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如何计算Standard Deviation

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Standard deviation measures how spread out the values in a dataset are from the mean. A low standard deviation means values cluster tightly; a high one means they are spread out. It is the square root of variance.

分步指南

  1. 1Find the mean x̄
  2. 2Subtract the mean from each value and square the result: (xᵢ − x̄)²
  3. 3Average the squared differences (÷n for population, ÷(n−1) for sample)
  4. 4Take the square root

例题解析

输入
2, 4, 4, 4, 5, 5, 7, 9
结果
σ = 2.0, mean = 5
Population std dev
输入
Heights: 170,172,168,175,165
结果
σ ≈ 3.49 cm
Mean = 170 cm

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