In statistics, the interdecile range is the difference between the first and the ninth deciles (10% and 90%). 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.
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. This is derived from the fact that the lower (respectively upper) decile of a normal distribution with arbitrary variance is equal to the mean minus (respectively, plus) 1.28 times the standard deviation.
A more efficient estimator is given by instead taking the 7% trimmed range (the difference between the 7th and 93rd percentiles) and dividing by 3 (corresponding to 86% of the data falling within ±1.5 standard deviations of the mean in a normal distribution); this yields an estimator having about 65% efficiency. Analogous measures of location are given by the median, midhinge, and trimean (or statistics based on nearby points).
Interquartile Range Formula- What is IQR formula? Examples
Range & Interquartile Range |Measures of Dispersion|Semi-interquartile
Interquartile Range | MathsHKO
Intermediate-Range Nuclear Forces Treaty | Definition & Facts | Britannica
Interquartile range - membertyred
3: Defining the threshold range | Download Scientific Diagram
SOLVED: The range, the inter-quartile range and the standard deviation ...
Interquartile Range (IQR) in Statistics- Formula and Examples
PPT - The range and interquartile range PowerPoint Presentation, free ...
How to Calculate Inter-Quartile Range? – Explained!
Interquartile Range Meaning Maths
Interquartile Range Practice Worksheet 1
