数学

标准差计算器

计算均值、中位数、众数、方差和标准差

使用方法
  1. Enter your data values separated by commas, spaces, or new lines.
  2. Statistics update instantly as you type — no button press needed.
  3. Population Std Dev (σ) — use when your data is the entire population.
  4. Sample Std Dev (s) — use when your data is a sample from a larger population (divides by N−1).

公式

Mean (μ) = Σx / N
Population Variance (σ²) = Σ(xᵢ − μ)² / N
Population Std Dev (σ) = √(σ²)
Sample Variance (s²) = Σ(xᵢ − x̄)² / (N−1)
Sample Std Dev (s) = √(s²)
Median Middle value of sorted data
Range Max − Min