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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.

Guida passo passo

  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

Esempi risolti

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

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