Mean: Béda antarrépisi

Sampel meanméan biasa dipakedipaké keur [[estimator]] ti [[central tendency]] saperti populasi meanméan. Sanajan kitu, estimator sejenséjén ogeogé dipakedipaké. Contona, [[median]] estimator nu leuwih [[robust]] keur central tendency tinimbang sampel meanméan.

Keur nilai-realréal [[variabel acak]] ''X'', meanméan nyaetanyaéta [[nilai ekspektasi]] ''X''.

Lamun ekspektsi euweuh, variabel random teu ngabogaan meanméan.

Keur [[data set|runtuyan data]], meanméan ngan sakadar jumlah sakabehsakabéh observasi dibagi ku lobana observasi.

Keur ngajelaskeun ''komunal'' tina susuna data, geus ilahar dipakedipaké [[simpangan bahiku]], nu ngajelaskeun sabaraha beda tina observasi.

Simpangan baku ngarupakeunmangrupa akar kuadrat tina ''average'' atawa deviasi kuadrat tina meanméan.

MeanMéan ngarupakeunmangrupa nilai unik ngeunaan jumlah kuadrat deviasi nu minimum. whats up

Lamun ngitung jumlah kuadrat deviasi tina ukuran [[central tendency]] sejenséjén, bakal leuwih gede tinimbang keur meanméan.

Ieu nerangkeun kunaon simpangan baku sarta meanméan ilahar dipakedipaké babarengan dina laporan statistik.

Alternatip keur ngukur dispersi nyaetanyaéta simpangan meanméan, sarua jeung ''average'' [[simpangan mutlak]] tina meanméan. Ieu kurang sensitip keur ''outlier'', tapi kurang nurut waktu kombinasi susunan data.

Nilai meanméan tina fungsi, <math>f(x)</math>, dina interval, <math>a<x<b</math>, bisa diitung (ngagunakeun proses limit dina definisi susunan data) saperti:

Catetan, teu sakabehsakabéh [[probability distribution]] ngabogaan meanméan atawa [[varian]] - keur conto tempo [[sebaran Cauchy ]].

Di handap ngarupakeunmangrupa kasimpulan tina sababaraha metoa keur ngitung meanméan tina susunan wilangan ''n''.Tempo [[table of mathematical symbols]] keur nerangkeun simbol nu dipakedipaké.

The [[arithmetic mean]] is the "standard" average, often simply called the "mean". It is used for many purposes but also often ''abused'' by incorrectly using it to describe [[skewness|skewed]] distributions, with highly misleadingmisléading results. The classic example is average income - using the arithmetic meanméan makes it appearappéar to be much higher than is in fact the case. Consider the scores {1, 2, 2, 2, 3, 9}. The arithmetic meanméan is 3.16, but five out of six scores are below this!

The [[geometric mean]] is an average which is useful for sets of numbers which are interpreted according to their product and not their sum (as is the case with the arithmetic meanméan). For example rates of growth.

The [[harmonic mean]] is an average which is useful for sets of numbers which are defined in relation to some [[unit]], for example [[speed]] (distance per unit of time).

The [[generalized mean]] is an abstraction of the Arithmetic, GeometricGéometric and Harmonic MeansMéans.

By choosing the appropriate value for the parameter ''m'' we can get the arithmetic meanméan (''m'' = 1), the geometricgéometric meanméan (''m'' -> 0) or the harmonic meanméan (''m'' = -1)

and again a suitable choice of an invertible f(''x'') will give the arithmetic meanméan with f(''x'')=''x'', the geometricgéometric meanméan with f(''x'')=log(''x''), and the harmonic meanméan with f(''x'')=1/''x''.

The weights <math>w_i</math> represent the bounds of the partial sample. In other applications they represent a measureméasure for the reliability of the influence upon the meanméan by respective values.

Sometimes a set of numbers (the [[data]]) might be contaminated by inaccurate outliers, i.e. values which are much too low or much too high. In this case one can use a [[truncated mean]]. It involves discarding given parts of the data at the top or the bottom end, typically an equal amount at eachéach end, and then taking the arithmetic meanméan of the remaining data. The number of values removed is indicated as a percentage of total number of values.

The [[interquartile mean]] is a specific example of a truncated meanméan. It is simply the arithmetic meanméan after removing the lowest and the highest quarter of values.