| Central Tendency - Ungrouped Data | |||
| Measure | Value | S.E. | Value/S.E. |
| Arithmetic Mean | 12.9197530864198 | 0.248757112140656 | 51.9372209109522 |
| Geometric Mean | 12.5675697475656 | ||
| Harmonic Mean | 12.2416261297238 | ||
| Quadratic Mean | 13.299726164451 | ||
| Winsorized Mean ( 1 / 54 ) | 12.9197530864198 | 0.246278706068825 | 52.4598869819026 |
| Winsorized Mean ( 2 / 54 ) | 12.9074074074074 | 0.243275572201619 | 53.0567343469659 |
| Winsorized Mean ( 3 / 54 ) | 12.9074074074074 | 0.243275572201619 | 53.0567343469659 |
| Winsorized Mean ( 4 / 54 ) | 12.8827160493827 | 0.237789097346891 | 54.1770678013433 |
| Winsorized Mean ( 5 / 54 ) | 12.8518518518519 | 0.231553933910992 | 55.5026279829564 |
| Winsorized Mean ( 6 / 54 ) | 12.8888888888889 | 0.227170578852824 | 56.7366115540832 |
| Winsorized Mean ( 7 / 54 ) | 12.8888888888889 | 0.227170578852824 | 56.7366115540832 |
| Winsorized Mean ( 8 / 54 ) | 12.8395061728395 | 0.218026924047137 | 58.8895441650301 |
| Winsorized Mean ( 9 / 54 ) | 12.8395061728395 | 0.218026924047137 | 58.8895441650301 |
| Winsorized Mean ( 10 / 54 ) | 12.8395061728395 | 0.218026924047137 | 58.8895441650301 |
| Winsorized Mean ( 11 / 54 ) | 12.8395061728395 | 0.218026924047137 | 58.8895441650301 |
| Winsorized Mean ( 12 / 54 ) | 12.7654320987654 | 0.205652656430051 | 62.0727799988684 |
| Winsorized Mean ( 13 / 54 ) | 12.7654320987654 | 0.205652656430051 | 62.0727799988684 |
| Winsorized Mean ( 14 / 54 ) | 12.7654320987654 | 0.205652656430051 | 62.0727799988684 |
| Winsorized Mean ( 15 / 54 ) | 12.6728395061728 | 0.191817560333338 | 66.0671498696478 |
| Winsorized Mean ( 16 / 54 ) | 12.7716049382716 | 0.181219846386462 | 70.4757519274981 |
| Winsorized Mean ( 17 / 54 ) | 12.7716049382716 | 0.181219846386462 | 70.4757519274981 |
| Winsorized Mean ( 18 / 54 ) | 12.6604938271605 | 0.166186005825053 | 76.1826711238757 |
| Winsorized Mean ( 19 / 54 ) | 12.6604938271605 | 0.166186005825053 | 76.1826711238757 |
| Winsorized Mean ( 20 / 54 ) | 12.6604938271605 | 0.166186005825053 | 76.1826711238757 |
| Winsorized Mean ( 21 / 54 ) | 12.6604938271605 | 0.166186005825053 | 76.1826711238757 |
| Winsorized Mean ( 22 / 54 ) | 12.6604938271605 | 0.166186005825053 | 76.1826711238757 |
| Winsorized Mean ( 23 / 54 ) | 12.6604938271605 | 0.166186005825053 | 76.1826711238757 |
| Winsorized Mean ( 24 / 54 ) | 12.5123456790123 | 0.149183719274392 | 83.872058826999 |
| Winsorized Mean ( 25 / 54 ) | 12.5123456790123 | 0.149183719274392 | 83.872058826999 |
| Winsorized Mean ( 26 / 54 ) | 12.5123456790123 | 0.149183719274392 | 83.872058826999 |
| Winsorized Mean ( 27 / 54 ) | 12.5123456790123 | 0.149183719274392 | 83.872058826999 |
| Winsorized Mean ( 28 / 54 ) | 12.5123456790123 | 0.149183719274392 | 83.872058826999 |
| Winsorized Mean ( 29 / 54 ) | 12.5123456790123 | 0.149183719274392 | 83.872058826999 |
| Winsorized Mean ( 30 / 54 ) | 12.5123456790123 | 0.149183719274392 | 83.872058826999 |
| Winsorized Mean ( 31 / 54 ) | 12.5123456790123 | 0.149183719274392 | 83.872058826999 |
| Winsorized Mean ( 32 / 54 ) | 12.5123456790123 | 0.149183719274392 | 83.872058826999 |
| Winsorized Mean ( 33 / 54 ) | 12.5123456790123 | 0.149183719274392 | 83.872058826999 |
| Winsorized Mean ( 34 / 54 ) | 12.7222222222222 | 0.129366455386078 | 98.3425122397794 |
| Winsorized Mean ( 35 / 54 ) | 12.7222222222222 | 0.129366455386078 | 98.3425122397794 |
| Winsorized Mean ( 36 / 54 ) | 12.7222222222222 | 0.129366455386078 | 98.3425122397794 |
| Winsorized Mean ( 37 / 54 ) | 12.7222222222222 | 0.129366455386078 | 98.3425122397794 |
| Winsorized Mean ( 38 / 54 ) | 12.7222222222222 | 0.129366455386078 | 98.3425122397794 |
| Winsorized Mean ( 39 / 54 ) | 12.7222222222222 | 0.129366455386078 | 98.3425122397794 |
| Winsorized Mean ( 40 / 54 ) | 12.4753086419753 | 0.104422790174048 | 119.469213772031 |
| Winsorized Mean ( 41 / 54 ) | 12.4753086419753 | 0.104422790174048 | 119.469213772031 |
| Winsorized Mean ( 42 / 54 ) | 12.4753086419753 | 0.104422790174048 | 119.469213772031 |
| Winsorized Mean ( 43 / 54 ) | 12.4753086419753 | 0.104422790174048 | 119.469213772031 |
| Winsorized Mean ( 44 / 54 ) | 12.4753086419753 | 0.104422790174048 | 119.469213772031 |
| Winsorized Mean ( 45 / 54 ) | 12.4753086419753 | 0.104422790174048 | 119.469213772031 |
| Winsorized Mean ( 46 / 54 ) | 12.4753086419753 | 0.104422790174048 | 119.469213772031 |
| Winsorized Mean ( 47 / 54 ) | 12.4753086419753 | 0.104422790174048 | 119.469213772031 |
| Winsorized Mean ( 48 / 54 ) | 12.4753086419753 | 0.104422790174048 | 119.469213772031 |
| Winsorized Mean ( 49 / 54 ) | 12.4753086419753 | 0.104422790174048 | 119.469213772031 |
| Winsorized Mean ( 50 / 54 ) | 12.4753086419753 | 0.104422790174048 | 119.469213772031 |
| Winsorized Mean ( 51 / 54 ) | 12.4753086419753 | 0.104422790174048 | 119.469213772031 |
| Winsorized Mean ( 52 / 54 ) | 12.4753086419753 | 0.104422790174048 | 119.469213772031 |
| Winsorized Mean ( 53 / 54 ) | 12.4753086419753 | 0.104422790174048 | 119.469213772031 |
| Winsorized Mean ( 54 / 54 ) | 12.4753086419753 | 0.104422790174048 | 119.469213772031 |
| Trimmed Mean ( 1 / 54 ) | 12.8875 | 0.239231523211539 | 53.8704089954078 |
| Trimmed Mean ( 2 / 54 ) | 12.8544303797468 | 0.231521117145276 | 55.5216324897089 |
| Trimmed Mean ( 3 / 54 ) | 12.8269230769231 | 0.224835839670935 | 57.0501708966697 |
| Trimmed Mean ( 4 / 54 ) | 12.7987012987013 | 0.217512671287061 | 58.8411756564302 |
| Trimmed Mean ( 5 / 54 ) | 12.7763157894737 | 0.211262980057698 | 60.4758854863467 |
| Trimmed Mean ( 6 / 54 ) | 12.76 | 0.206099387418806 | 61.9118773704597 |
| Trimmed Mean ( 7 / 54 ) | 12.7364864864865 | 0.201429321376171 | 63.2305485590202 |
| Trimmed Mean ( 8 / 54 ) | 12.7123287671233 | 0.196319200643476 | 64.7533645484297 |
| Trimmed Mean ( 9 / 54 ) | 12.6944444444444 | 0.192436070419004 | 65.9670737237773 |
| Trimmed Mean ( 10 / 54 ) | 12.6760563380282 | 0.188191317568733 | 67.357285669667 |
| Trimmed Mean ( 11 / 54 ) | 12.6571428571429 | 0.183539323596923 | 68.961477078011 |
| Trimmed Mean ( 12 / 54 ) | 12.6376811594203 | 0.178425364816355 | 70.8289495298365 |
| Trimmed Mean ( 13 / 54 ) | 12.625 | 0.174626117879748 | 72.2973181405424 |
| Trimmed Mean ( 14 / 54 ) | 12.6119402985075 | 0.170455714734952 | 73.9895421993814 |
| Trimmed Mean ( 15 / 54 ) | 12.5984848484848 | 0.165864312664567 | 75.956573455094 |
| Trimmed Mean ( 16 / 54 ) | 12.5923076923077 | 0.162602622555097 | 77.4422176865005 |
| Trimmed Mean ( 17 / 54 ) | 12.578125 | 0.160204630079832 | 78.5128681595044 |
| Trimmed Mean ( 18 / 54 ) | 12.5634920634921 | 0.157559172757828 | 79.7382459147742 |
| Trimmed Mean ( 19 / 54 ) | 12.5564516129032 | 0.156300672603603 | 80.3352372305388 |
| Trimmed Mean ( 20 / 54 ) | 12.5491803278689 | 0.154901168178447 | 81.0141103223453 |
| Trimmed Mean ( 21 / 54 ) | 12.5416666666667 | 0.15334543552289 | 81.7870230300694 |
| Trimmed Mean ( 22 / 54 ) | 12.5338983050847 | 0.151616048781069 | 82.6686779259329 |
| Trimmed Mean ( 23 / 54 ) | 12.5258620689655 | 0.149692942538918 | 83.6770381857447 |
| Trimmed Mean ( 24 / 54 ) | 12.5175438596491 | 0.147552856249605 | 84.8343039762919 |
| Trimmed Mean ( 25 / 54 ) | 12.5178571428571 | 0.146814164120979 | 85.2632797237609 |
| Trimmed Mean ( 26 / 54 ) | 12.5181818181818 | 0.145967091120035 | 85.7603020114139 |
| Trimmed Mean ( 27 / 54 ) | 12.5185185185185 | 0.144999421992785 | 86.3349546258287 |
| Trimmed Mean ( 28 / 54 ) | 12.5188679245283 | 0.143897195555279 | 86.9986928947418 |
| Trimmed Mean ( 29 / 54 ) | 12.5192307692308 | 0.142644374952259 | 87.7653309036598 |
| Trimmed Mean ( 30 / 54 ) | 12.5196078431373 | 0.141222435839915 | 88.6516916995333 |
| Trimmed Mean ( 31 / 54 ) | 12.52 | 0.139609845966927 | 89.6784887433078 |
| Trimmed Mean ( 32 / 54 ) | 12.5204081632653 | 0.137781398710339 | 90.8715420256927 |
| Trimmed Mean ( 33 / 54 ) | 12.5208333333333 | 0.135707346588638 | 92.2634893988978 |
| Trimmed Mean ( 34 / 54 ) | 12.5212765957447 | 0.133352255066888 | 93.8962493694928 |
| Trimmed Mean ( 35 / 54 ) | 12.5108695652174 | 0.132503698455889 | 94.4190215896678 |
| Trimmed Mean ( 36 / 54 ) | 12.5 | 0.131494815076527 | 95.0607823793303 |
| Trimmed Mean ( 37 / 54 ) | 12.4886363636364 | 0.130302194962208 | 95.8436376859078 |
| Trimmed Mean ( 38 / 54 ) | 12.4767441860465 | 0.128898038354616 | 96.7954543398195 |
| Trimmed Mean ( 39 / 54 ) | 12.4642857142857 | 0.127249048332845 | 97.9518973036478 |
| Trimmed Mean ( 40 / 54 ) | 12.4512195121951 | 0.125314946834556 | 99.3594126376124 |
| Trimmed Mean ( 41 / 54 ) | 12.45 | 0.125662799748002 | 99.0746666870917 |
| Trimmed Mean ( 42 / 54 ) | 12.4487179487179 | 0.125962740603951 | 98.8285733466132 |
| Trimmed Mean ( 43 / 54 ) | 12.4473684210526 | 0.126206092718756 | 98.6273178489964 |
| Trimmed Mean ( 44 / 54 ) | 12.4459459459459 | 0.126382604477476 | 98.4783150925179 |
| Trimmed Mean ( 45 / 54 ) | 12.4444444444444 | 0.126480108614565 | 98.3905262318172 |
| Trimmed Mean ( 46 / 54 ) | 12.4428571428571 | 0.126484091399303 | 98.3748786523335 |
| Trimmed Mean ( 47 / 54 ) | 12.4411764705882 | 0.126377142520023 | 98.4448312606618 |
| Trimmed Mean ( 48 / 54 ) | 12.4393939393939 | 0.126138244874216 | 98.617147811105 |
| Trimmed Mean ( 49 / 54 ) | 12.4375 | 0.125741846275462 | 98.912974227794 |
| Trimmed Mean ( 50 / 54 ) | 12.4354838709677 | 0.125156628980894 | 99.3593705121771 |
| Trimmed Mean ( 51 / 54 ) | 12.4333333333333 | 0.124343852268565 | 99.9915404460774 |
| Trimmed Mean ( 52 / 54 ) | 12.4310344827586 | 0.123255078013895 | 100.856164979728 |
| Trimmed Mean ( 53 / 54 ) | 12.4285714285714 | 0.121828980774635 | 102.01654277616 |
| Trimmed Mean ( 54 / 54 ) | 12.4259259259259 | 0.119986756350054 | 103.560812075576 |
| Median | 12 | ||
| Midrange | 15.5 | ||
| Midmean - Weighted Average at Xnp | 12.3522727272727 | ||
| Midmean - Weighted Average at X(n+1)p | 12.3522727272727 | ||
| Midmean - Empirical Distribution Function | 12.3522727272727 | ||
| Midmean - Empirical Distribution Function - Averaging | 12.3522727272727 | ||
| Midmean - Empirical Distribution Function - Interpolation | 12.3522727272727 | ||
| Midmean - Closest Observation | 12.3522727272727 | ||
| Midmean - True Basic - Statistics Graphics Toolkit | 12.3522727272727 | ||
| Midmean - MS Excel (old versions) | 12.3522727272727 | ||
| Number of observations | 162 | ||
