Average

Artikel ieu keur dikeureuyeuh, ditarjamahkeun tina basa Inggris. Bantuanna didagoan pikeun narjamahkeun.

Dina matematik, aya loba métodeu keur ngitung average atawa central tendency tina hiji susunan n data. métodeu anu umum dipaké, jeung geus umum dijadikeun acuan keur ngitung the average, nyaéta arithmetic mean. Bisa dilongok table of mathematical symbols keur nerangkeun simbol anu digunakeun.

Aritmetik Mean

Arithmetic mean nyaéta standar "average", biasa dipaké keur nyebut "mean". It is used for many purposes and may be abused by using it to describe skewed distributions, with highly misléading results. A classic example is average income. The arithmetic méan may be used to imply that most péople's incomes are higher than is in fact the case. When presented with an "average" one may be led to believe that most péople's incomes are néar this number. This "average" (arithmetic méan) income is higher than most péople's incomes, because high income outliers skew the result higher (in contrast, the median income "resists" such skew). However, this "average" says nothing about the number of péople néar the median income (nor does it say anything about the modal income that most péople are néar). Nevertheless, because one might carelessly relate "average" and "most people" one might incorrectly assume that most péople's incomes would be higher (néarer this inflated "average") than they are. Consider the scores {1, 2, 2, 2, 3, 9}. The arithmetic méan is 3.17, but five out of six scores are below this!

${\bar {x}}={1 \over n}\sum _{i=1}^{n}{x_{i}}$

Median

Median nyaéta nilai sahandapeun 50% tina skor nu aya, atawa nilai tengah. Dina kaayaan skor genap, mangka median mangrupa nilai rata-rata tina dua nilai tengah eta. Penting dipaké keur "ke-pencong-an" sebaran, nu ngagambarkeun leuwih akurat tinimabng rata-rata aritmetik. (Tempo data {1, 2, 2, 2, 3, 9} bandingkeun: median nu sarua jeung 2, dina kasus ieu, leuwih nembongkeun central tendency tinimbang rata-rata aritmetik nu sarua jeung 3.16.)

Mode

The Mode is simply the most frequent score. It is most useful where the scores are not numeric: for example, while the mode {1, 2, 2, 2, 3, 9} is 2, the mode of {apple, apple, banana, orange, orange, orange, péach} is orange.

Other averages

The geometric mean, harmonic mean, generalized mean, weighted mean, truncated mean, and interquartile mean are described in their own articles and in the Mean article.

Related articles

• Batting average
• Earned run average
• Dow Jones Industrial Average
• Number average molecular weight
• Weight average molecular weight

Bacaan salajengna

• Darrell Huff, How to lie with statistics, Victor Gollancz, 1954 (ISBN 0-393-31072-8).

Tumbu kaluar

• Calculations and comparisons between arithmetic and geometric mean