📏 中位数绝对偏差 MADMedian Absolute Deviation
MAD = median(|x_i - median(x)|)。本地处理。可设置「数据」。MAD = median(|x_i - median(x)|). Processed locally. Settings: Data.
使用说明与常见问题How-to & FAQ
「中位数绝对偏差 MAD」是什么？What is the Median Absolute Deviation tool?
MAD = median(|x_i - median(x)|)。本地处理。可设置「数据」。MAD = median(|x_i - median(x)|). Processed locally. Settings: Data.
如何使用「中位数绝对偏差 MAD」？How do I use the Median Absolute Deviation tool?
在「中位数绝对偏差 MAD」中，填写「数据」等参数，结果会随输入实时计算并显示在下方。In the Median Absolute Deviation: Fill in "Data"; results are recalculated instantly as you type.
和标准差有什么不同？How does it differ from the standard deviation?
MAD 取的是与中位数偏差的中位数，个别离群点几乎不影响结果；标准差把偏差平方后平均，离群点影响很大。正态数据中，标准差 ≈ 1.4826 × MAD。MAD is the median of distances from the median, so a few outliers barely move it; the standard deviation averages squared deviations and is pulled hard by outliers. For normal data, SD ≈ 1.4826 × MAD.
能举个计算实例吗？Can you show a worked example?
例如在「中位数绝对偏差 MAD」中填 数据 = 1 2 3 4 5 100，结果区显示：中位数：3.5；MAD：1.5For example, entering Data = 1 2 3 4 5 100 in the Median Absolute Deviation gives: Median: 3.5; MAD: 1.5
有哪些选项可以调整？What options can I adjust?
「中位数绝对偏差 MAD」的设置：「数据」默认 1 2 3 4 5 100。每次生成结果都按当前设置处理。Settings in the Median Absolute Deviation — "Data" default 1 2 3 4 5 100. The result always uses the current settings.
计算精度如何？How precise are the results?
「中位数绝对偏差 MAD」使用 JavaScript 双精度浮点数（约 15–16 位有效数字）；极大或极小的数值可能存在精度误差。The Median Absolute Deviation uses double-precision floating point (about 15–16 significant digits); very large or very small values may lose precision.
「中位数绝对偏差 MAD」免费吗？需要注册吗？Is the Median Absolute Deviation free? Do I need an account?
「中位数绝对偏差 MAD」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The Median Absolute Deviation is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.