Subject:  Statistics

z-score for x = 72, μ = 80, σ = 4

A negative z-score puts the value two standard deviations below the mean.

Answer z = -2

Solution

  1. Given x = 72, μ = 80, σ = 4
  2. Formula z = (x − μ) / σ
  3. Substitute z = (72 − 80) / 4 = -2
  4. Interpretation 2 standard deviations below the mean

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