Central Tendency

Central Tendency - Types

Statistic

population parameter notation

sample statistic notation

Description

Mode

  • most occurring value in the distribution

Median

𝑀

𝑀̅ 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