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Central Tendency

Central Tendency

Feb 07, 2024

Central Tendency

Central Tendency - Types

Statisticpopulation parameter notation

sample statistic notation

Description
Mode



  • most occurring value in the distribution
Median𝑀𝑀̅ or 𝑥̃
  • the middle value in the sorted distribution
  • same as 0.5-quantile, 50th percentile, and 2nd quartile
  • is a value 𝑚 that minimizes 𝐄[|𝑋 - 𝑚|]
Arithmetic Mean

𝜇

𝑋̅

  • average in distribution
  • is a value 𝑚 that minimizes 𝐄[(𝑋 - 𝑚)2]
Harmonic Mean

  • average in distribution
Root Mean Square
Quadratic Mean

  • ignores negative sign in computing the arithmetic mean
Geometric Mean

  • average in distribution
Mid Range

Central Tendency - Subpages