计算数据集的标准差、方差及相关统计数据。支持样本和总体两种计算方式。

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标准差计算器

计算数据集的标准差、方差及相关统计数据。支持样本和总体两种计算方式。

输入

输入计算所需的值

结果

查看计算结果

在下面输入值进行计算

什么是 Standard Deviation?

Standard deviation measures the amount of variation or dispersion in a dataset. A low standard deviation indicates values are close to the mean, while high standard deviation indicates values are spread out. It is widely used in finance to measure volatility, in manufacturing for quality control, and in research to measure data reliability. Sample standard deviation (n-1) 提供 an unbiased estimate for population data.

How to use

输入您的 dataset values separated by commas, spaces, or new lines. 选择 whether your data represents a sample (using n-1) or the entire population (using N). The 计算器 computes standard deviation, variance, mean, median, range, coefficient of variation, and other statistical measures.

常见问题

What is standard deviation?

Standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.

What is the difference between Sample and Population?

Use 'Population' when your data set includes every member of the group you want to study. Use 'Sample' when your data represents a subset of a larger group. The calculation formulas differ slightly (Sample divides by N-1, while Population divides by N) to provide an unbiased estimate.

How do I input my data?

You can enter numbers separated by commas, spaces, or new lines. For example, you can paste a column directly from Excel or a CSV file. The calculator will automatically filter out non-numeric characters.

What is Variance?

Variance is the square of the standard deviation. It represents how far each number in the set is from the mean. While standard deviation is expressed in the same units as the original data, variance is expressed in those units squared.

Why is my result 0?

A standard deviation of 0 means that all the numbers in your data set are exactly the same. There is no variation or spread between the values.

What does Count (N) mean?

Count, often represented as 'N', simply refers to the total number of valid data points or observations you have entered into the calculator.

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