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| title | chunk | source | category | tags | date_saved | instance |
|---|---|---|---|---|---|---|
| Decile | 1/1 | https://en.wikipedia.org/wiki/Decile | reference | science, encyclopedia | 2026-05-05T12:22:20.766128+00:00 | kb-cron |
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. A decile is one possible form of a quantile; others include the quartile and percentile. 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.
== 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
D
1
{\displaystyle D_{1}}
to
D
9
{\displaystyle D_{9}}
(
D
1
{\displaystyle D_{1}}
= 10th percentile,
D
2
{\displaystyle D_{2}}
= 20th percentile and so on). It is calculated as follows:
D
M
=
∑
i
=
1
9
D
i
9
{\displaystyle DM={\frac {\sum _{i=1}^{9}D_{i}}{9}}}
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.
== See also == Summary statistics Socio-economic decile (for New Zealand schools)
== References ==