📏 组距计算器（含斯特奇斯组数与频数表）Class Width Calculator (with Sturges Classes & Frequency Table)
由最小值、最大值和组数算组距 =（最大 − 最小）÷ 组数并向上取整；也可粘贴原始数据，自动取最值，未填组数时按斯特奇斯公式 k = ⌈1 + log₂n⌉ 定组数，并列出各组区间和频数。本地处理。Class width = (max − min) ÷ number of classes, rounded up. Or paste the raw data: the min and max are taken from it, the number of classes defaults to the Sturges rule k = ⌈1 + log₂n⌉, and every class interval is listed with its frequency. Processed locally.
使用说明与常见问题How-to & FAQ
「组距计算器（含斯特奇斯组数与频数表）」是什么？What is the Class Width Calculator (with Sturges Classes & Frequency Table) tool?
由最小值、最大值和组数算组距 =（最大 − 最小）÷ 组数并向上取整；也可粘贴原始数据，自动取最值，未填组数时按斯特奇斯公式 k = ⌈1 + log₂n⌉ 定组数，并列出各组区间和频数。本地处理。Class width = (max − min) ÷ number of classes, rounded up. Or paste the raw data: the min and max are taken from it, the number of classes defaults to the Sturges rule k = ⌈1 + log₂n⌉, and every class interval is listed with its frequency. Processed locally.
如何使用「组距计算器（含斯特奇斯组数与频数表）」？How do I use the Class Width Calculator (with Sturges Classes & Frequency Table) tool?
在「组距计算器（含斯特奇斯组数与频数表）」中，填写「原始数据（可选，空格或逗号分隔）」、「最小值」、「最大值」、「组数（可选，有数据时默认用斯特奇斯公式）」、「组距向上取整到」等参数，结果会随输入实时计算并显示在下方。In the Class Width Calculator (with Sturges Classes & Frequency Table): Fill in "Raw data (optional, spaces or commas)", "Minimum", "Maximum", "Number of classes (optional with data: Sturges rule)", "Round the width up to"; results are recalculated instantly as you type.
组距怎么算？How is the class width found?
组距 =（最大值 − 最小值）÷ 组数，然后向上取整到方便的数（整数、0.1 等）。例如数据从 0 到 99，分 10 组，9.9 向上取整为 10。向上而不是四舍五入，是为了让所有数据都落在这些组里。Class width = (maximum − minimum) ÷ number of classes, then rounded up to a convenient value (a whole number, 0.1 and so on). Data from 0 to 99 in 10 classes gives 9.9, rounded up to 10. It is rounded up rather than to the nearest value so every data point fits in a class.
分几组合适？How many classes should I use?
常用斯特奇斯公式 k = ⌈1 + log₂n⌉，n 是数据个数：20 个数据约 6 组，100 个约 8 组。一般 5–20 组比较合适，数据很多或分布偏斜时可以多分几组。The Sturges rule k = ⌈1 + log₂n⌉ is common, with n the number of values: about 6 classes for 20 values and 8 for 100. Between 5 and 20 classes usually works; use more for large or skewed data sets.
区间端点怎么算？How are the class limits handled?
每一组包含下限、不含上限，例如 [0, 10) 含 0 不含 10；最后一组包含上限，所以最大值一定被计入。Each class includes its lower limit and excludes its upper one, so [0, 10) contains 0 but not 10. The last class includes its upper limit, so the maximum is always counted.
能举个计算实例吗？Can you show a worked example?
例如在「组距计算器（含斯特奇斯组数与频数表）」中填 最小值 = 0，最大值 = 100，组数（可选，有数据时默认用斯特奇斯公式） = 10，组距向上取整到 = 整数，结果区显示：极差（最大 − 最小）：100；组数 k：10 （你填写的）；未取整组距：10；组距：10；ℹ 组距 = 极差 ÷ 组数，向上取整，保证最大值落在最后一组（最后一组含上限）For example, entering Minimum = 0, Maximum = 100, Number of classes (optional with data: Sturges rule) = 10, Round the width up to = whole number in the Class Width Calculator (with Sturges Classes & Frequency Table) gives: Range (max − min): 100; Number of classes k: 10 (your choice); Unrounded width: 10; Class width: 10; ℹ width = range ÷ classes, rounded up so the maximum falls in the last class (the last class includes its upper limit)
哪些输入会被检查？Which inputs are validated?
「组距计算器（含斯特奇斯组数与频数表）」会检查这些输入——「最小值」、「最大值」：可留空；「组数（可选，有数据时默认用斯特奇斯公式）」：须为整数；绝对值超过 10¹⁵ 的数也会被拒绝。不符合时结果区显示具体提示，不会给出数字。The Class Width Calculator (with Sturges Classes & Frequency Table) checks its inputs — "Minimum", "Maximum": optional; "Number of classes (optional with data: Sturges rule)": must be a whole number; numbers above 10¹⁵ in absolute value are rejected too. When a value fails, the result area names the problem instead of showing a number.
有哪些选项可以调整？What options can I adjust?
「组距计算器（含斯特奇斯组数与频数表）」的设置：「原始数据（可选，空格或逗号分隔）」可留空；「最小值」默认 0；「最大值」默认 100；「组数（可选，有数据时默认用斯特奇斯公式）」默认 10；「组距向上取整到」可选 整数、0.1、0.01、不取整（默认 整数）。每次生成结果都按当前设置处理。Settings in the Class Width Calculator (with Sturges Classes & Frequency Table) — "Raw data (optional, spaces or commas)" optional; "Minimum" default 0; "Maximum" default 100; "Number of classes (optional with data: Sturges rule)" default 10; "Round the width up to": whole number, 0.1, 0.01, no rounding (default whole number). The result always uses the current settings.
计算精度如何？How precise are the results?
「组距计算器（含斯特奇斯组数与频数表）」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 Class Width Calculator (with Sturges Classes & Frequency Table) uses double-precision floating point (about 15–16 significant digits); very large or very small values may lose precision.
「组距计算器（含斯特奇斯组数与频数表）」免费吗？需要注册吗？Is the Class Width Calculator (with Sturges Classes & Frequency Table) free? Do I need an account?
「组距计算器（含斯特奇斯组数与频数表）」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 Class Width Calculator (with Sturges Classes & Frequency Table) is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.