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单词 Interquartile range
释义

Interquartile range

中文百科

四分位距

图示中箱形图(有四分位数及四分位距)和概率密度函数 为描述一个常规总量 N(0,1σ2)的分布情况

四分位距interquartile range, IQR)。是描述统计学中的一种方法,以确定第三四分位数和第一四分位数的分别(即Q_1,\ Q_3 的差距)。与方差、标准差一样,表示统计数据中各变量分散情形,但四分差更多为一种稳健统计(robust statistic)。

四分位差Quartile Deviation, QD),是Q_1,\ Q_3 的差距,即QD = (Q_3 - Q_1)/2

英语百科

Interquartile range 四分位距

Boxplot (with an interquartile range) and a probability density function (pdf) of a Normal N(0,σ2) Population
Figure 3. Box-and-whisker plot with four close and one far away extreme values, defined as outliers above Q3 + 1.5(IQR) and Q3 + 3(IQR), respectively.

In descriptive statistics, the interquartile range (IQR), also called the midspread or middle fifty, is a measure of statistical dispersion, being equal to the difference between the upper and lower quartiles, IQR = Q3   Q1. In other words, the IQR is the 1st quartile subtracted from the 3rd quartile; these quartiles can be clearly seen on a box plot on the data. It is a trimmed estimator, defined as the 25% trimmed range, and is the most significant basic robust measure of scale.

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更新时间:2025/6/18 3:13:28