AVG% 平均百分比计算器（简单平均与加权平均）Average Percentage Calculator (Simple & Weighted)
算一组百分比的简单平均；如果填写每个百分比对应的样本量（人数、件数等），还会算加权平均，也就是合并后的总百分比，并说明两者为什么不同。本地处理。Average a list of percentages. If you add the sample size behind each percentage (people, items and so on) you also get the weighted average, which is the combined overall percentage, and why the two differ. Processed locally.
使用说明与常见问题How-to & FAQ
「平均百分比计算器（简单平均与加权平均）」是什么？What is the Average Percentage Calculator (Simple & Weighted) tool?
算一组百分比的简单平均；如果填写每个百分比对应的样本量（人数、件数等），还会算加权平均，也就是合并后的总百分比，并说明两者为什么不同。本地处理。Average a list of percentages. If you add the sample size behind each percentage (people, items and so on) you also get the weighted average, which is the combined overall percentage, and why the two differ. Processed locally.
如何使用「平均百分比计算器（简单平均与加权平均）」？How do I use the Average Percentage Calculator (Simple & Weighted) tool?
在「平均百分比计算器（简单平均与加权平均）」中，填写「百分比（空格或逗号分隔，% 可省略）」、「对应样本量（可选，与百分比一一对应）」等参数，结果会随输入实时计算并显示在下方。In the Average Percentage Calculator (Simple & Weighted): Fill in "Percentages (spaces or commas, % optional)", "Sample sizes (optional, one per percentage)"; results are recalculated instantly as you type.
可以直接把百分比相加再除吗？Can I just add the percentages and divide?
只有各组大小相同时才行。例如 A 班 10 人及格率 80%，B 班 30 人及格率 90%，简单平均是 85%，但合并后 40 人中有 8 + 27 = 35 人及格，是 87.5%。Only if the groups are the same size. If class A has 10 students with 80% passing and class B has 30 with 90%, the simple average is 85%, but together 8 + 27 = 35 of 40 passed, which is 87.5%.
加权平均怎么算？How is the weighted average worked out?
加权平均 = Σ(百分比 × 样本量) ÷ Σ样本量。它等于把各组合并后重新算出的百分比。Weighted average = Σ(percentage × sample size) ÷ Σ sample sizes. It equals the percentage you get by pooling all the groups.
百分比可以带 % 吗？Can I type the % sign?
可以，% 会被忽略，空格、换行或“逗号 + 空格”都能分隔；逗号后没有空格（如 80,90）可能是千位或小数逗号，页面会提示改写。Yes. The % sign is ignored, and spaces, new lines or a comma followed by a space all separate values; a comma with no space after it (such as 80,90) could be a thousands or decimal comma, so the page asks you to rewrite it.
能举个计算实例吗？Can you show a worked example?
例如在「平均百分比计算器（简单平均与加权平均）」中填 百分比（空格或逗号分隔，% 可省略） = 10 20 30，结果区显示：简单平均：20%；个数：3；ℹ 各组大小不同时，简单平均不等于合并后的百分比；填写样本量可得到加权平均For example, entering Percentages (spaces or commas, % optional) = 10 20 30 in the Average Percentage Calculator (Simple & Weighted) gives: Simple average: 20%; Count: 3; ℹ when the groups differ in size, the simple average is not the combined percentage; add sample sizes for the weighted average
有哪些选项可以调整？What options can I adjust?
「平均百分比计算器（简单平均与加权平均）」的设置：「百分比（空格或逗号分隔，% 可省略）」默认 80%, 90%, 75%；「对应样本量（可选，与百分比一一对应）」可留空。每次生成结果都按当前设置处理。Settings in the Average Percentage Calculator (Simple & Weighted) — "Percentages (spaces or commas, % optional)" default 80%, 90%, 75%; "Sample sizes (optional, one per percentage)" optional. The result always uses the current settings.
计算精度如何？How precise are the results?
「平均百分比计算器（简单平均与加权平均）」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 Average Percentage Calculator (Simple & Weighted) uses double-precision floating point (about 15–16 significant digits); very large or very small values may lose precision.
「平均百分比计算器（简单平均与加权平均）」免费吗？需要注册吗？Is the Average Percentage Calculator (Simple & Weighted) free? Do I need an account?
「平均百分比计算器（简单平均与加权平均）」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 Average Percentage Calculator (Simple & Weighted) is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.