Interdecile range

In statistics, the interdecile range is the difference between the first and the ninth deciles (10% and 90%).wikipedia
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Seven-number summary

Bowley's seven-figure summaryseven-figure summary
The interdecile range is a measure of statistical dispersion of the values in a set of data, similar to the range and the interquartile range, and can be computed from the (non-parametric) seven-number summary.
The addition of the deciles allow one to compute the interdecile range, which for a normal distribution can be scaled to give a reasonably efficient estimate of standard deviation, and the 10% midsummary, which when compared to the median gives an idea of the skewness in the tails.

Interquartile range

inter-quartile rangebelowinterquartile
The interdecile range is a measure of statistical dispersion of the values in a set of data, similar to the range and the interquartile range, and can be computed from the (non-parametric) seven-number summary.
Interdecile range

Robust measures of scale

Qn estimatorrobust estimator of dispersionrobust measure of scale
Robust measures of scale
Other trimmed ranges, such as the interdecile range (10% trimmed range) can also be used.

Decile

deciles
In statistics, the interdecile range is the difference between the first and the ninth deciles (10% and 90%).

Statistical dispersion

dispersionvariabilityspread
The interdecile range is a measure of statistical dispersion of the values in a set of data, similar to the range and the interquartile range, and can be computed from the (non-parametric) seven-number summary.

Range (statistics)

rangerangingsample range
The interdecile range is a measure of statistical dispersion of the values in a set of data, similar to the range and the interquartile range, and can be computed from the (non-parametric) seven-number summary.

Efficiency (statistics)

efficientefficiencyinefficient
Despite its simplicity, the interdecile range of a sample drawn from a normal distribution can be divided by 2.56 to give a reasonably efficient estimator of the standard deviation of a normal distribution.

Estimator

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Despite its simplicity, the interdecile range of a sample drawn from a normal distribution can be divided by 2.56 to give a reasonably efficient estimator of the standard deviation of a normal distribution.

Median

averagesample medianmedian-unbiased estimator
Analogous measures of location are given by the median, midhinge, and trimean (or statistics based on nearby points).

Midhinge

Analogous measures of location are given by the median, midhinge, and trimean (or statistics based on nearby points).

Trimean

Analogous measures of location are given by the median, midhinge, and trimean (or statistics based on nearby points).

Standard deviation

standard deviationssample standard deviationsigma
Standard deviation

Statistics

statisticalstatistical analysisstatistician
In statistics, the interdecile range is the difference between the first and the ninth deciles (10% and 90%).

L-estimator

L-estimation
A more detailed list of examples includes: with a single point, the maximum, the minimum, or any single order statistic or quantile; with one or two points, the median; with two points, the mid-range, the range, the midsummary (trimmed mid-range, including the midhinge), and the trimmed range (including the interquartile range and interdecile range); with three points, the trimean; with a fixed fraction of the points, the trimmed mean (including interquartile mean) and the Winsorized mean; with all points, the mean.

Trimmed estimator

trimmedtrimming
Interdecile range, the 10% trimmed range