Elementary Mathematics & Statistics

Mean, Median, Mode & Dispersion

Arithmetic/Geometric/Harmonic Mean, Median, Mode, Standard Deviation, and Variance.

Target: EPFO APFC 2026Topic-Level RAG Context ActiveModel: Nemotron 3.5 Lightning 30B / 120B

Topic Overview

Arithmetic/Geometric/Harmonic Mean, Median, Mode, Standard Deviation, and Variance.

Key Syllabus Concepts

  • Relationship between Mean, Median, and Mode: Mode = 3*Median - 2*Mean (empirical relationship)
  • Geometric Mean (for growth rates) & Harmonic Mean (for average speed/rates)
  • Measures of Dispersion: Range, Quartile Deviation, Variance (σ²), Standard Deviation (σ)
  • Coefficient of Variation (CV = (σ / Mean) * 100)

High-Yield Important Points & Rules

  • 💡 Mode = 3 Median - 2 Mean for moderately skewed distributions.
  • 💡 Standard deviation is unaffected by change of origin (adding/subtracting constant) but affected by change of scale.

Historical UPSC EPFO PYQ Relevance

3 Matched PYQs
2025EPFO APFCGeneral Ability Test• Q.42
Full Question
Which of the following statements about National e-Vidhan Application (NeVA) is/are correct?
1
It is a Mission Mode Project (MMP) under the Digital India Programme (DIP) of the Government of India.
2
This application is based on the principle of 'One Nation - One Application'.
3
It has been developed by the Parliament Secretariat.
4
Its core aim is for end-to-end digitalisation of all the functions of the State Legislatures.
2025EPFO APFCGeneral Ability Test• Q.43
Full Question
Support for Marginalized Individuals for Livelihood and Enterprise (SMILE) Scheme is meant for the rehabilitation of:
1
Transgender persons
2
Persons engaged in the act of Begging
2025EPFO APFCGeneral Ability Test• Q.60
Full Question
For training and deploying complex models in Artificial Intelligence, which one among the following is preferred ?

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