Paper II · 2 Central Tendency, Dispersion, Skewness & Kurtosis · 2.2 Dispersion, skewness and the normal distribution

2.2.2 Moments, skewness (Karl Pearson and Bowley), kurtosis and the normal distribution

Skewness measures the lack of symmetry of a distribution, kurtosis measures how peaked it is compared with the normal curve, and moments give one family of formulas for both; the normal distribution is the symmetric, mesokurtic benchmark.

  • TGPSC MPSO / ASO · Paper II
  • Advanced level
  • 10 min read
  • Full course

Key terms

  • moments
  • raw moments
  • central moments
  • beta coefficients
  • gamma coefficients
  • skewness
  • positive skewness
  • negative skewness
  • Karl Pearson coefficient of skewness
  • Bowley coefficient of skewness
  • Kelly coefficient
  • kurtosis
  • leptokurtic
  • mesokurtic
  • platykurtic
  • normal distribution
  • standard normal
  • z score
  • area under normal curve
  • Sheppard's correction

What this note covers

  1. Core factsFoundation
  2. ExplainedStandard
  3. DeeperAdvanced
  4. Mains writingMains writing
  5. Common trapsFoundation
  6. Quick revisionFoundation

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