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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_centraltendency.wasp
Title produced by softwareCentral Tendency
Date of computationTue, 18 Dec 2012 05:30:47 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Dec/18/t1355826780amydiglr224vns4.htm/, Retrieved Thu, 28 Mar 2024 11:43:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=201330, Retrieved Thu, 28 Mar 2024 11:43:14 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact105
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Central Tendency] [Paper 2012, deel ...] [2012-12-18 10:05:06] [346d881f0ddec1e86442b342eb3e8104]
- R  D    [Central Tendency] [Paper 2012, deel ...] [2012-12-18 10:30:47] [e4c351aee2a0bb2c047702ea90f356fa] [Current]
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Dataseries X:
12
11
14
12
21
12
22
11
10
13
10
8
15
14
10
14
14
11
10
13
7
14
12
14
11
9
11
15
14
13
9
15
10
11
13
8
20
12
10
10
9
14
8
14
11
13
9
11
15
11
10
14
18
14
11
12
13
9
10
15
20
12
12
14
13
11
17
12
13
14
13
15
13
10
11
19
13
17
13
9
11
10
9
12
12
13
13
12
15
22
13
15
13
15
10
11
16
11
11
10
10
16
12
11
16
19
11
16
15
24
14
15
11
15
12
10
14
13
9
15
15
14
11
8
11
11
8
10
11
13
11
20
10
15
12
14
23
14
16
11
12
10
14
12
12
11
12
13
11
19
12
17
9
12
19
18
15
14
11
9
18
16




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=201330&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=201330&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=201330&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean12.91975308641980.24875711214065651.9372209109522
Geometric Mean12.5675697475656
Harmonic Mean12.2416261297238
Quadratic Mean13.299726164451
Winsorized Mean ( 1 / 54 )12.91975308641980.24627870606882552.4598869819026
Winsorized Mean ( 2 / 54 )12.90740740740740.24327557220161953.0567343469659
Winsorized Mean ( 3 / 54 )12.90740740740740.24327557220161953.0567343469659
Winsorized Mean ( 4 / 54 )12.88271604938270.23778909734689154.1770678013433
Winsorized Mean ( 5 / 54 )12.85185185185190.23155393391099255.5026279829564
Winsorized Mean ( 6 / 54 )12.88888888888890.22717057885282456.7366115540832
Winsorized Mean ( 7 / 54 )12.88888888888890.22717057885282456.7366115540832
Winsorized Mean ( 8 / 54 )12.83950617283950.21802692404713758.8895441650301
Winsorized Mean ( 9 / 54 )12.83950617283950.21802692404713758.8895441650301
Winsorized Mean ( 10 / 54 )12.83950617283950.21802692404713758.8895441650301
Winsorized Mean ( 11 / 54 )12.83950617283950.21802692404713758.8895441650301
Winsorized Mean ( 12 / 54 )12.76543209876540.20565265643005162.0727799988684
Winsorized Mean ( 13 / 54 )12.76543209876540.20565265643005162.0727799988684
Winsorized Mean ( 14 / 54 )12.76543209876540.20565265643005162.0727799988684
Winsorized Mean ( 15 / 54 )12.67283950617280.19181756033333866.0671498696478
Winsorized Mean ( 16 / 54 )12.77160493827160.18121984638646270.4757519274981
Winsorized Mean ( 17 / 54 )12.77160493827160.18121984638646270.4757519274981
Winsorized Mean ( 18 / 54 )12.66049382716050.16618600582505376.1826711238757
Winsorized Mean ( 19 / 54 )12.66049382716050.16618600582505376.1826711238757
Winsorized Mean ( 20 / 54 )12.66049382716050.16618600582505376.1826711238757
Winsorized Mean ( 21 / 54 )12.66049382716050.16618600582505376.1826711238757
Winsorized Mean ( 22 / 54 )12.66049382716050.16618600582505376.1826711238757
Winsorized Mean ( 23 / 54 )12.66049382716050.16618600582505376.1826711238757
Winsorized Mean ( 24 / 54 )12.51234567901230.14918371927439283.872058826999
Winsorized Mean ( 25 / 54 )12.51234567901230.14918371927439283.872058826999
Winsorized Mean ( 26 / 54 )12.51234567901230.14918371927439283.872058826999
Winsorized Mean ( 27 / 54 )12.51234567901230.14918371927439283.872058826999
Winsorized Mean ( 28 / 54 )12.51234567901230.14918371927439283.872058826999
Winsorized Mean ( 29 / 54 )12.51234567901230.14918371927439283.872058826999
Winsorized Mean ( 30 / 54 )12.51234567901230.14918371927439283.872058826999
Winsorized Mean ( 31 / 54 )12.51234567901230.14918371927439283.872058826999
Winsorized Mean ( 32 / 54 )12.51234567901230.14918371927439283.872058826999
Winsorized Mean ( 33 / 54 )12.51234567901230.14918371927439283.872058826999
Winsorized Mean ( 34 / 54 )12.72222222222220.12936645538607898.3425122397794
Winsorized Mean ( 35 / 54 )12.72222222222220.12936645538607898.3425122397794
Winsorized Mean ( 36 / 54 )12.72222222222220.12936645538607898.3425122397794
Winsorized Mean ( 37 / 54 )12.72222222222220.12936645538607898.3425122397794
Winsorized Mean ( 38 / 54 )12.72222222222220.12936645538607898.3425122397794
Winsorized Mean ( 39 / 54 )12.72222222222220.12936645538607898.3425122397794
Winsorized Mean ( 40 / 54 )12.47530864197530.104422790174048119.469213772031
Winsorized Mean ( 41 / 54 )12.47530864197530.104422790174048119.469213772031
Winsorized Mean ( 42 / 54 )12.47530864197530.104422790174048119.469213772031
Winsorized Mean ( 43 / 54 )12.47530864197530.104422790174048119.469213772031
Winsorized Mean ( 44 / 54 )12.47530864197530.104422790174048119.469213772031
Winsorized Mean ( 45 / 54 )12.47530864197530.104422790174048119.469213772031
Winsorized Mean ( 46 / 54 )12.47530864197530.104422790174048119.469213772031
Winsorized Mean ( 47 / 54 )12.47530864197530.104422790174048119.469213772031
Winsorized Mean ( 48 / 54 )12.47530864197530.104422790174048119.469213772031
Winsorized Mean ( 49 / 54 )12.47530864197530.104422790174048119.469213772031
Winsorized Mean ( 50 / 54 )12.47530864197530.104422790174048119.469213772031
Winsorized Mean ( 51 / 54 )12.47530864197530.104422790174048119.469213772031
Winsorized Mean ( 52 / 54 )12.47530864197530.104422790174048119.469213772031
Winsorized Mean ( 53 / 54 )12.47530864197530.104422790174048119.469213772031
Winsorized Mean ( 54 / 54 )12.47530864197530.104422790174048119.469213772031
Trimmed Mean ( 1 / 54 )12.88750.23923152321153953.8704089954078
Trimmed Mean ( 2 / 54 )12.85443037974680.23152111714527655.5216324897089
Trimmed Mean ( 3 / 54 )12.82692307692310.22483583967093557.0501708966697
Trimmed Mean ( 4 / 54 )12.79870129870130.21751267128706158.8411756564302
Trimmed Mean ( 5 / 54 )12.77631578947370.21126298005769860.4758854863467
Trimmed Mean ( 6 / 54 )12.760.20609938741880661.9118773704597
Trimmed Mean ( 7 / 54 )12.73648648648650.20142932137617163.2305485590202
Trimmed Mean ( 8 / 54 )12.71232876712330.19631920064347664.7533645484297
Trimmed Mean ( 9 / 54 )12.69444444444440.19243607041900465.9670737237773
Trimmed Mean ( 10 / 54 )12.67605633802820.18819131756873367.357285669667
Trimmed Mean ( 11 / 54 )12.65714285714290.18353932359692368.961477078011
Trimmed Mean ( 12 / 54 )12.63768115942030.17842536481635570.8289495298365
Trimmed Mean ( 13 / 54 )12.6250.17462611787974872.2973181405424
Trimmed Mean ( 14 / 54 )12.61194029850750.17045571473495273.9895421993814
Trimmed Mean ( 15 / 54 )12.59848484848480.16586431266456775.956573455094
Trimmed Mean ( 16 / 54 )12.59230769230770.16260262255509777.4422176865005
Trimmed Mean ( 17 / 54 )12.5781250.16020463007983278.5128681595044
Trimmed Mean ( 18 / 54 )12.56349206349210.15755917275782879.7382459147742
Trimmed Mean ( 19 / 54 )12.55645161290320.15630067260360380.3352372305388
Trimmed Mean ( 20 / 54 )12.54918032786890.15490116817844781.0141103223453
Trimmed Mean ( 21 / 54 )12.54166666666670.1533454355228981.7870230300694
Trimmed Mean ( 22 / 54 )12.53389830508470.15161604878106982.6686779259329
Trimmed Mean ( 23 / 54 )12.52586206896550.14969294253891883.6770381857447
Trimmed Mean ( 24 / 54 )12.51754385964910.14755285624960584.8343039762919
Trimmed Mean ( 25 / 54 )12.51785714285710.14681416412097985.2632797237609
Trimmed Mean ( 26 / 54 )12.51818181818180.14596709112003585.7603020114139
Trimmed Mean ( 27 / 54 )12.51851851851850.14499942199278586.3349546258287
Trimmed Mean ( 28 / 54 )12.51886792452830.14389719555527986.9986928947418
Trimmed Mean ( 29 / 54 )12.51923076923080.14264437495225987.7653309036598
Trimmed Mean ( 30 / 54 )12.51960784313730.14122243583991588.6516916995333
Trimmed Mean ( 31 / 54 )12.520.13960984596692789.6784887433078
Trimmed Mean ( 32 / 54 )12.52040816326530.13778139871033990.8715420256927
Trimmed Mean ( 33 / 54 )12.52083333333330.13570734658863892.2634893988978
Trimmed Mean ( 34 / 54 )12.52127659574470.13335225506688893.8962493694928
Trimmed Mean ( 35 / 54 )12.51086956521740.13250369845588994.4190215896678
Trimmed Mean ( 36 / 54 )12.50.13149481507652795.0607823793303
Trimmed Mean ( 37 / 54 )12.48863636363640.13030219496220895.8436376859078
Trimmed Mean ( 38 / 54 )12.47674418604650.12889803835461696.7954543398195
Trimmed Mean ( 39 / 54 )12.46428571428570.12724904833284597.9518973036478
Trimmed Mean ( 40 / 54 )12.45121951219510.12531494683455699.3594126376124
Trimmed Mean ( 41 / 54 )12.450.12566279974800299.0746666870917
Trimmed Mean ( 42 / 54 )12.44871794871790.12596274060395198.8285733466132
Trimmed Mean ( 43 / 54 )12.44736842105260.12620609271875698.6273178489964
Trimmed Mean ( 44 / 54 )12.44594594594590.12638260447747698.4783150925179
Trimmed Mean ( 45 / 54 )12.44444444444440.12648010861456598.3905262318172
Trimmed Mean ( 46 / 54 )12.44285714285710.12648409139930398.3748786523335
Trimmed Mean ( 47 / 54 )12.44117647058820.12637714252002398.4448312606618
Trimmed Mean ( 48 / 54 )12.43939393939390.12613824487421698.617147811105
Trimmed Mean ( 49 / 54 )12.43750.12574184627546298.912974227794
Trimmed Mean ( 50 / 54 )12.43548387096770.12515662898089499.3593705121771
Trimmed Mean ( 51 / 54 )12.43333333333330.12434385226856599.9915404460774
Trimmed Mean ( 52 / 54 )12.43103448275860.123255078013895100.856164979728
Trimmed Mean ( 53 / 54 )12.42857142857140.121828980774635102.01654277616
Trimmed Mean ( 54 / 54 )12.42592592592590.119986756350054103.560812075576
Median12
Midrange15.5
Midmean - Weighted Average at Xnp12.3522727272727
Midmean - Weighted Average at X(n+1)p12.3522727272727
Midmean - Empirical Distribution Function12.3522727272727
Midmean - Empirical Distribution Function - Averaging12.3522727272727
Midmean - Empirical Distribution Function - Interpolation12.3522727272727
Midmean - Closest Observation12.3522727272727
Midmean - True Basic - Statistics Graphics Toolkit12.3522727272727
Midmean - MS Excel (old versions)12.3522727272727
Number of observations162

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 12.9197530864198 & 0.248757112140656 & 51.9372209109522 \tabularnewline
Geometric Mean & 12.5675697475656 &  &  \tabularnewline
Harmonic Mean & 12.2416261297238 &  &  \tabularnewline
Quadratic Mean & 13.299726164451 &  &  \tabularnewline
Winsorized Mean ( 1 / 54 ) & 12.9197530864198 & 0.246278706068825 & 52.4598869819026 \tabularnewline
Winsorized Mean ( 2 / 54 ) & 12.9074074074074 & 0.243275572201619 & 53.0567343469659 \tabularnewline
Winsorized Mean ( 3 / 54 ) & 12.9074074074074 & 0.243275572201619 & 53.0567343469659 \tabularnewline
Winsorized Mean ( 4 / 54 ) & 12.8827160493827 & 0.237789097346891 & 54.1770678013433 \tabularnewline
Winsorized Mean ( 5 / 54 ) & 12.8518518518519 & 0.231553933910992 & 55.5026279829564 \tabularnewline
Winsorized Mean ( 6 / 54 ) & 12.8888888888889 & 0.227170578852824 & 56.7366115540832 \tabularnewline
Winsorized Mean ( 7 / 54 ) & 12.8888888888889 & 0.227170578852824 & 56.7366115540832 \tabularnewline
Winsorized Mean ( 8 / 54 ) & 12.8395061728395 & 0.218026924047137 & 58.8895441650301 \tabularnewline
Winsorized Mean ( 9 / 54 ) & 12.8395061728395 & 0.218026924047137 & 58.8895441650301 \tabularnewline
Winsorized Mean ( 10 / 54 ) & 12.8395061728395 & 0.218026924047137 & 58.8895441650301 \tabularnewline
Winsorized Mean ( 11 / 54 ) & 12.8395061728395 & 0.218026924047137 & 58.8895441650301 \tabularnewline
Winsorized Mean ( 12 / 54 ) & 12.7654320987654 & 0.205652656430051 & 62.0727799988684 \tabularnewline
Winsorized Mean ( 13 / 54 ) & 12.7654320987654 & 0.205652656430051 & 62.0727799988684 \tabularnewline
Winsorized Mean ( 14 / 54 ) & 12.7654320987654 & 0.205652656430051 & 62.0727799988684 \tabularnewline
Winsorized Mean ( 15 / 54 ) & 12.6728395061728 & 0.191817560333338 & 66.0671498696478 \tabularnewline
Winsorized Mean ( 16 / 54 ) & 12.7716049382716 & 0.181219846386462 & 70.4757519274981 \tabularnewline
Winsorized Mean ( 17 / 54 ) & 12.7716049382716 & 0.181219846386462 & 70.4757519274981 \tabularnewline
Winsorized Mean ( 18 / 54 ) & 12.6604938271605 & 0.166186005825053 & 76.1826711238757 \tabularnewline
Winsorized Mean ( 19 / 54 ) & 12.6604938271605 & 0.166186005825053 & 76.1826711238757 \tabularnewline
Winsorized Mean ( 20 / 54 ) & 12.6604938271605 & 0.166186005825053 & 76.1826711238757 \tabularnewline
Winsorized Mean ( 21 / 54 ) & 12.6604938271605 & 0.166186005825053 & 76.1826711238757 \tabularnewline
Winsorized Mean ( 22 / 54 ) & 12.6604938271605 & 0.166186005825053 & 76.1826711238757 \tabularnewline
Winsorized Mean ( 23 / 54 ) & 12.6604938271605 & 0.166186005825053 & 76.1826711238757 \tabularnewline
Winsorized Mean ( 24 / 54 ) & 12.5123456790123 & 0.149183719274392 & 83.872058826999 \tabularnewline
Winsorized Mean ( 25 / 54 ) & 12.5123456790123 & 0.149183719274392 & 83.872058826999 \tabularnewline
Winsorized Mean ( 26 / 54 ) & 12.5123456790123 & 0.149183719274392 & 83.872058826999 \tabularnewline
Winsorized Mean ( 27 / 54 ) & 12.5123456790123 & 0.149183719274392 & 83.872058826999 \tabularnewline
Winsorized Mean ( 28 / 54 ) & 12.5123456790123 & 0.149183719274392 & 83.872058826999 \tabularnewline
Winsorized Mean ( 29 / 54 ) & 12.5123456790123 & 0.149183719274392 & 83.872058826999 \tabularnewline
Winsorized Mean ( 30 / 54 ) & 12.5123456790123 & 0.149183719274392 & 83.872058826999 \tabularnewline
Winsorized Mean ( 31 / 54 ) & 12.5123456790123 & 0.149183719274392 & 83.872058826999 \tabularnewline
Winsorized Mean ( 32 / 54 ) & 12.5123456790123 & 0.149183719274392 & 83.872058826999 \tabularnewline
Winsorized Mean ( 33 / 54 ) & 12.5123456790123 & 0.149183719274392 & 83.872058826999 \tabularnewline
Winsorized Mean ( 34 / 54 ) & 12.7222222222222 & 0.129366455386078 & 98.3425122397794 \tabularnewline
Winsorized Mean ( 35 / 54 ) & 12.7222222222222 & 0.129366455386078 & 98.3425122397794 \tabularnewline
Winsorized Mean ( 36 / 54 ) & 12.7222222222222 & 0.129366455386078 & 98.3425122397794 \tabularnewline
Winsorized Mean ( 37 / 54 ) & 12.7222222222222 & 0.129366455386078 & 98.3425122397794 \tabularnewline
Winsorized Mean ( 38 / 54 ) & 12.7222222222222 & 0.129366455386078 & 98.3425122397794 \tabularnewline
Winsorized Mean ( 39 / 54 ) & 12.7222222222222 & 0.129366455386078 & 98.3425122397794 \tabularnewline
Winsorized Mean ( 40 / 54 ) & 12.4753086419753 & 0.104422790174048 & 119.469213772031 \tabularnewline
Winsorized Mean ( 41 / 54 ) & 12.4753086419753 & 0.104422790174048 & 119.469213772031 \tabularnewline
Winsorized Mean ( 42 / 54 ) & 12.4753086419753 & 0.104422790174048 & 119.469213772031 \tabularnewline
Winsorized Mean ( 43 / 54 ) & 12.4753086419753 & 0.104422790174048 & 119.469213772031 \tabularnewline
Winsorized Mean ( 44 / 54 ) & 12.4753086419753 & 0.104422790174048 & 119.469213772031 \tabularnewline
Winsorized Mean ( 45 / 54 ) & 12.4753086419753 & 0.104422790174048 & 119.469213772031 \tabularnewline
Winsorized Mean ( 46 / 54 ) & 12.4753086419753 & 0.104422790174048 & 119.469213772031 \tabularnewline
Winsorized Mean ( 47 / 54 ) & 12.4753086419753 & 0.104422790174048 & 119.469213772031 \tabularnewline
Winsorized Mean ( 48 / 54 ) & 12.4753086419753 & 0.104422790174048 & 119.469213772031 \tabularnewline
Winsorized Mean ( 49 / 54 ) & 12.4753086419753 & 0.104422790174048 & 119.469213772031 \tabularnewline
Winsorized Mean ( 50 / 54 ) & 12.4753086419753 & 0.104422790174048 & 119.469213772031 \tabularnewline
Winsorized Mean ( 51 / 54 ) & 12.4753086419753 & 0.104422790174048 & 119.469213772031 \tabularnewline
Winsorized Mean ( 52 / 54 ) & 12.4753086419753 & 0.104422790174048 & 119.469213772031 \tabularnewline
Winsorized Mean ( 53 / 54 ) & 12.4753086419753 & 0.104422790174048 & 119.469213772031 \tabularnewline
Winsorized Mean ( 54 / 54 ) & 12.4753086419753 & 0.104422790174048 & 119.469213772031 \tabularnewline
Trimmed Mean ( 1 / 54 ) & 12.8875 & 0.239231523211539 & 53.8704089954078 \tabularnewline
Trimmed Mean ( 2 / 54 ) & 12.8544303797468 & 0.231521117145276 & 55.5216324897089 \tabularnewline
Trimmed Mean ( 3 / 54 ) & 12.8269230769231 & 0.224835839670935 & 57.0501708966697 \tabularnewline
Trimmed Mean ( 4 / 54 ) & 12.7987012987013 & 0.217512671287061 & 58.8411756564302 \tabularnewline
Trimmed Mean ( 5 / 54 ) & 12.7763157894737 & 0.211262980057698 & 60.4758854863467 \tabularnewline
Trimmed Mean ( 6 / 54 ) & 12.76 & 0.206099387418806 & 61.9118773704597 \tabularnewline
Trimmed Mean ( 7 / 54 ) & 12.7364864864865 & 0.201429321376171 & 63.2305485590202 \tabularnewline
Trimmed Mean ( 8 / 54 ) & 12.7123287671233 & 0.196319200643476 & 64.7533645484297 \tabularnewline
Trimmed Mean ( 9 / 54 ) & 12.6944444444444 & 0.192436070419004 & 65.9670737237773 \tabularnewline
Trimmed Mean ( 10 / 54 ) & 12.6760563380282 & 0.188191317568733 & 67.357285669667 \tabularnewline
Trimmed Mean ( 11 / 54 ) & 12.6571428571429 & 0.183539323596923 & 68.961477078011 \tabularnewline
Trimmed Mean ( 12 / 54 ) & 12.6376811594203 & 0.178425364816355 & 70.8289495298365 \tabularnewline
Trimmed Mean ( 13 / 54 ) & 12.625 & 0.174626117879748 & 72.2973181405424 \tabularnewline
Trimmed Mean ( 14 / 54 ) & 12.6119402985075 & 0.170455714734952 & 73.9895421993814 \tabularnewline
Trimmed Mean ( 15 / 54 ) & 12.5984848484848 & 0.165864312664567 & 75.956573455094 \tabularnewline
Trimmed Mean ( 16 / 54 ) & 12.5923076923077 & 0.162602622555097 & 77.4422176865005 \tabularnewline
Trimmed Mean ( 17 / 54 ) & 12.578125 & 0.160204630079832 & 78.5128681595044 \tabularnewline
Trimmed Mean ( 18 / 54 ) & 12.5634920634921 & 0.157559172757828 & 79.7382459147742 \tabularnewline
Trimmed Mean ( 19 / 54 ) & 12.5564516129032 & 0.156300672603603 & 80.3352372305388 \tabularnewline
Trimmed Mean ( 20 / 54 ) & 12.5491803278689 & 0.154901168178447 & 81.0141103223453 \tabularnewline
Trimmed Mean ( 21 / 54 ) & 12.5416666666667 & 0.15334543552289 & 81.7870230300694 \tabularnewline
Trimmed Mean ( 22 / 54 ) & 12.5338983050847 & 0.151616048781069 & 82.6686779259329 \tabularnewline
Trimmed Mean ( 23 / 54 ) & 12.5258620689655 & 0.149692942538918 & 83.6770381857447 \tabularnewline
Trimmed Mean ( 24 / 54 ) & 12.5175438596491 & 0.147552856249605 & 84.8343039762919 \tabularnewline
Trimmed Mean ( 25 / 54 ) & 12.5178571428571 & 0.146814164120979 & 85.2632797237609 \tabularnewline
Trimmed Mean ( 26 / 54 ) & 12.5181818181818 & 0.145967091120035 & 85.7603020114139 \tabularnewline
Trimmed Mean ( 27 / 54 ) & 12.5185185185185 & 0.144999421992785 & 86.3349546258287 \tabularnewline
Trimmed Mean ( 28 / 54 ) & 12.5188679245283 & 0.143897195555279 & 86.9986928947418 \tabularnewline
Trimmed Mean ( 29 / 54 ) & 12.5192307692308 & 0.142644374952259 & 87.7653309036598 \tabularnewline
Trimmed Mean ( 30 / 54 ) & 12.5196078431373 & 0.141222435839915 & 88.6516916995333 \tabularnewline
Trimmed Mean ( 31 / 54 ) & 12.52 & 0.139609845966927 & 89.6784887433078 \tabularnewline
Trimmed Mean ( 32 / 54 ) & 12.5204081632653 & 0.137781398710339 & 90.8715420256927 \tabularnewline
Trimmed Mean ( 33 / 54 ) & 12.5208333333333 & 0.135707346588638 & 92.2634893988978 \tabularnewline
Trimmed Mean ( 34 / 54 ) & 12.5212765957447 & 0.133352255066888 & 93.8962493694928 \tabularnewline
Trimmed Mean ( 35 / 54 ) & 12.5108695652174 & 0.132503698455889 & 94.4190215896678 \tabularnewline
Trimmed Mean ( 36 / 54 ) & 12.5 & 0.131494815076527 & 95.0607823793303 \tabularnewline
Trimmed Mean ( 37 / 54 ) & 12.4886363636364 & 0.130302194962208 & 95.8436376859078 \tabularnewline
Trimmed Mean ( 38 / 54 ) & 12.4767441860465 & 0.128898038354616 & 96.7954543398195 \tabularnewline
Trimmed Mean ( 39 / 54 ) & 12.4642857142857 & 0.127249048332845 & 97.9518973036478 \tabularnewline
Trimmed Mean ( 40 / 54 ) & 12.4512195121951 & 0.125314946834556 & 99.3594126376124 \tabularnewline
Trimmed Mean ( 41 / 54 ) & 12.45 & 0.125662799748002 & 99.0746666870917 \tabularnewline
Trimmed Mean ( 42 / 54 ) & 12.4487179487179 & 0.125962740603951 & 98.8285733466132 \tabularnewline
Trimmed Mean ( 43 / 54 ) & 12.4473684210526 & 0.126206092718756 & 98.6273178489964 \tabularnewline
Trimmed Mean ( 44 / 54 ) & 12.4459459459459 & 0.126382604477476 & 98.4783150925179 \tabularnewline
Trimmed Mean ( 45 / 54 ) & 12.4444444444444 & 0.126480108614565 & 98.3905262318172 \tabularnewline
Trimmed Mean ( 46 / 54 ) & 12.4428571428571 & 0.126484091399303 & 98.3748786523335 \tabularnewline
Trimmed Mean ( 47 / 54 ) & 12.4411764705882 & 0.126377142520023 & 98.4448312606618 \tabularnewline
Trimmed Mean ( 48 / 54 ) & 12.4393939393939 & 0.126138244874216 & 98.617147811105 \tabularnewline
Trimmed Mean ( 49 / 54 ) & 12.4375 & 0.125741846275462 & 98.912974227794 \tabularnewline
Trimmed Mean ( 50 / 54 ) & 12.4354838709677 & 0.125156628980894 & 99.3593705121771 \tabularnewline
Trimmed Mean ( 51 / 54 ) & 12.4333333333333 & 0.124343852268565 & 99.9915404460774 \tabularnewline
Trimmed Mean ( 52 / 54 ) & 12.4310344827586 & 0.123255078013895 & 100.856164979728 \tabularnewline
Trimmed Mean ( 53 / 54 ) & 12.4285714285714 & 0.121828980774635 & 102.01654277616 \tabularnewline
Trimmed Mean ( 54 / 54 ) & 12.4259259259259 & 0.119986756350054 & 103.560812075576 \tabularnewline
Median & 12 &  &  \tabularnewline
Midrange & 15.5 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 12.3522727272727 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 12.3522727272727 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 12.3522727272727 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 12.3522727272727 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 12.3522727272727 &  &  \tabularnewline
Midmean - Closest Observation & 12.3522727272727 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 12.3522727272727 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 12.3522727272727 &  &  \tabularnewline
Number of observations & 162 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=201330&T=1

[TABLE]
[ROW][C]Central Tendency - Ungrouped Data[/C][/ROW]
[ROW][C]Measure[/C][C]Value[/C][C]S.E.[/C][C]Value/S.E.[/C][/ROW]
[ROW][C]Arithmetic Mean[/C][C]12.9197530864198[/C][C]0.248757112140656[/C][C]51.9372209109522[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]12.5675697475656[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]12.2416261297238[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]13.299726164451[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 54 )[/C][C]12.9197530864198[/C][C]0.246278706068825[/C][C]52.4598869819026[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 54 )[/C][C]12.9074074074074[/C][C]0.243275572201619[/C][C]53.0567343469659[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 54 )[/C][C]12.9074074074074[/C][C]0.243275572201619[/C][C]53.0567343469659[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 54 )[/C][C]12.8827160493827[/C][C]0.237789097346891[/C][C]54.1770678013433[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 54 )[/C][C]12.8518518518519[/C][C]0.231553933910992[/C][C]55.5026279829564[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 54 )[/C][C]12.8888888888889[/C][C]0.227170578852824[/C][C]56.7366115540832[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 54 )[/C][C]12.8888888888889[/C][C]0.227170578852824[/C][C]56.7366115540832[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 54 )[/C][C]12.8395061728395[/C][C]0.218026924047137[/C][C]58.8895441650301[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 54 )[/C][C]12.8395061728395[/C][C]0.218026924047137[/C][C]58.8895441650301[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 54 )[/C][C]12.8395061728395[/C][C]0.218026924047137[/C][C]58.8895441650301[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 54 )[/C][C]12.8395061728395[/C][C]0.218026924047137[/C][C]58.8895441650301[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 54 )[/C][C]12.7654320987654[/C][C]0.205652656430051[/C][C]62.0727799988684[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 54 )[/C][C]12.7654320987654[/C][C]0.205652656430051[/C][C]62.0727799988684[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 54 )[/C][C]12.7654320987654[/C][C]0.205652656430051[/C][C]62.0727799988684[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 54 )[/C][C]12.6728395061728[/C][C]0.191817560333338[/C][C]66.0671498696478[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 54 )[/C][C]12.7716049382716[/C][C]0.181219846386462[/C][C]70.4757519274981[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 54 )[/C][C]12.7716049382716[/C][C]0.181219846386462[/C][C]70.4757519274981[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 54 )[/C][C]12.6604938271605[/C][C]0.166186005825053[/C][C]76.1826711238757[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 54 )[/C][C]12.6604938271605[/C][C]0.166186005825053[/C][C]76.1826711238757[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 54 )[/C][C]12.6604938271605[/C][C]0.166186005825053[/C][C]76.1826711238757[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 54 )[/C][C]12.6604938271605[/C][C]0.166186005825053[/C][C]76.1826711238757[/C][/ROW]
[ROW][C]Winsorized Mean ( 22 / 54 )[/C][C]12.6604938271605[/C][C]0.166186005825053[/C][C]76.1826711238757[/C][/ROW]
[ROW][C]Winsorized Mean ( 23 / 54 )[/C][C]12.6604938271605[/C][C]0.166186005825053[/C][C]76.1826711238757[/C][/ROW]
[ROW][C]Winsorized Mean ( 24 / 54 )[/C][C]12.5123456790123[/C][C]0.149183719274392[/C][C]83.872058826999[/C][/ROW]
[ROW][C]Winsorized Mean ( 25 / 54 )[/C][C]12.5123456790123[/C][C]0.149183719274392[/C][C]83.872058826999[/C][/ROW]
[ROW][C]Winsorized Mean ( 26 / 54 )[/C][C]12.5123456790123[/C][C]0.149183719274392[/C][C]83.872058826999[/C][/ROW]
[ROW][C]Winsorized Mean ( 27 / 54 )[/C][C]12.5123456790123[/C][C]0.149183719274392[/C][C]83.872058826999[/C][/ROW]
[ROW][C]Winsorized Mean ( 28 / 54 )[/C][C]12.5123456790123[/C][C]0.149183719274392[/C][C]83.872058826999[/C][/ROW]
[ROW][C]Winsorized Mean ( 29 / 54 )[/C][C]12.5123456790123[/C][C]0.149183719274392[/C][C]83.872058826999[/C][/ROW]
[ROW][C]Winsorized Mean ( 30 / 54 )[/C][C]12.5123456790123[/C][C]0.149183719274392[/C][C]83.872058826999[/C][/ROW]
[ROW][C]Winsorized Mean ( 31 / 54 )[/C][C]12.5123456790123[/C][C]0.149183719274392[/C][C]83.872058826999[/C][/ROW]
[ROW][C]Winsorized Mean ( 32 / 54 )[/C][C]12.5123456790123[/C][C]0.149183719274392[/C][C]83.872058826999[/C][/ROW]
[ROW][C]Winsorized Mean ( 33 / 54 )[/C][C]12.5123456790123[/C][C]0.149183719274392[/C][C]83.872058826999[/C][/ROW]
[ROW][C]Winsorized Mean ( 34 / 54 )[/C][C]12.7222222222222[/C][C]0.129366455386078[/C][C]98.3425122397794[/C][/ROW]
[ROW][C]Winsorized Mean ( 35 / 54 )[/C][C]12.7222222222222[/C][C]0.129366455386078[/C][C]98.3425122397794[/C][/ROW]
[ROW][C]Winsorized Mean ( 36 / 54 )[/C][C]12.7222222222222[/C][C]0.129366455386078[/C][C]98.3425122397794[/C][/ROW]
[ROW][C]Winsorized Mean ( 37 / 54 )[/C][C]12.7222222222222[/C][C]0.129366455386078[/C][C]98.3425122397794[/C][/ROW]
[ROW][C]Winsorized Mean ( 38 / 54 )[/C][C]12.7222222222222[/C][C]0.129366455386078[/C][C]98.3425122397794[/C][/ROW]
[ROW][C]Winsorized Mean ( 39 / 54 )[/C][C]12.7222222222222[/C][C]0.129366455386078[/C][C]98.3425122397794[/C][/ROW]
[ROW][C]Winsorized Mean ( 40 / 54 )[/C][C]12.4753086419753[/C][C]0.104422790174048[/C][C]119.469213772031[/C][/ROW]
[ROW][C]Winsorized Mean ( 41 / 54 )[/C][C]12.4753086419753[/C][C]0.104422790174048[/C][C]119.469213772031[/C][/ROW]
[ROW][C]Winsorized Mean ( 42 / 54 )[/C][C]12.4753086419753[/C][C]0.104422790174048[/C][C]119.469213772031[/C][/ROW]
[ROW][C]Winsorized Mean ( 43 / 54 )[/C][C]12.4753086419753[/C][C]0.104422790174048[/C][C]119.469213772031[/C][/ROW]
[ROW][C]Winsorized Mean ( 44 / 54 )[/C][C]12.4753086419753[/C][C]0.104422790174048[/C][C]119.469213772031[/C][/ROW]
[ROW][C]Winsorized Mean ( 45 / 54 )[/C][C]12.4753086419753[/C][C]0.104422790174048[/C][C]119.469213772031[/C][/ROW]
[ROW][C]Winsorized Mean ( 46 / 54 )[/C][C]12.4753086419753[/C][C]0.104422790174048[/C][C]119.469213772031[/C][/ROW]
[ROW][C]Winsorized Mean ( 47 / 54 )[/C][C]12.4753086419753[/C][C]0.104422790174048[/C][C]119.469213772031[/C][/ROW]
[ROW][C]Winsorized Mean ( 48 / 54 )[/C][C]12.4753086419753[/C][C]0.104422790174048[/C][C]119.469213772031[/C][/ROW]
[ROW][C]Winsorized Mean ( 49 / 54 )[/C][C]12.4753086419753[/C][C]0.104422790174048[/C][C]119.469213772031[/C][/ROW]
[ROW][C]Winsorized Mean ( 50 / 54 )[/C][C]12.4753086419753[/C][C]0.104422790174048[/C][C]119.469213772031[/C][/ROW]
[ROW][C]Winsorized Mean ( 51 / 54 )[/C][C]12.4753086419753[/C][C]0.104422790174048[/C][C]119.469213772031[/C][/ROW]
[ROW][C]Winsorized Mean ( 52 / 54 )[/C][C]12.4753086419753[/C][C]0.104422790174048[/C][C]119.469213772031[/C][/ROW]
[ROW][C]Winsorized Mean ( 53 / 54 )[/C][C]12.4753086419753[/C][C]0.104422790174048[/C][C]119.469213772031[/C][/ROW]
[ROW][C]Winsorized Mean ( 54 / 54 )[/C][C]12.4753086419753[/C][C]0.104422790174048[/C][C]119.469213772031[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 54 )[/C][C]12.8875[/C][C]0.239231523211539[/C][C]53.8704089954078[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 54 )[/C][C]12.8544303797468[/C][C]0.231521117145276[/C][C]55.5216324897089[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 54 )[/C][C]12.8269230769231[/C][C]0.224835839670935[/C][C]57.0501708966697[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 54 )[/C][C]12.7987012987013[/C][C]0.217512671287061[/C][C]58.8411756564302[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 54 )[/C][C]12.7763157894737[/C][C]0.211262980057698[/C][C]60.4758854863467[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 54 )[/C][C]12.76[/C][C]0.206099387418806[/C][C]61.9118773704597[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 54 )[/C][C]12.7364864864865[/C][C]0.201429321376171[/C][C]63.2305485590202[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 54 )[/C][C]12.7123287671233[/C][C]0.196319200643476[/C][C]64.7533645484297[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 54 )[/C][C]12.6944444444444[/C][C]0.192436070419004[/C][C]65.9670737237773[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 54 )[/C][C]12.6760563380282[/C][C]0.188191317568733[/C][C]67.357285669667[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 54 )[/C][C]12.6571428571429[/C][C]0.183539323596923[/C][C]68.961477078011[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 54 )[/C][C]12.6376811594203[/C][C]0.178425364816355[/C][C]70.8289495298365[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 54 )[/C][C]12.625[/C][C]0.174626117879748[/C][C]72.2973181405424[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 54 )[/C][C]12.6119402985075[/C][C]0.170455714734952[/C][C]73.9895421993814[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 54 )[/C][C]12.5984848484848[/C][C]0.165864312664567[/C][C]75.956573455094[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 54 )[/C][C]12.5923076923077[/C][C]0.162602622555097[/C][C]77.4422176865005[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 54 )[/C][C]12.578125[/C][C]0.160204630079832[/C][C]78.5128681595044[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 54 )[/C][C]12.5634920634921[/C][C]0.157559172757828[/C][C]79.7382459147742[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 54 )[/C][C]12.5564516129032[/C][C]0.156300672603603[/C][C]80.3352372305388[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 54 )[/C][C]12.5491803278689[/C][C]0.154901168178447[/C][C]81.0141103223453[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 54 )[/C][C]12.5416666666667[/C][C]0.15334543552289[/C][C]81.7870230300694[/C][/ROW]
[ROW][C]Trimmed Mean ( 22 / 54 )[/C][C]12.5338983050847[/C][C]0.151616048781069[/C][C]82.6686779259329[/C][/ROW]
[ROW][C]Trimmed Mean ( 23 / 54 )[/C][C]12.5258620689655[/C][C]0.149692942538918[/C][C]83.6770381857447[/C][/ROW]
[ROW][C]Trimmed Mean ( 24 / 54 )[/C][C]12.5175438596491[/C][C]0.147552856249605[/C][C]84.8343039762919[/C][/ROW]
[ROW][C]Trimmed Mean ( 25 / 54 )[/C][C]12.5178571428571[/C][C]0.146814164120979[/C][C]85.2632797237609[/C][/ROW]
[ROW][C]Trimmed Mean ( 26 / 54 )[/C][C]12.5181818181818[/C][C]0.145967091120035[/C][C]85.7603020114139[/C][/ROW]
[ROW][C]Trimmed Mean ( 27 / 54 )[/C][C]12.5185185185185[/C][C]0.144999421992785[/C][C]86.3349546258287[/C][/ROW]
[ROW][C]Trimmed Mean ( 28 / 54 )[/C][C]12.5188679245283[/C][C]0.143897195555279[/C][C]86.9986928947418[/C][/ROW]
[ROW][C]Trimmed Mean ( 29 / 54 )[/C][C]12.5192307692308[/C][C]0.142644374952259[/C][C]87.7653309036598[/C][/ROW]
[ROW][C]Trimmed Mean ( 30 / 54 )[/C][C]12.5196078431373[/C][C]0.141222435839915[/C][C]88.6516916995333[/C][/ROW]
[ROW][C]Trimmed Mean ( 31 / 54 )[/C][C]12.52[/C][C]0.139609845966927[/C][C]89.6784887433078[/C][/ROW]
[ROW][C]Trimmed Mean ( 32 / 54 )[/C][C]12.5204081632653[/C][C]0.137781398710339[/C][C]90.8715420256927[/C][/ROW]
[ROW][C]Trimmed Mean ( 33 / 54 )[/C][C]12.5208333333333[/C][C]0.135707346588638[/C][C]92.2634893988978[/C][/ROW]
[ROW][C]Trimmed Mean ( 34 / 54 )[/C][C]12.5212765957447[/C][C]0.133352255066888[/C][C]93.8962493694928[/C][/ROW]
[ROW][C]Trimmed Mean ( 35 / 54 )[/C][C]12.5108695652174[/C][C]0.132503698455889[/C][C]94.4190215896678[/C][/ROW]
[ROW][C]Trimmed Mean ( 36 / 54 )[/C][C]12.5[/C][C]0.131494815076527[/C][C]95.0607823793303[/C][/ROW]
[ROW][C]Trimmed Mean ( 37 / 54 )[/C][C]12.4886363636364[/C][C]0.130302194962208[/C][C]95.8436376859078[/C][/ROW]
[ROW][C]Trimmed Mean ( 38 / 54 )[/C][C]12.4767441860465[/C][C]0.128898038354616[/C][C]96.7954543398195[/C][/ROW]
[ROW][C]Trimmed Mean ( 39 / 54 )[/C][C]12.4642857142857[/C][C]0.127249048332845[/C][C]97.9518973036478[/C][/ROW]
[ROW][C]Trimmed Mean ( 40 / 54 )[/C][C]12.4512195121951[/C][C]0.125314946834556[/C][C]99.3594126376124[/C][/ROW]
[ROW][C]Trimmed Mean ( 41 / 54 )[/C][C]12.45[/C][C]0.125662799748002[/C][C]99.0746666870917[/C][/ROW]
[ROW][C]Trimmed Mean ( 42 / 54 )[/C][C]12.4487179487179[/C][C]0.125962740603951[/C][C]98.8285733466132[/C][/ROW]
[ROW][C]Trimmed Mean ( 43 / 54 )[/C][C]12.4473684210526[/C][C]0.126206092718756[/C][C]98.6273178489964[/C][/ROW]
[ROW][C]Trimmed Mean ( 44 / 54 )[/C][C]12.4459459459459[/C][C]0.126382604477476[/C][C]98.4783150925179[/C][/ROW]
[ROW][C]Trimmed Mean ( 45 / 54 )[/C][C]12.4444444444444[/C][C]0.126480108614565[/C][C]98.3905262318172[/C][/ROW]
[ROW][C]Trimmed Mean ( 46 / 54 )[/C][C]12.4428571428571[/C][C]0.126484091399303[/C][C]98.3748786523335[/C][/ROW]
[ROW][C]Trimmed Mean ( 47 / 54 )[/C][C]12.4411764705882[/C][C]0.126377142520023[/C][C]98.4448312606618[/C][/ROW]
[ROW][C]Trimmed Mean ( 48 / 54 )[/C][C]12.4393939393939[/C][C]0.126138244874216[/C][C]98.617147811105[/C][/ROW]
[ROW][C]Trimmed Mean ( 49 / 54 )[/C][C]12.4375[/C][C]0.125741846275462[/C][C]98.912974227794[/C][/ROW]
[ROW][C]Trimmed Mean ( 50 / 54 )[/C][C]12.4354838709677[/C][C]0.125156628980894[/C][C]99.3593705121771[/C][/ROW]
[ROW][C]Trimmed Mean ( 51 / 54 )[/C][C]12.4333333333333[/C][C]0.124343852268565[/C][C]99.9915404460774[/C][/ROW]
[ROW][C]Trimmed Mean ( 52 / 54 )[/C][C]12.4310344827586[/C][C]0.123255078013895[/C][C]100.856164979728[/C][/ROW]
[ROW][C]Trimmed Mean ( 53 / 54 )[/C][C]12.4285714285714[/C][C]0.121828980774635[/C][C]102.01654277616[/C][/ROW]
[ROW][C]Trimmed Mean ( 54 / 54 )[/C][C]12.4259259259259[/C][C]0.119986756350054[/C][C]103.560812075576[/C][/ROW]
[ROW][C]Median[/C][C]12[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]15.5[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]12.3522727272727[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]12.3522727272727[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]12.3522727272727[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]12.3522727272727[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]12.3522727272727[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]12.3522727272727[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]12.3522727272727[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]12.3522727272727[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]162[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=201330&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=201330&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean12.91975308641980.24875711214065651.9372209109522
Geometric Mean12.5675697475656
Harmonic Mean12.2416261297238
Quadratic Mean13.299726164451
Winsorized Mean ( 1 / 54 )12.91975308641980.24627870606882552.4598869819026
Winsorized Mean ( 2 / 54 )12.90740740740740.24327557220161953.0567343469659
Winsorized Mean ( 3 / 54 )12.90740740740740.24327557220161953.0567343469659
Winsorized Mean ( 4 / 54 )12.88271604938270.23778909734689154.1770678013433
Winsorized Mean ( 5 / 54 )12.85185185185190.23155393391099255.5026279829564
Winsorized Mean ( 6 / 54 )12.88888888888890.22717057885282456.7366115540832
Winsorized Mean ( 7 / 54 )12.88888888888890.22717057885282456.7366115540832
Winsorized Mean ( 8 / 54 )12.83950617283950.21802692404713758.8895441650301
Winsorized Mean ( 9 / 54 )12.83950617283950.21802692404713758.8895441650301
Winsorized Mean ( 10 / 54 )12.83950617283950.21802692404713758.8895441650301
Winsorized Mean ( 11 / 54 )12.83950617283950.21802692404713758.8895441650301
Winsorized Mean ( 12 / 54 )12.76543209876540.20565265643005162.0727799988684
Winsorized Mean ( 13 / 54 )12.76543209876540.20565265643005162.0727799988684
Winsorized Mean ( 14 / 54 )12.76543209876540.20565265643005162.0727799988684
Winsorized Mean ( 15 / 54 )12.67283950617280.19181756033333866.0671498696478
Winsorized Mean ( 16 / 54 )12.77160493827160.18121984638646270.4757519274981
Winsorized Mean ( 17 / 54 )12.77160493827160.18121984638646270.4757519274981
Winsorized Mean ( 18 / 54 )12.66049382716050.16618600582505376.1826711238757
Winsorized Mean ( 19 / 54 )12.66049382716050.16618600582505376.1826711238757
Winsorized Mean ( 20 / 54 )12.66049382716050.16618600582505376.1826711238757
Winsorized Mean ( 21 / 54 )12.66049382716050.16618600582505376.1826711238757
Winsorized Mean ( 22 / 54 )12.66049382716050.16618600582505376.1826711238757
Winsorized Mean ( 23 / 54 )12.66049382716050.16618600582505376.1826711238757
Winsorized Mean ( 24 / 54 )12.51234567901230.14918371927439283.872058826999
Winsorized Mean ( 25 / 54 )12.51234567901230.14918371927439283.872058826999
Winsorized Mean ( 26 / 54 )12.51234567901230.14918371927439283.872058826999
Winsorized Mean ( 27 / 54 )12.51234567901230.14918371927439283.872058826999
Winsorized Mean ( 28 / 54 )12.51234567901230.14918371927439283.872058826999
Winsorized Mean ( 29 / 54 )12.51234567901230.14918371927439283.872058826999
Winsorized Mean ( 30 / 54 )12.51234567901230.14918371927439283.872058826999
Winsorized Mean ( 31 / 54 )12.51234567901230.14918371927439283.872058826999
Winsorized Mean ( 32 / 54 )12.51234567901230.14918371927439283.872058826999
Winsorized Mean ( 33 / 54 )12.51234567901230.14918371927439283.872058826999
Winsorized Mean ( 34 / 54 )12.72222222222220.12936645538607898.3425122397794
Winsorized Mean ( 35 / 54 )12.72222222222220.12936645538607898.3425122397794
Winsorized Mean ( 36 / 54 )12.72222222222220.12936645538607898.3425122397794
Winsorized Mean ( 37 / 54 )12.72222222222220.12936645538607898.3425122397794
Winsorized Mean ( 38 / 54 )12.72222222222220.12936645538607898.3425122397794
Winsorized Mean ( 39 / 54 )12.72222222222220.12936645538607898.3425122397794
Winsorized Mean ( 40 / 54 )12.47530864197530.104422790174048119.469213772031
Winsorized Mean ( 41 / 54 )12.47530864197530.104422790174048119.469213772031
Winsorized Mean ( 42 / 54 )12.47530864197530.104422790174048119.469213772031
Winsorized Mean ( 43 / 54 )12.47530864197530.104422790174048119.469213772031
Winsorized Mean ( 44 / 54 )12.47530864197530.104422790174048119.469213772031
Winsorized Mean ( 45 / 54 )12.47530864197530.104422790174048119.469213772031
Winsorized Mean ( 46 / 54 )12.47530864197530.104422790174048119.469213772031
Winsorized Mean ( 47 / 54 )12.47530864197530.104422790174048119.469213772031
Winsorized Mean ( 48 / 54 )12.47530864197530.104422790174048119.469213772031
Winsorized Mean ( 49 / 54 )12.47530864197530.104422790174048119.469213772031
Winsorized Mean ( 50 / 54 )12.47530864197530.104422790174048119.469213772031
Winsorized Mean ( 51 / 54 )12.47530864197530.104422790174048119.469213772031
Winsorized Mean ( 52 / 54 )12.47530864197530.104422790174048119.469213772031
Winsorized Mean ( 53 / 54 )12.47530864197530.104422790174048119.469213772031
Winsorized Mean ( 54 / 54 )12.47530864197530.104422790174048119.469213772031
Trimmed Mean ( 1 / 54 )12.88750.23923152321153953.8704089954078
Trimmed Mean ( 2 / 54 )12.85443037974680.23152111714527655.5216324897089
Trimmed Mean ( 3 / 54 )12.82692307692310.22483583967093557.0501708966697
Trimmed Mean ( 4 / 54 )12.79870129870130.21751267128706158.8411756564302
Trimmed Mean ( 5 / 54 )12.77631578947370.21126298005769860.4758854863467
Trimmed Mean ( 6 / 54 )12.760.20609938741880661.9118773704597
Trimmed Mean ( 7 / 54 )12.73648648648650.20142932137617163.2305485590202
Trimmed Mean ( 8 / 54 )12.71232876712330.19631920064347664.7533645484297
Trimmed Mean ( 9 / 54 )12.69444444444440.19243607041900465.9670737237773
Trimmed Mean ( 10 / 54 )12.67605633802820.18819131756873367.357285669667
Trimmed Mean ( 11 / 54 )12.65714285714290.18353932359692368.961477078011
Trimmed Mean ( 12 / 54 )12.63768115942030.17842536481635570.8289495298365
Trimmed Mean ( 13 / 54 )12.6250.17462611787974872.2973181405424
Trimmed Mean ( 14 / 54 )12.61194029850750.17045571473495273.9895421993814
Trimmed Mean ( 15 / 54 )12.59848484848480.16586431266456775.956573455094
Trimmed Mean ( 16 / 54 )12.59230769230770.16260262255509777.4422176865005
Trimmed Mean ( 17 / 54 )12.5781250.16020463007983278.5128681595044
Trimmed Mean ( 18 / 54 )12.56349206349210.15755917275782879.7382459147742
Trimmed Mean ( 19 / 54 )12.55645161290320.15630067260360380.3352372305388
Trimmed Mean ( 20 / 54 )12.54918032786890.15490116817844781.0141103223453
Trimmed Mean ( 21 / 54 )12.54166666666670.1533454355228981.7870230300694
Trimmed Mean ( 22 / 54 )12.53389830508470.15161604878106982.6686779259329
Trimmed Mean ( 23 / 54 )12.52586206896550.14969294253891883.6770381857447
Trimmed Mean ( 24 / 54 )12.51754385964910.14755285624960584.8343039762919
Trimmed Mean ( 25 / 54 )12.51785714285710.14681416412097985.2632797237609
Trimmed Mean ( 26 / 54 )12.51818181818180.14596709112003585.7603020114139
Trimmed Mean ( 27 / 54 )12.51851851851850.14499942199278586.3349546258287
Trimmed Mean ( 28 / 54 )12.51886792452830.14389719555527986.9986928947418
Trimmed Mean ( 29 / 54 )12.51923076923080.14264437495225987.7653309036598
Trimmed Mean ( 30 / 54 )12.51960784313730.14122243583991588.6516916995333
Trimmed Mean ( 31 / 54 )12.520.13960984596692789.6784887433078
Trimmed Mean ( 32 / 54 )12.52040816326530.13778139871033990.8715420256927
Trimmed Mean ( 33 / 54 )12.52083333333330.13570734658863892.2634893988978
Trimmed Mean ( 34 / 54 )12.52127659574470.13335225506688893.8962493694928
Trimmed Mean ( 35 / 54 )12.51086956521740.13250369845588994.4190215896678
Trimmed Mean ( 36 / 54 )12.50.13149481507652795.0607823793303
Trimmed Mean ( 37 / 54 )12.48863636363640.13030219496220895.8436376859078
Trimmed Mean ( 38 / 54 )12.47674418604650.12889803835461696.7954543398195
Trimmed Mean ( 39 / 54 )12.46428571428570.12724904833284597.9518973036478
Trimmed Mean ( 40 / 54 )12.45121951219510.12531494683455699.3594126376124
Trimmed Mean ( 41 / 54 )12.450.12566279974800299.0746666870917
Trimmed Mean ( 42 / 54 )12.44871794871790.12596274060395198.8285733466132
Trimmed Mean ( 43 / 54 )12.44736842105260.12620609271875698.6273178489964
Trimmed Mean ( 44 / 54 )12.44594594594590.12638260447747698.4783150925179
Trimmed Mean ( 45 / 54 )12.44444444444440.12648010861456598.3905262318172
Trimmed Mean ( 46 / 54 )12.44285714285710.12648409139930398.3748786523335
Trimmed Mean ( 47 / 54 )12.44117647058820.12637714252002398.4448312606618
Trimmed Mean ( 48 / 54 )12.43939393939390.12613824487421698.617147811105
Trimmed Mean ( 49 / 54 )12.43750.12574184627546298.912974227794
Trimmed Mean ( 50 / 54 )12.43548387096770.12515662898089499.3593705121771
Trimmed Mean ( 51 / 54 )12.43333333333330.12434385226856599.9915404460774
Trimmed Mean ( 52 / 54 )12.43103448275860.123255078013895100.856164979728
Trimmed Mean ( 53 / 54 )12.42857142857140.121828980774635102.01654277616
Trimmed Mean ( 54 / 54 )12.42592592592590.119986756350054103.560812075576
Median12
Midrange15.5
Midmean - Weighted Average at Xnp12.3522727272727
Midmean - Weighted Average at X(n+1)p12.3522727272727
Midmean - Empirical Distribution Function12.3522727272727
Midmean - Empirical Distribution Function - Averaging12.3522727272727
Midmean - Empirical Distribution Function - Interpolation12.3522727272727
Midmean - Closest Observation12.3522727272727
Midmean - True Basic - Statistics Graphics Toolkit12.3522727272727
Midmean - MS Excel (old versions)12.3522727272727
Number of observations162



Parameters (Session):
Parameters (R input):
R code (references can be found in the software module):
geomean <- function(x) {
return(exp(mean(log(x))))
}
harmean <- function(x) {
return(1/mean(1/x))
}
quamean <- function(x) {
return(sqrt(mean(x*x)))
}
winmean <- function(x) {
x <-sort(x[!is.na(x)])
n<-length(x)
denom <- 3
nodenom <- n/denom
if (nodenom>40) denom <- n/40
sqrtn = sqrt(n)
roundnodenom = floor(nodenom)
win <- array(NA,dim=c(roundnodenom,2))
for (j in 1:roundnodenom) {
win[j,1] <- (j*x[j+1]+sum(x[(j+1):(n-j)])+j*x[n-j])/n
win[j,2] <- sd(c(rep(x[j+1],j),x[(j+1):(n-j)],rep(x[n-j],j)))/sqrtn
}
return(win)
}
trimean <- function(x) {
x <-sort(x[!is.na(x)])
n<-length(x)
denom <- 3
nodenom <- n/denom
if (nodenom>40) denom <- n/40
sqrtn = sqrt(n)
roundnodenom = floor(nodenom)
tri <- array(NA,dim=c(roundnodenom,2))
for (j in 1:roundnodenom) {
tri[j,1] <- mean(x,trim=j/n)
tri[j,2] <- sd(x[(j+1):(n-j)]) / sqrt(n-j*2)
}
return(tri)
}
midrange <- function(x) {
return((max(x)+min(x))/2)
}
q1 <- function(data,n,p,i,f) {
np <- n*p;
i <<- floor(np)
f <<- np - i
qvalue <- (1-f)*data[i] + f*data[i+1]
}
q2 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
qvalue <- (1-f)*data[i] + f*data[i+1]
}
q3 <- function(data,n,p,i,f) {
np <- n*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
qvalue <- data[i+1]
}
}
q4 <- function(data,n,p,i,f) {
np <- n*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- (data[i]+data[i+1])/2
} else {
qvalue <- data[i+1]
}
}
q5 <- function(data,n,p,i,f) {
np <- (n-1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i+1]
} else {
qvalue <- data[i+1] + f*(data[i+2]-data[i+1])
}
}
q6 <- function(data,n,p,i,f) {
np <- n*p+0.5
i <<- floor(np)
f <<- np - i
qvalue <- data[i]
}
q7 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
qvalue <- f*data[i] + (1-f)*data[i+1]
}
}
q8 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
if (f == 0.5) {
qvalue <- (data[i]+data[i+1])/2
} else {
if (f < 0.5) {
qvalue <- data[i]
} else {
qvalue <- data[i+1]
}
}
}
}
midmean <- function(x,def) {
x <-sort(x[!is.na(x)])
n<-length(x)
if (def==1) {
qvalue1 <- q1(x,n,0.25,i,f)
qvalue3 <- q1(x,n,0.75,i,f)
}
if (def==2) {
qvalue1 <- q2(x,n,0.25,i,f)
qvalue3 <- q2(x,n,0.75,i,f)
}
if (def==3) {
qvalue1 <- q3(x,n,0.25,i,f)
qvalue3 <- q3(x,n,0.75,i,f)
}
if (def==4) {
qvalue1 <- q4(x,n,0.25,i,f)
qvalue3 <- q4(x,n,0.75,i,f)
}
if (def==5) {
qvalue1 <- q5(x,n,0.25,i,f)
qvalue3 <- q5(x,n,0.75,i,f)
}
if (def==6) {
qvalue1 <- q6(x,n,0.25,i,f)
qvalue3 <- q6(x,n,0.75,i,f)
}
if (def==7) {
qvalue1 <- q7(x,n,0.25,i,f)
qvalue3 <- q7(x,n,0.75,i,f)
}
if (def==8) {
qvalue1 <- q8(x,n,0.25,i,f)
qvalue3 <- q8(x,n,0.75,i,f)
}
midm <- 0
myn <- 0
roundno4 <- round(n/4)
round3no4 <- round(3*n/4)
for (i in 1:n) {
if ((x[i]>=qvalue1) & (x[i]<=qvalue3)){
midm = midm + x[i]
myn = myn + 1
}
}
midm = midm / myn
return(midm)
}
(arm <- mean(x))
sqrtn <- sqrt(length(x))
(armse <- sd(x) / sqrtn)
(armose <- arm / armse)
(geo <- geomean(x))
(har <- harmean(x))
(qua <- quamean(x))
(win <- winmean(x))
(tri <- trimean(x))
(midr <- midrange(x))
midm <- array(NA,dim=8)
for (j in 1:8) midm[j] <- midmean(x,j)
midm
bitmap(file='test1.png')
lb <- win[,1] - 2*win[,2]
ub <- win[,1] + 2*win[,2]
if ((ylimmin == '') | (ylimmax == '')) plot(win[,1],type='b',main=main, xlab='j', pch=19, ylab='Winsorized Mean(j/n)', ylim=c(min(lb),max(ub))) else plot(win[,1],type='l',main=main, xlab='j', pch=19, ylab='Winsorized Mean(j/n)', ylim=c(ylimmin,ylimmax))
lines(ub,lty=3)
lines(lb,lty=3)
grid()
dev.off()
bitmap(file='test2.png')
lb <- tri[,1] - 2*tri[,2]
ub <- tri[,1] + 2*tri[,2]
if ((ylimmin == '') | (ylimmax == '')) plot(tri[,1],type='b',main=main, xlab='j', pch=19, ylab='Trimmed Mean(j/n)', ylim=c(min(lb),max(ub))) else plot(tri[,1],type='l',main=main, xlab='j', pch=19, ylab='Trimmed Mean(j/n)', ylim=c(ylimmin,ylimmax))
lines(ub,lty=3)
lines(lb,lty=3)
grid()
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Central Tendency - Ungrouped Data',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Measure',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.element(a,'S.E.',header=TRUE)
a<-table.element(a,'Value/S.E.',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('arithmetic_mean.htm', 'Arithmetic Mean', 'click to view the definition of the Arithmetic Mean'),header=TRUE)
a<-table.element(a,arm)
a<-table.element(a,hyperlink('arithmetic_mean_standard_error.htm', armse, 'click to view the definition of the Standard Error of the Arithmetic Mean'))
a<-table.element(a,armose)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('geometric_mean.htm', 'Geometric Mean', 'click to view the definition of the Geometric Mean'),header=TRUE)
a<-table.element(a,geo)
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('harmonic_mean.htm', 'Harmonic Mean', 'click to view the definition of the Harmonic Mean'),header=TRUE)
a<-table.element(a,har)
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('quadratic_mean.htm', 'Quadratic Mean', 'click to view the definition of the Quadratic Mean'),header=TRUE)
a<-table.element(a,qua)
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
for (j in 1:length(win[,1])) {
a<-table.row.start(a)
mylabel <- paste('Winsorized Mean (',j)
mylabel <- paste(mylabel,'/')
mylabel <- paste(mylabel,length(win[,1]))
mylabel <- paste(mylabel,')')
a<-table.element(a,hyperlink('winsorized_mean.htm', mylabel, 'click to view the definition of the Winsorized Mean'),header=TRUE)
a<-table.element(a,win[j,1])
a<-table.element(a,win[j,2])
a<-table.element(a,win[j,1]/win[j,2])
a<-table.row.end(a)
}
for (j in 1:length(tri[,1])) {
a<-table.row.start(a)
mylabel <- paste('Trimmed Mean (',j)
mylabel <- paste(mylabel,'/')
mylabel <- paste(mylabel,length(tri[,1]))
mylabel <- paste(mylabel,')')
a<-table.element(a,hyperlink('arithmetic_mean.htm', mylabel, 'click to view the definition of the Trimmed Mean'),header=TRUE)
a<-table.element(a,tri[j,1])
a<-table.element(a,tri[j,2])
a<-table.element(a,tri[j,1]/tri[j,2])
a<-table.row.end(a)
}
a<-table.row.start(a)
a<-table.element(a,hyperlink('median_1.htm', 'Median', 'click to view the definition of the Median'),header=TRUE)
a<-table.element(a,median(x))
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('midrange.htm', 'Midrange', 'click to view the definition of the Midrange'),header=TRUE)
a<-table.element(a,midr)
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_1.htm','Weighted Average at Xnp',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[1])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_2.htm','Weighted Average at X(n+1)p',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[2])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_3.htm','Empirical Distribution Function',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[3])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_4.htm','Empirical Distribution Function - Averaging',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[4])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_5.htm','Empirical Distribution Function - Interpolation',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[5])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_6.htm','Closest Observation',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[6])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_7.htm','True Basic - Statistics Graphics Toolkit',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[7])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_8.htm','MS Excel (old versions)',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[8])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Number of observations',header=TRUE)
a<-table.element(a,length(x))
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')