📏 中程数计算器Midrange Calculator

使用说明与常见问题How-to & FAQ

「中程数计算器」是什么？What is the Midrange Calculator tool?

输入一组数据，计算中程数（最大值与最小值的平均数）、极差，并与平均数、中位数对比。Find the midrange — the average of the largest and smallest values — of a data set, with the range, mean and median for comparison.

如何使用「中程数计算器」？How do I use the Midrange Calculator tool?

在「中程数计算器」中，填写上方字段等参数，结果会随输入实时计算并显示在下方。In the Midrange Calculator: Fill in the fields above; results are recalculated instantly as you type.

中程数怎么算？How is the midrange calculated?

中程数 = (最大值 + 最小值) ÷ 2。它只取决于两个极端值，计算简单，但对异常值非常敏感。Midrange = (maximum + minimum) ÷ 2. It depends only on the two extremes, so it is quick but very sensitive to outliers.

中程数和中位数一样吗？Is it the same as the median?

不一样。中位数是排序后位于中间的数，例如 3、7、8、12、15、21 的中位数是 10，中程数是 12。No. The median is the middle value after sorting; for 3, 7, 8, 12, 15, 21 the median is 10 but the midrange is 12.

计算精度如何？How precise are the results?

「中程数计算器」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 Midrange Calculator uses double-precision floating point (about 15–16 significant digits); very large or very small values may lose precision.

「中程数计算器」免费吗？需要注册吗？Is the Midrange Calculator free? Do I need an account?

「中程数计算器」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 Midrange Calculator is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.