数学

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统计计算器.

Calculate mean, median, mode, range, variance, and standard deviation

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01

输入数值

输入时结果会更新。

常见问题

Can I enter values separated by commas or spaces?

Yes. The calculator accepts commas, spaces, semicolons, and line breaks.

Does this use sample or population variance?

This tool reports sample variance and sample standard deviation by default.

How to Use the Statistics Calculator

Enter a data set to compute mean, median, mode, range, variance, and standard deviation.

  1. Enter your numbers separated by commas or spaces.
  2. The calculator computes all summary statistics.
  3. Review measures of center and spread.

Key Statistics Formulas

Mean

x̄ = Σx / n

Sum of values divided by the count.

Example:

Input: 2, 4, 6

Calculation: 12 / 3

Result: 4

Sample Variance

s² = Σ(x − x̄)² / (n − 1)

Average squared deviation, using n−1 for a sample.

Example:

Input: 2, 4, 6

Calculation: (4+0+4)/2

Result: 4

Standard Deviation

s = √s²

Square root of the variance, in the original units.

Example:

Input: variance = 4

Calculation: √4

Result: 2

Real-World Use Cases

Data Analysis

Summarize a dataset before deeper analysis.

Quality Control

Track spread to detect process drift.

Tips

Tips

  • Use sample (n−1) statistics for a sample, population (n) for a full population.
  • The median resists outliers better than the mean.
统计计算器 | Mathify