Step 1: Understanding the Question
This question requires an explanation of the concept of Intelligence Quotient (IQ), which is a standardized measure of a person's intelligence. It also asks for the method used to calculate it, including the underlying formula and its components.
Step 2: Key Formula or Approach
The calculation of IQ was originally developed by William Stern and is based on the ratio of an individual's Mental Age (MA) to their Chronological Age (CA). The formula is:
\[
IQ = \frac{\text{Mental Age (MA)}}{\text{Chronological Age (CA)}} \times 100
\]
Step 3: Detailed Explanation
Intelligence Quotient (IQ): IQ is a numerical score derived from a set of standardized tests designed to assess human intelligence. The score indicates how an individual's mental ability compares to the average performance of other individuals in the same age group. A score of 100 is considered the average.
Mental Age (MA): This concept, introduced by Alfred Binet, refers to an individual's level of intellectual development relative to others. For example, if a 10-year-old child can solve problems that an average 12-year-old can, their mental age is 12.
Chronological Age (CA): This is the biological age of a person, measured in years and months from birth.
Calculation Example: If a child has a Chronological Age (CA) of 10 years and a Mental Age (MA) of 12 years, their IQ would be calculated as follows:
\[
IQ = \frac{12}{10} \times 100 = 120
\]
This score of 120 indicates that the child's intelligence is above the average for their age group.
Interpretation of Scores: IQ scores are typically distributed on a normal curve. Scores between 90 and 110 are considered average, while scores above 110 are above average, and scores below 90 are below average.