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Measurement of Intelligence - Intelligence Quotient

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Topics

  • Introduction
  • IQ Levels and Interpretation
  • Formula of IQ
  • Example
  • Activity: Calculation of IQ
  • Real-Life Application
  • Key Point Summary
CISCE: Class 12

Introduction

Intelligence Quotient (I.Q.) is a standardized measure of an individual’s intellectual ability, indicating how their mental age compares with their chronological age. First introduced by William Stern in 1912 and refined by Lewis Terman, IQ helps psychologists assess learning strengths, cognitive challenges, and identify intellectual giftedness or disability.

CISCE: Class 12

IQ Levels and Interpretation

CISCE: Class 12

Formula of IQ

\[\mathrm{IQ}=\frac{\text{Mental Age (MA)}}{\text{Chronological Age (CA)}}\times100\]

  • Mental Age (MA): The level at which a person can solve problems or answer questions, compared to the average abilities of a specific age group.
  • Chronological Age (CA): The actual age in years.
CISCE: Class 12

Example

Individual Mental Age (in years) Chronological Age (in years) Relation between Mental Age and Chronological Age Intelligent Quotient (I.Q.)
Esha 12 10 M.A. is greater than C.A. 120 (Above Average)
Ankit 10 10 M.A. is equal to C.A. 100 (Average)
Rajesh 08 10 M.A. is less than C.A. 80 (Below Average)
CISCE: Class 12

Activity: Calculation of IQ

1. Aabha is a genius girl. Her chronological age is 8 years, and her mental age is 14 years. Find out her I.Q.

  • Aabha: M.A. = 14, C.A. = 8
    I.Q. = (14 ÷ 8) × 100 = 175 (“Genius/Exceptionally Gifted”)

2. Mayur has learning disabilities. His chronological age is 8 years, and his mental age is 6 years. Find out his I.Q.

  • Mayur: M.A. = 6, C.A. = 8
    I.Q. = (6 ÷ 8) × 100 = 75 (“Below Average”)

CISCE: Class 12

Real-Life Application

Imagine a classroom with ten-year-old students. If Esha solves problems like a twelve-year-old, her mental age is higher than her actual age—making her “above average.” Rajesh, solving like an eight-year-old, scores below his age group and is “below average.”

CISCE: Class 12

Key Point Summary

  • I.Q. compares mental and chronological age to assess intelligence.
  • Average I.Q. is 100; higher scores indicate advanced cognitive ability, while lower scores may signal learning challenges.
  • I.Q. tests help in educational planning (gifted education, remedial support).
  • IQ does not measure creativity, personality, or emotional skills.

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