Question

Explain the concept of 'Intelligence Quotient' (IQ) and how it is calculated.

Hint:

The traditional formula for IQ is: \[ IQ=\frac{MA}{CA}\times100 \] A score of {100} represents average intelligence, where mental age equals chronological age.

Answer 1

Concept: The Intelligence Quotient (IQ) is a measure used to assess a person's intellectual abilities in relation to others. It indicates an individual's capacity for reasoning, problem-solving, learning, and understanding complex ideas. IQ tests are widely used in psychology and education to evaluate cognitive abilities.
Step 1:Meaning of Intelligence Quotient.
Intelligence Quotient (IQ) refers to a numerical score obtained from standardized tests designed to measure human intelligence. It compares a person's mental ability with the average performance of individuals of the same age group.
Step 2:Concept of Mental Age and Chronological Age.
The calculation of IQ is based on two important concepts:

• 
  Mental Age (MA): The level of intellectual functioning of an individual as determined by intelligence tests.
• 
  Chronological Age (CA): The actual age of a person measured in years.

Step 3:Formula for calculating IQ.
The Intelligence Quotient is calculated using the formula: \[ IQ=\frac{\text{Mental Age (MA)}}{\text{Chronological Age (CA)}} \times 100 \]
Step 4:Example of IQ calculation.
If a child of chronological age \(10\) years has a mental age of \(12\) years, then: \[ IQ=\frac{12}{10}\times100=120 \] This indicates that the child's intellectual ability is above the average level for their age group.
Step 5:Interpretation of IQ scores.
IQ scores are generally interpreted as follows:

• \(90-110\): Average intelligence
• \(110-120\): Above average intelligence
• \(120+\): High intelligence
• Below \(90\): Below average intelligence