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Jinsi ya kukokotoa Standard Deviation

Standard Deviation ni nini?

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.

Mwongozo wa Hatua kwa Hatua

  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

Mifano Iliyotatuliwa

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

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