均值计算器
计算算术平均数、几何平均数、调和平均数、中位数、众数、截尾均值和均方根，提供分步解答。
当您的数据是更大总体的一个子集时使用。应用贝塞尔校正以获得无偏估计。
暂无数据
在标准差计算器中输入数字，即可查看实时统计结果、方差和正态分布图表。
How to Use This Tool Correctly
A calculator page is a practical application interface for a statistical formula. Standard deviation is a measure of dispersion, variance is the average squared deviation from the mean, and a z-score refers to the number of standard deviations a value sits above or below the mean. Choosing the wrong mode can produce a technically correct number for the wrong statistical question.
| Mode | Use it when | Denominator |
|---|---|---|
| Sample | You only measured part of a larger population | n-1 |
| Population | You have every value in the full group | N |
Frequently Asked Questions
What is a standard deviation calculator?
A standard deviation calculator is a web tool that computes the spread of a dataset from the mean. It refers to a practical interface for applying the sample or population formula without doing the arithmetic manually.
When should I use sample mode?
Use sample mode when your data is only a subset of a larger population and you want to estimate the population spread. The n-1 denominator is a correction that improves the estimate.
When should I use population mode?
Use population mode when the dataset already contains every value in the full group you care about. In that case the denominator is N because you are describing the entire population rather than estimating it.
Why is variance different from standard deviation?
Variance is the average squared deviation from the mean, while standard deviation is the square root of variance. Standard deviation is usually easier to interpret because it stays in the original data units.
Can I trust this result for reporting?
You can trust the arithmetic, but critical reports should still verify assumptions, units, and whether sample or population mode matches the underlying problem. A correct formula can still answer the wrong business question if the setup is wrong.