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Subject:  Statistics

Mean, median and mode of {2, 4, 4, 6, 8}

Compute the central-tendency statistics of a small data set with a repeated value.

Answer mean = 4.8, median = 4, mode = 4, σ = 2.03961

Solution

  1. Count & sum n = 5, Σx = 24
  2. Mean x̄ = Σx / n = 24 / 5 = 4.8
  3. Median middle value of the sorted data = 4
  4. Mode 4
  5. Range max − min = 8 − 2 = 6
  6. Population variance σ² = Σ(x − x̄)² / n = 4.16
  7. Population std dev σ = √σ² = 2.03961
  8. Sample variance s² = Σ(x − x̄)² / (n − 1) = 5.2
  9. Sample std dev s = √s² = 2.28035

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