# 集中趋势

## 集中趨勢的統計量

winsorized mean

${\displaystyle {\frac {\overbrace {x_{2}+x_{2}} +x_{3}+x_{4}+x_{5}+x_{6}+x_{7}+x_{8}+\overbrace {x_{9}+x_{9}} }{10}}}$

## 平均數、中位數與眾數的關係

${\displaystyle {\frac {|\theta -\mu |}{\sigma }}\leq {\sqrt {3}}}$
${\displaystyle {\frac {|\nu -\mu |}{\sigma }}\leq {\sqrt {0.6}}}$
${\displaystyle {\frac {|\theta -\nu |}{\sigma }}\leq {\sqrt {3}}}$

${\displaystyle {\frac {|\nu -\mu |}{\sigma }}\leq 1}$

## 參考文獻

1. ^ Weisberg， H. F. (1992) Central Tendency and Variability, Sage University Paper Series on Quantitative Applications in the Social Sciences, ISBN 0-8039-4007-6 p. 2.
2. ^ Dodge, Y. (2003) The Oxford Dictionary of Statistical Terms, OUP for International Statistical Institute. ISBN 0-19-920613-9 (entry for "central tendency")
3. Upton, G.; Cook, I. (2008) Oxford Dictionary of Statistics, OUP ISBN 978-0-19-954145-4 (entry for "central tendency")
4. ^ 中程數 mid-range. [2019-12-03]. （原始内容存档于2019-12-03）.
5. ^ Johnson NL, Rogers CA (1951) "The moment problem for unimodal distributions". Annals of Mathematical Statistics, 22 (3) 433–439
6. ^ Hotelling H, Solomons LM (1932) The limits of a measure of skewness. Annals Math Stat 3, 141–114
7. ^ Garver (1932) Concerning the limits of a mesuare of skewness. Ann Math Stats 3(4) 141–142