trimmed Mean ( 26 / 40 ) | 78.9264705882353 | 3.31737359862161 | 23.7918546831836 |
Trimmed Mean ( 27 / 40 ) | 78.5909090909091 | 3.28725569595605 | 23.9077566091348 |
Trimmed Mean ( 28 / 40 ) | 78.21875 | 3.2512565298385 | 24.0580062760798 |
Trimmed Mean ( 29 / 40 ) | 77.8387096774194 | 3.21009393830591 | 24.2481096109287 |
Trimmed Mean ( 30 / 40 ) | 77.45 | 3.16276223762575 | 24.4880880006146 |
Trimmed Mean ( 31 / 40 ) | 77.051724137931 | 3.11567883065591 | 24.7303166744276 |
Trimmed Mean ( 32 / 40 ) | 76.625 | 3.06367092643034 | 25.0108454334814 |
Trimmed Mean ( 33 / 40 ) | 76.1851851851852 | 3.0112848636008 | 25.2998931140926 |
Trimmed Mean ( 34 / 40 ) | 75.7115384615385 | 2.95240482015382 | 25.6440234566457 |
Trimmed Mean ( 35 / 40 ) | 75.22 | 2.88221711711732 | 26.0979644986746 |
Trimmed Mean ( 36 / 40 ) | 74.7083333333333 | 2.79769382188977 | 26.7035415915777 |
Trimmed Mean ( 37 / 40 ) | 74.1521739130435 | 2.69835652097786 | 27.4804953817487 |
Trimmed Mean ( 38 / 40 ) | 73.5909090909091 | 2.58478189481868 | 28.4708389665007 |
Trimmed Mean ( 39 / 40 ) | 73.0238095238095 | 2.46732140333628 | 29.5963912221033 |
Trimmed Mean ( 40 / 40 ) | 72.4 | 2.30601220892091 | 31.3961911042437 |
Median | 68 | ||
Midrange | 94.5 | ||
Midmean - Weighted Average at Xnp | 76.0952380952381 | ||
Midmean - Weighted Average at X(n+1)p | 77.45 | ||
Midmean - Empirical Distribution Function | 76.0952380952381 | ||
Midmean - Empirical Distribution Function - Averaging | 77.45 | ||
Midmean - Empirical Distribution Function - Interpolation | 77.45 | ||
Midmean - Closest Observation | 76.0952380952381 | ||
Midmean - True Basic - Statistics Graphics Toolkit | 77.45 | ||
Midmean - MS Excel (old versions) | 76.9375 | ||
Number of observations | 120 |