Decile
Template:Short description In descriptive statistics, a decile is any of the nine values that divide the sorted data into ten equal parts, so that each part represents 1/10 of the sample or population.<ref>Template:Citation.</ref> A decile is one possible form of a quantile; others include the quartile and percentile.<ref>Template:Citation.</ref> A decile rank arranges the data in order from lowest to highest and is done on a scale of one to ten where each successive number corresponds to an increase of 10 percentage points.
Special usage: The decile meanEdit
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>Template:Cite journal</ref>
- <math> DM = \frac{\sum_{i=1}^9 D_{i}} {9} </math>
Apart from serving as an alternative for the 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>Template:Cite journal</ref>
See alsoEdit
- Summary statistics
- Socio-economic decile (for New Zealand schools)