均值标准误 (SE = s / √n) 计算器
利用 SE = s / √n 计算样本均值的标准误、样本标准差 s 或所需的抽样样本量 n。
Standard deviation of the sampling distribution of x̄
Observed dispersion of individual observations
Number of independent observations in the sample
分步代入计算过程
By the Central Limit Theorem, the Standard Error of the Mean (SE) measures the sampling variability of sample means x̄ across repeated samples of size n: SE = s / √n.
常见参考标准值
Halving standard error requires quadrupling sample size n
Diminishing returns at very large n
Links standard error directly to margin of error
20 行数值对照表
Standard Error of the Mean (SE) · Sample Standard Deviation (s)
| # | Sample Standard Deviation (s) | Standard Error of the Mean (SE) | Δ % |
|---|---|---|---|
| 01 | 15 当前 | 1.5 | 0.00% |
| 02 | 73.1673 | 7.3167 | +387.78% |
| 03 | 146.3246 | 14.6325 | +875.50% |
| 04 | 219.4819 | 21.9482 | +1363.21% |
| 05 | 292.6392 | 29.2639 | +1850.93% |
| 06 | 365.7965 | 36.5796 | +2338.64% |
| 07 | 438.9538 | 43.8954 | +2826.36% |
| 08 | 512.1111 | 51.2111 | +3314.07% |
| 09 | 585.2684 | 58.5268 | +3801.79% |
| 10 | 658.4257 | 65.8426 | +4289.50% |
| 11 | 731.583 | 73.1583 | +4777.22% |
| 12 | 804.7403 | 80.474 | +5264.94% |
| 13 | 877.8976 | 87.7898 | +5752.65% |
| 14 | 951.0548 | 95.1055 | +6240.37% |
| 15 | 1,024.21 | 102.4212 | +6728.08% |
| 16 | 1,097.37 | 109.7369 | +7215.80% |
| 17 | 1,170.53 | 117.0527 | +7703.51% |
| 18 | 1,243.68 | 124.3684 | +8191.23% |
| 19 | 1,316.84 | 131.6841 | +8678.94% |
| 20 | 1,390.00 | 138.9999 | +9166.66% |
常见问题解答 (FAQ)
如何使用在线 均值标准误 (SE = s / √n) 计算器 工具？+
输入已知参数或拖动滑块，即可在浏览器中实时计算并可视化 均值标准误 (SE = s / √n) 计算器（基于关系式 SE = s / √n）。利用 SE = s / √n 计算样本均值的标准误、样本标准差 s 或所需的抽样样本量 n。
可以导出或打印 均值标准误 (SE = s / √n) 计算器 的结果吗？+
可以。支持一键复制数据、打印计算工作表或导出高清 SVG、PNG 和 CSV 文件。
我可以清空 均值标准误 (SE = s / √n) 计算器 中的示例数据并从空白状态开始吗？+
可以。点击工具顶部的“清空 / 空白开始”按钮即可重置所有输入项，随时也可一键重新加载示例数据。