Editing Decile (section)

==Special usage: The decile mean==

A moderately robust measure of [[central tendency]] - known as the decile mean - can be computed by making use of a sample's deciles <math>D_{1}</math> to <math>D_{9}</math> (<math>D_{1}</math> = 10th percentile, <math>D_{2}</math> = 20th percentile and so on). It is calculated as follows:<ref name=RanaEtAl2012>{{cite journal
  | first1 = Sohel
  | last1 = Rana
  | first2 = Md.
  | last2 = Siraj-Ud-Doulah
  | first3 = Habshah
  | last3 = Midi
  | first4 = A. H. M. Rahmatullah
  | last4 = Imon
  | title = Decile mean: A new robust measure of central tendency
  | journal = Chiang Mai Journal of Science
  | volume = 39 |issue = 3 |pages = 478–485
  | date = 2012
  | url= https://www.thaiscience.info/journals/Article/CMJS/10905266.pdf
}}</ref>

: <math> DM = \frac{\sum_{i=1}^9 D_{i}} {9} </math>

Apart from serving as an alternative for the [[sample mean and covariance|mean]] and the [[truncated mean]], it also forms the basis for robust measures of [[skewness]] and [[kurtosis]], and even a [[normality test]].<ref name=Siraj-Ud-Doulah2021>{{cite journal
  | first1 = Md.
  | last1 = Siraj-Ud-Doulah
  | title = An Alternative Measures of Moments Skewness Kurtosis and JB Test of Normality
  | journal = Journal of Statistical Theory and Applications
  | volume = 20 |issue = 2 |pages = 219–227
  | date = 2021
  | doi = 10.2991/jsta.d.210525.002
| doi-access = free
  }}</ref>