√ 均方根 RMSRoot Mean Square

使用说明与常见问题How-to & FAQ

「均方根 RMS」是什么？What is the Root Mean Square tool?

RMS = √(Σx² / n)。本地处理。可设置「数据」。RMS = √(Σx² / n). Processed locally. Settings: Data.

如何使用「均方根 RMS」？How do I use the Root Mean Square tool?

在「均方根 RMS」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 Root Mean Square: Fill in "Data"; results are recalculated instantly as you type.

和平均数有什么区别？How does it differ from the mean?

RMS 先平方再平均最后开方：√(Σx² ÷ n)，所以总是不小于绝对值的平均数，对大幅值更敏感，正负值也不会互相抵消。例如 −3 和 3 的平均数是 0，RMS 是 3。RMS squares, averages and then takes the root: √(Σx² ÷ n). It is never less than the mean of absolute values, weights large magnitudes more, and positive and negative values do not cancel: −3 and 3 average 0 but have RMS 3.

能举个计算实例吗？Can you show a worked example?

例如在「均方根 RMS」中填 数据 = 3 4 5，结果区显示：RMS：4.0824829For example, entering Data = 3 4 5 in the Root Mean Square gives: RMS: 4.0824829

有哪些选项可以调整？What options can I adjust?

「均方根 RMS」的设置：「数据」默认 3 4 5。每次生成结果都按当前设置处理。Settings in the Root Mean Square — "Data" default 3 4 5. The result always uses the current settings.

计算精度如何？How precise are the results?

「均方根 RMS」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 Root Mean Square uses double-precision floating point (about 15–16 significant digits); very large or very small values may lose precision.

「均方根 RMS」免费吗？需要注册吗？Is the Root Mean Square free? Do I need an account?

「均方根 RMS」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 Root Mean Square is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.