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How Do You Find The Absolute Deviation

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Chesser Ai Answer

Mean Absolute Deviation (MAD) is the average distance from a center (mean or median).

Key Concepts

  • Concept: Center: mean x̄ or median x̃
  • Concept: Deviation: absolute value |x_i − center|
  • Concept: MAD interpretation: average spread around center

Steps

  1. Action: Choose center (mean or median)
  2. Action: Compute |x_i − center| for each data point
  3. Action: Average deviations: sum of deviations / n

Formula

$$mathrm{MAD}_{text{mean}} = frac{1}{n} sum_{i=1}^n |x_i – bar{x}|,qquad
mathrm{MAD}_{text{median}} = frac{1}{n} sum_{i=1}^n |x_i – tilde{x}|.$$

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